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著書(分担)

Hiroaki Mukaidani : Incentive Stackelberg Games for Stochastic Systems, Part of the Annals of the International Society of Dynamic Gamesbook series (AISDG, volume 16), Frontiers in Games and Dynamic Gamespp, Springer, pp.41-118, 2020. Detail Information
Hiroaki Mukaidani and Hua Xu : Closed-Loop Nash Games for Interconnected Positive Nonlinear Systems with H_∞ Constraint, Lecture Notes in Control and Information Sciences, Positive Systems, Theory and Applications (POSTA 2018), Springer, pp.215-224, 2019. Detail Information
Hiroaki Mukaidani, Hua Xu and Vasile Dragan : Dynamic Games for Markov Jump Stochastic Delay Systems, Advances in Delays and Dynamics in Springer, Recent results on time-delay systems: analysis and control, Volume 5 of the series Advances in Delays and Dynamics pp 207-227, 2016. Detail Information
Hiroaki Mukaidani, Yasuhisa Ishii, Yoshiyuki Tanaka and Toshio Tsuji : Robust Static and Dynamic Output Feedback Suboptimal Control of Uncertain Discrete-Time Systems Using Additive Gain Perturbations, Optimization Theory, Nova Science Publishers, Inc. pp.387-406, 2011. Detail Information
Hiroaki Mukaidani and Vasile Dragan : Numerical Computation for Solving Cross-Coupled Large-Scale Singularly Perturbed Stochastic Algebraic Riccati Equation, Large Scale Computations, Nova Science Publishers, Inc. pp.407-424, 2011. Detail Information
Hiroaki Mukaidani, Hua Xu and Koichi Mizukami : Numerical Algorithm for Solving Cross-Coupled Algebraic Riccati Equations of Singularly Perturbed Systems, the Annals of the International Symposium on Dynamic Games and Applications, Birkhauser, pp.545-570, 2005. Detail Information
Hiroaki Mukaidani, Hua Xu and Koichi Mizukami: Numerical Algorithm for Solving Cross-Coupled Multiparameter Algebraic Riccati Equations of Multimodeling Systems Related to Nash Games, ICM Millennium Lectures on Games, pp.359-371, 2003. Detail Information

原著論文

単著あるいは筆頭著者である共著

Hiroaki Mukaidani, Muneomi Sagara and Hua Xu : Sign-indefinite static output feedback Nash strategy for mean-field stochastic systems, Asian Journal of Control, Vol.25, 2023 (to appear).
Hiroaki Mukaidani, Shunpei Irie, Hua Xu and Weihua Zhuang : Robust Incentive Stackelberg Games with a Large Population for Stochastic Mean-Field Systems, IEEE Control Systems Letters, Vol.6, pp.1934-1939, 2022. Paper.
Hiroaki Mukaidani and Hua Xu : Infinite Horizon Stackelberg Games with a Large Follower Population for Stochastic LPV Systems, IEEE Control Systems Letters, Vol.6, pp.1034-1039, 2022. Paper.
Hiroaki Mukaidani, Hua Xu and Weihua Zhuang : H_∞ Constrained Pareto Suboptimal Strategy for Stochastic LPV Time-Delay Systems, International Game Theory Review, Vol.24, No.1, 2150010, 2022. Paper.
Hiroaki Mukaidani and Hua Xu : Robust SOF Stackelberg Game for Stochastic LPV Systems, SCIENCE CHINA Information Sciences (SCIS), Vol.64, number: 200202, 2021 Paper.
Hiroaki Mukaidani, Hua Xu and Weihua Zhuang : Robust Static Output Feedback Nash Strategy for Uncertain Markov Jump Linear Stochastic Systems, IET Control Theory & Applications, (Brief paper), Vol.15, pp.1559-1570, 2021. Paper.
Hiroaki Mukaidani, Ramasamy Saravanakumar, Hua Xu and Weihua Zhuang : Robust Static Output Feedback Stackelberg Strategy for Markov Jump Delay Stochastic Systems, Annals of the Academy of Romanian Scientists Series on Mathematics and Its Applications, Vol.12, No.1-2, pp.476-500, 2020.
Hiroaki Mukaidani, Ramasamy Saravanakumar, Hua Xu, Weihua Zhuang : Stackelberg Strategy for Uncertain Markov Jump Delay Stochastic Systems, IEEE Control Systems Letters, Vol.4, No.4, pp.1006-1011, 2020. Paper.
Hiroaki Mukaidani, Ramasamy Saravanakumar and Hua Xu : Robust incentive Stackelberg strategy for Markov jump linear stochastic systems via static output feedback, IET Control Theory & Applications, (Brief paper), Vol.14, Issue 9, pp.1246-1254, 2020. Paper.
Hiroaki Mukaidani and Hua Xu : Incentive Stackelberg Games for Stochastic Linear Systems With H_∞ Constraint, IEEE Transactions on Cybernetics, Vol.49, No.4, pp.1463-1474, 2019. Paper.
Hiroaki Mukaidani and Tadashi Shima : Basic Theorems in Numerical Analysis in Control Engineering Course and Their Application, International Journal of Control, Automation and Systems, Vol.16, Issue 5, pp. 2321-2333, 2018.
Hiroaki Mukaidani, Hua Xu and Vasile Dragan : Static Output-Feedback Incentive Stackelberg Game for Discrete-Time Markov Jump Linear Stochastic Systems with External Disturbance, IEEE Control Systems Letters, Vol.2, No.4, pp.701-706, 2018. Paper.
Hiroaki Mukaidani and Hua Xu : Differential Games for Weakly Coupled Large-Scale Linear Stochastic Systems with an H_∞-Constraint, International Game Theory Review, Vol.20, Issue 1, 1750025, 24 pages, 2018. Paper.
Hiroaki Mukaidani, Hua Xu, Tadashi Shima and Vasile Dragan : A Stochastic Multiple-Leader-Follower Incentive Stackelberg Strategy for Markov Jump Linear Systems, IEEE Control Systems Letters, Vol.1, No.2, pp.250-255, 2017. Paper.
Hiroaki Mukaidani and Hua Xu : Open-loop Stackelberg Games for Stochastic Systems, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E100-A, No.4, pp.989-995, 2017. Paper.
Hiroaki Mukaidani and Hua Xu : Infinite Horizon Linear-Quadratic Stackelberg Games for Discrete-time Stochastic Systems, Automatica (Brief paper), Vol.76, March, pp.301-308, 2017.
Hiroaki Mukaidani : Infinite-Horizon Team-Optimal Incentive Stackelberg Games for Linear Stochastic Systems, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Letter), Vol.E99-A, No.9, pp.1721-1725, 2016.
向谷博明, 三宅利寛 : 確率システムにおける有限時間ナッシュゲームの数値解, 電気学会論文誌C, Vol.135-C, No.7, pp.865-871, 2015.
Hiroaki Mukaidani and Hua Xu : Stackelberg Strategies for Stochastic Systems with Multiple Followers, Automatica (Brief paper), Vol.53, March, pp.53-59, 2015.
Hiroaki Mukaidani, Hua Xu and Vasile Dragan : Decentralized H₂ Control for Multi-channel Stochastic Systems, IEEE Transactions on Automatic Control (Technical notes), Vol.60, No.4, pp.1080-1086, 2015.
Hiroaki Mukaidani, Ryousei Tanabata and Chihiro Matsumoto : Dynamic Game Approach of H₂/H_∞ Control for Stochastic Discrete-Time Systems, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E97-A, No.11, pp.2200-2211, 2014.
向谷博明 : 離散時間確率H₂/H_∞制御問題を解くための数値計算, 計測自動制御学会論文集(ショートペーパー), Vol.50, No.6, pp.506-508, 2014.
Hiroaki Mukaidani : Dynamic Games for Stochastic Systems with Delay, Asian Journal of Control, Vol.15, No.5, pp.1251-1260, September 2013.
向谷博明 : 弱結合マルチチャネル確率システムのためのH₂静的出力フィードバック制御系設計, 計測自動制御学会論文集, Vol.49, No.2, pp.292-301, 2013.
Hiroaki Mukaidani and Toru Yamamoto: Nash Strategy for Multiparameter Singularly Perturbed Markov Jump Stochastic Systems, IET Control Theory & Applications (Brief paper), Vol.6, Issue 14, pp.2337-2345, 2012.
向谷博明, 平田知輝 : 制御ゲイン変動を伴う確率制御を利用したむだ時間マルコフジャンプシステムのための安定化, 電子情報通信学会和文論文誌A分冊(レター), Vol.J95-A, No.11, pp.783-789, 2012.
Hiroaki Mukaidani : Guaranteed Cost PID Control for Uncertain Discrete-Time Stochastic Systems with Additive Gain Perturbations, Asian Journal of Control (Brief paper), Vol.13, No.6, pp.1005-1017, Nov. 2011.
Hiroaki Mukaidani : Local Feedback Pareto Strategy for Weakly Coupled Large Scale Discrete-Time Stochastic Systems, IET Control Theory & Applications, Vol.5, Issue 17, pp.2005-2014, 2011.
向谷博明, Hua Xu : 離散時間弱結合大規模確率システムにおける動的ゲームの特徴, 計測自動制御学会論文集, Vol.46, No.8, pp.501-510, 2010.
Hiroaki Mukaidani, Hua Xu and Vasile Dragan : Stochastic Optimal Control for Weakly Coupled Large-Scale Systems via State and Static Output Feedback, IET Control Theory & Applications (Brief paper), Vol.4, Issue 9, pp.1849-1858, 2010.
向谷博明, 相良宗臣, 山本透 : 静的出力フィードバックを利用した不確定確率システムのためのコスト保証制御, 電子情報通信学会和文論文誌A分冊(レター), Vol.J93-A, No.2, pp.146-151, 2010.
Hiroaki Mukaidani and Hua Xu : Pareto Optimal Strategy for Stochastic Weakly Coupled Large Scale Systems with State Dependent System Noise, IEEE Transactions on Automatic Control (Technical notes), Vol.54, No.9, pp.2244-2250, 2009.
Hiroaki Mukaidani : The Guaranteed Cost Control for Uncertain Nonlinear Large-Scale Stochastic Systems via State and Static Output Feedback, Journal of Mathematical Analysis and Applications, Vol.359, Issue 2, 15 November, pp.527-535, 2009. Paper
Hiroaki Mukaidani : Robust Guaranteed Cost Control for Uncertain Stochastic Systems with Multiple Decision Makers, Automatica (Brief paper), Vol.45, No.7, pp.1758-1764, 2009. Paper
Hiroaki Mukaidani : Soft-Constrained Stochastic Nash Games for Weakly Coupled Large-Scale Systems, Automatica (Brief paper), Vol.45, No.5, pp.1272-1279, 2009. Paper
向谷博明 : 弱結合大規模確率システムのためのNash均衡戦略, 計測自動制御学会論文集, Vol.44, No.3, pp.260-268, 2008.
Hiroaki Mukaidani : Numerical Computation of Cross-Coupled Algebraic Riccati Equations Related to H_∞-Constrained LQG Control Problem, Applied Mathematics and Computation, Vol.199, Issue 2, pp.663-676, 2008.
Hiroaki Mukaidani, Seiji Yamamoto and Toru Yamamoto : A Numerical Algorithm for Finding Solution of Cross-Coupled Algebraic Riccati Equations, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Letter), Vol.E91-A, No.2, pp.682-685, 2008.
Hiroaki Mukaidani : Numerical Computation for H_∞ Output Feedback Control for Strongly Coupled Large-Scale Systems, Applied Mathematics and Computation, Vol.197, Issue 1, pp.212-227, 2008.
向谷博明 : 連立型代数リアプノフ方程式を解くための勾配法に基くアリゴリズム, 計測自動制御学会論文集(ショートペーパー), Vol.43, No.9, pp.829-831, 2007.
Hiroaki Mukaidani : A Numerical Algorithm for Finding Solution of Sign-Indefinite Algebraic Riccati Equations for General Multiparameter Singularly Perturbed Systems, Applied Mathematics and Computation, Vol.189, Issue 1, pp.255-270, 2007.
Hiroaki Mukaidani : Efficient Numerical Procedures for Solving Closed-Loop Stackelberg Strategies with Small Singular Perturbation Parameter, Applied Mathematics and Computation, Vol.188, Issue 2, pp.1173-1183, 2007.
Hiroaki Mukaidani : Newton's Method for Solving Cross-Coupled Sign-Indefinite Algebraic Riccati Equations for Weakly Coupled Large-Scale Systems, Applied Mathematics and Computation, Vol.188, Issue 1, pp.103-115, 2007. Paper (PDF)
(a) 向谷博明, 木元稔 : 付加的制御ゲインを利用した不確定大規模システムのための分散二次コスト保証制御, 電気学会論文誌C, Vol.127-C, No.5, pp.712-725, 2007.
(b) Hiroaki Mukaidani and Minoru Kimoto : Decentralized guaranteed cost control for uncertain large-scale systems using additive control gain, Electrical Engineering in Japan, Vol.169, Issue 3, pp.18-32, 2009.
向谷博明, 山本誠司, Hua Xu : Newton法を利用したH₂/H_∞制御問題を解くための数値計算, 計測自動制御学会論文集(ショートペーパー), Vol.43, No.1, pp.67-69, 2007.
Hiroaki Mukaidani : Numerical Computation of Sign Indefinite Linear Quadratic Differential Games for Weakly Coupled Large-Scale Systems, International Journal of Control, Vol.80, No.1, pp.75-86, 2007. Paper (PDF)
向谷博明, 石井靖久, 坂口誠史郎, 田中良幸, 辻敏夫 : 付加的制御入力を利用した不確定離散時間システムのためのロバスト静的出力フィードバック制御, 電子情報通信学会和文論文誌A分冊(レター), Vol.J89-A, No.12, pp.1209-1214, 2006.
Hiroaki Mukaidani : Local Uniqueness for Nash Solutions of Multiparameter Singularly Perturbed Systems, IEEE Transactions on Circuits & Systems II: Express Briefs, Vol.53, No.10, pp.1103-1107, 2006. Paper (PDF)
Hiroaki Mukaidani : A Numerical Analysis of the Nash Strategy for Weakly Coupled Large-Scale Systems, IEEE Transactions on Automatic Control (Technical notes), Vol.51, No.8, pp.1371-1377, 2006. Paper (PDF)
向谷博明, 大屋英稔, Hua Xu : 特異摂動システムのロバスト静的出力フィードバック制御, 計測自動制御学会論文集 Vol.42, No.5, pp.483-492, 2006.
Hiroaki Mukaidani : Optimal Numerical Strategy for Nash Games of Weakly Coupled Large-Scale Systems, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, Vol.13, No.2, pp.249-268, 2006.
Hiroaki Mukaidani : Nash Games for Multiparameter Singularly Perturbed Systems with Uncertain Small Singular Perturbation Parameters, IEEE Transactions on Circuits & Systems II: Express Briefs, Vol.52, No.9, pp.586-590, 2005. Paper (PDF)
Hiroaki Mukaidani, Yasuhisa Ishii, Nan Bu, Yoshiyuki Tanaka and Toshio Tsuji : LMI Based Neurocontroller for State-Feedback Guaranteed Cost Control of Discrete-Time Uncertain System, "Special Issue on Recent Advances in Circuits and Systems" of IEICE Transactions on Information and Systems, Vol.E88-D, No.8, pp.1903-1911, 2005. Paper (PDF)
(a) 向谷博明, Hua Xu, 門田良実 : 弱結合システムに対するリカッチ代数方程式を解くための数値計算法, 電気学会論文誌C, Vol.125-C, No.7, pp.1117-1125, 2005.
(b) Hiroaki Mukaidani, Hua Xu, Yoshimi Monden : Numerical Computation for Solving Algebraic Riccati Equations of Weakly Coupled Systems, Electrical Engineering in Japan, Vol.160, Issue 1, pp.39-48, 2007.
Hiroaki Mukaidani : Numerical Computation for H₂ State Feedback Control of Large-Scale Systems, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, Vol.12, No.2, pp.281-296, 2005.
Hiroaki Mukaidani : A New Approach to Robust Guaranteed Cost Control for Uncertain Multimodeling Systems, Automatica (Brief paper), Vol.41, No.6, pp.1055-1062, 2005. Paper (PDF)
向谷博明 : 弱結合システムのH_∞状態フィードバック制御, 計測自動制御学会論文集 Vol.41, No.5, pp.427-436, 2005.
Hiroaki Mukaidani : A New Design Approach for Solving Linear Quadratic Nash Games of Multiparameter Singularly Perturbed Systems, IEEE Transactions on Circuits & Systems I: Regular Papers, Vol.52, No.5, pp.960-974, 2005. Paper (PDF)
Hiroaki Mukaidani : Recursive Approach of Optimal Kalman Filtering Problem for Multiparameter Singularly Perturbed Systems, International Journal of Systems Sciences, Vol.36, No.1, pp.1-11, 2005. Paper (PDF)
(a) 向谷博明, 大屋英稔, Hua Xu : コスト保証制御理論によるマルチモデルシステムのロバスト安定化, 電気学会論文誌C, Vol.125-C, No.1, pp.67-76, 2005.
(b) Hiroaki Mukaidani, Hidetoshi Oya, Hua Xu : Robust Stabilization of Multimodeling Systems via Guaranteed Cost Control Theory, Electrical Engineering in Japan, Vol.160, Issue 4, pp.49-59, 2007.
Hiroaki Mukaidani : An LMI Approach to Decentralized Guaranteed Cost Control for a Class of Uncertain Nonlinear Large-Scale Delay Systems, Journal of Mathematical Analysis and Applications, Vol.300, Issue 1, December, pp.17-29, 2004. Paper (PDF)
Hiroaki Mukaidani and Hua Xu : Recursive Computation of Nash Strategy for Multiparameter Singularly Perturbed Systems, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, Vol.11, No.6, pp.673-700, 2004.
Hiroaki Mukaidani, Tetsu Shimomura and Hua Xu : Numerical Computation of Cross-Coupled Algebraic Riccati Equations Related to H₂/H_∞ Control Problem for Singularly Perturbed Systems, International Journal of Robust and Nonlinear Control, Vol. 14, Issue 8, pp.697-717, 2004. Paper (PDF)
Hiroaki Mukaidani, Hua Xu and Koichi Mizukami : New Results for Near-Optimal Control of Linear Multiparameter Singularly Perturbed Systems, Automatica (Brief paper), Vol.39, No.12, pp.2157-2167, 2003. Paper (PDF)
向谷博明 : マルチモデルシステムのためのナッシュ戦略, 計測自動制御学会論文集 Vol.39, No.6, pp.559-568, 2003.
向谷博明, 田中良幸, 水上孝一 : 不確定特異摂動システムのロバストフィルタ設計, 機械学会論文集C編 Vol.69, No.6, pp.1571-1578, 2003.
Hiroaki Mukaidani : An LMI Approach to Guaranteed Cost Control for Uncertain Delay systems, IEEE Transactions on Circuits & Systems I: Fundamental Theory and Applications (Transactions briefs), Vol.50, No.6, pp.795-800, 2003. Paper (PDF)
Hiroaki Mukaidani : Near-Optimal Kalman Filters for Multiparameter Singularly Perturbed Linear Systems, IEEE Transactions on Circuits & Systems I: Fundamental Theory and Applications (Transactions briefs), Vol.50, No.5, pp.717-721, 2003. Paper (PDF)
向谷博明, 水上孝一 : 不確定大規模むだ時間システムの分散2次コスト保証制御, 機械学会論文集C編 Vol.69, No.5, pp.1260-1266, 2003.
向谷博明, 田中良幸, 水上孝一 : 特異摂動システムに関するリカッチ方程式を解くためのニュートン法, 電気学会論文誌C, Vol.123-C, No.5, pp.970-977, 2003.
(a) 向谷博明, 田中良幸, 水上孝一 : 制御ゲイン変動を受ける大規模システムのための2次コスト保証制御, 電気学会論文誌C, Vol.123-C, No.1, pp.118-129, 2003. 論文 (PDF)
(b) Hiroaki Mukaidani, Yoshiyuki Tanaka and Koichi Mizukami : The Guaranteed Cost Control for Large-Scale Systems under Control Gain Perturbations, Electrical Engineering in Japan, Vol.146, Issue 4, pp.43-57, 2004. Paper (PDF)
Hiroaki Mukaidani, Tetsu Shimomura and Hua Xu : Near-Optimal Control of Linear Multiparameter Singularly Perturbed Systems, IEEE Transactions on Automatic Control (Technical notes), Vol.47, No.12, pp.2051-2057, 2002. Paper (PDF)
Hiroaki Mukaidani, Hua Xu and Koichi Mizukami : Recursive Computation of Pareto Optimal Strategy for Multiparameter Singularly Perturbed Systems, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, Vol.9, No.2, pp.175-200, 2002. Paper (PDF)
Hiroaki Mukaidani, Tetsu Shimomura and Koichi Mizukami : Asymptotic Expansions and New Numerical Algorithm of the Algebraic Riccati Equation for Multiparameter Singularly Perturbed Systems, Journal of Mathematical Analysis and Applications, Vol.267, Issue 1, March, pp.209-234, 2002. Paper (PDF)
Hiroaki Mukaidani, Hua Xu and Koichi Mizukami : A Revised Kleinman Algorithm to Solve Algebraic Riccati Equation of Singularly Perturbed Systems, Automatica (Technical communique), Vol.38, No.3, pp.553-558, 2002. Paper (PDF)
Hiroaki Mukaidani and Hua Xu : H₂ Guaranteed Cost Control Problem of Singularly Perturbed Systems with Uncertainties, International Journal of Systems Sciences, Vol.32, No.11, pp.1333-1343, 2001.
Hiroaki Mukaidani, Hua Xu and Koichi Mizukami : New Iterative Algorithm for Algebraic Riccati Equation Related to H_∞ Control Problem of Singularly Perturbed Systems, IEEE Transactions on Automatic Control (Technical notes), Vol.46, No.10, pp.1659-1666, 2001. Paper (PDF)
向谷博明 : マルチモデルシステムのための準最適制御, 計測自動制御学会論文集 Vol.37, No.10, pp.960-969, 2001. 論文 (PDF)
向谷博明, 新田智昭, 土橋宜典 : 不確定特異摂動システムの準最適コスト保証制御, 計測自動制御学会論文集 Vol.37, No.4, pp.316-324, 2001. 論文 (PDF)
Hiroaki Mukaidani and Koichi Mizukami : Guaranteed Cost Control Problem of Uncertain Singularly Perturbed Systems, Journal of Mathematical Analysis and Applications, Vol.251, Issue 2, pp.716-735, November, 2000. Paper (PDF)
Hiroaki Mukaidani, Hua Xu and Koichi Mizukami : Recursive Algorithm for Mixed H₂/H_∞ Control Problem of Singularly Perturbed Systems, International Journal of Systems Sciences, Vol.31, No.10, pp.1299-1312, 2000. Paper (PDF)
向谷博明, 新田智昭, 小林康秀, 沖田豪 : リカッチ方程式の手法を利用した非標準特異摂動システムの2次安定化, 電気学会論文誌C, Vol.120-C, No.7, pp.967-976, 2000. 論文 (PDF)
向谷博明, 小林康秀, 沖田豪 : γを含む連立型リカッチ代数方程式を解くための数値計算アルゴリズム, 電気学会論文誌C, Vol.120-C, No.5, pp.699-708, 2000. 論文 (PDF)
向谷博明, 小林康秀, 沖田豪 : 出力フィードバックを利用した非標準特異摂動システムのためのロバストH_∞制御問題, 計測自動制御学会論文集 Vol.35, No.10, pp.1273-1282, 1999. 論文 (PDF)
向谷博明, 小林康秀, 沖田豪 : 特異摂動システムにおける線形2次ナッシュゲームのための再帰的アルゴリズム, 計測自動制御学会論文集 Vol.35, No.5, pp.630-637, 1999. 論文 (PDF)
(a) 向谷博明, 水上孝一 : 構造的不確かさを有する特異摂動システムのためのロバスト安定性, 電気学会論文誌C, Vol.119-C, No.5, pp.593-602, 1999. 論文 (PDF)
(b) Hiroaki Mukaidani and Koichi Mizukami : Robust Stabilization for Singularly Perturbed Systems with Structured State Space Uncertainties, Electrical Engineering in Japan, Vol.132, Issue 4, pp.62-72, 2000. Paper (PDF)
Hiroaki Mukaidani, Hua Xu and Koichi Mizukami : Recursive Approach of H_∞ Control Problems for Singularly Perturbed Systems Under Perfect and Imperfect State Measurements, International Journal of Systems Sciences, Vol.30, No.5, pp.467-477, 1999. Paper (PDF)
向谷博明, 水上孝一 : 不確定要素を含む特異摂動システムのロバスト安定化, 電気学会論文誌D Vol.119-D, No.2, pp.159-167, 1999. 論文 (PDF)
向谷博明, 水上孝一, Hua Xu : 標準, 非標準特異摂動システムにおけるH_∞制御問題のための再帰的アルゴリズム, 計測自動制御学会論文集 Vol. 34, No.6, pp.555-562, 1998. 論文 (PDF)
向谷博明, 水上孝一 : 摂動項を含むH_∞タイプリカッチ方程式のための再帰的アルゴリズム, 電気学会論文誌C, Vol.117-C, No.10, pp.1464-1471, 1997. 論文 (PDF)
向谷博明, 水上孝一 : 非標準特異摂動システムにおけるLinear-Quadratic-Gaussian(LQG)問題のための再帰的アルゴリズム, 電気学会論文誌C, Vol.116-C, No.12, pp.1382-1389, 1996. 論文 (PDF)
向谷博明, 水上孝一, Hua Xu : 非標準特異摂動システムにおける最適レギュレータ問題のための再帰的アルゴリズム, 計測自動制御学会論文集 Vol.32, No.5, pp.672-678, 1996. 論文 (PDF)

その他の共著

入江駿平, 向谷博明，相良宗臣 : 静的出力フィードバック戦略によるむだ時間確率システムのための平均場ゲーム, 電気学会論文誌C, Vol.143-C, No.7, 2023 (掲載決定).
相良宗臣, 向谷博明 : 静的出力フィードバック戦略による確率システムのための符号不定線形二次微分ゲーム, 電気学会論文誌C, Vol.143-C, No.1, pp.38-46, 2023.
Zhouning Du and Hiroaki Mukaidani : Linear Dynamical Systems Approach for Human Action Recognition with Dual-Stream Deep Features, Applied Intelligence, Vol.52, pp.452-470, 2022. Paper.
Ramasamy Saravanakumar, Hiroaki Mukaidani and Muthukumar Palanisamy : Extended dissipative state estimation of delayed stochastic neural networks, Neurocomputing, Vol.406, No.17, pp.244-252, 2020. Paper.
川上恭平, 向谷博明, 相良宗臣 : LPVシステムにおけるインセンティブシュタッケルベルグ戦略, 電気学会論文誌C, Vol.138-C, No.7, pp.838-845, 2018.
Vasile Dragan, Ioan-Lucian Popa, Hiroaki Mukaidani and Toader Morozan : Exponential Stability in Mean Square of a Large Class of Singularly Perturbed Stochastic Linear Differential Equations, Annals of the Academy of Romanian Scientists Series on Mathematics and Its Applications, Vol.10, No.1, pp.140-164, 2018.
Mostak Ahmed, Hiroaki Mukaidani and Tadashi Shima : H_∞ Constraint Pareto Optimal Strategy for Stochastic LPV Systems, International Game Theory Review, Vol.20, Issue 2, 1750031, 20 pages, 2018. Paper.
Mostak Ahmed, Hiroaki Mukaidani and Tadashi Shima : H_∞-constrained Incentive Stackelberg games for Discrete-time Stochastic Systems with Multiple Followers, IET Control Theory & Applications, Vol.11 Issue 15, pp.2475-2485, 2017. Paper.
Vasile Dragan and Hiroaki Mukaidani : Optimal Control for a Singularly Perturbed Linear Stochastic System with Multiplicative White Noise Perturbations and Markovian Jumping, Optimal Control, Applications and Methods, Volume 38, Issue 2, pp.205-228, March/April 2017. Paper.
Vasile Dragan and Hiroaki Mukaidani : Exponential Stability in Mean Square of a Singularly Perturbed Linear Stochastic System with State Multiplicative White Noise Perturbations and Markovian Switching, IET Control Theory & Applications, Vol.10, Issue 9, pp.1040-1051, 2016.
相良宗臣, 向谷博明 : 付加的制御ゲインを伴う不確定マルチチャネルマルコフジャンプ確率システムのための安定化, 電気学会論文誌C, Vol.132-C, No.6, pp.886-896, 2012.
Vasile Dragan, Hiroaki Mukaidani and Peng Shi : The Linear Quadratic Regulator Problem for a Class of Controlled Systems Modeled by Singularly Perturbed Ito Differential Equations, SIAM J. Control and Optimization, Vol.50, No.1, pp.448-470, 2012.
相良宗臣, 向谷博明 : 弱結合大規模マルコフジャンプ確率システムのためのナッシュゲーム, 電気学会論文誌C, Vol.131-C, No.3, pp.644-654, 2011.
Muneomi Sagara, Hiroaki Mukaidani and Vasile Dragan : Near-Optimal Control for Multiparameter Singularly Perturbed Stochastic Systems, Optimal Control, Applications and Methods, Vol.32, Issue 1, pp.113-125, January/February 2011. Paper
Muneomi Sagara, Hiroaki Mukaidani and Toru Yamamoto : Near-Optimal Control for Singularly Perturbed Stochastic Systems, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E92-A, No.11, pp.2874-2882, 2009.
小林雅之, 向谷博明, 相良宗臣, 山本透 : 教育現場におけるサーバ管理者養成のための研修プログラムの開発, 日本教育工学会論文誌, Vol.33, No.2, pp.121-130, 2009.
Muneomi Sagara, Hiroaki Mukaidani and Toru Yamamoto : Recursive Computation of Static Output Feedback Stochastic Nash Games for Weakly-Coupled Large-Scale Systems, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E91-A, No.10 pp.3022-3029, 2008.
Muneomi Sagara, Hiroaki Mukaidani and Toru Yamamoto : Numerical Solution of Stochastic Nash Games with State-Dependent Noise for Weakly Coupled Large-Scale Systems, Applied Mathematics and Computation, Vol. 197, Issue 2, pp.844-857, 2008.
Muneomi Sagara, Hiroaki Mukaidani and Toru Yamamoto : Stochastic H_∞ Control Problem with State-Dependent Noise for Weakly Coupled Large-Scale Systems, IEEJ Transactions of Electrical & Electronic Engineering, Vol.2, Issue 6, pp.571-578, 2007.
大屋英稔, 萩野剛二郎, 向谷博明 : 制御ゲインに摂動を受ける不確定連続時間システムに対する2次コスト保証制御, 機械学会論文集C編, Vol.72, No.1, pp.92-101, 2006.
下村哲, 今岡光範, 向谷博明 : コンピュータを活用した数学の問題作り(III) -大学生により作成された問題を活用する方法を中心として-, 全国数学教育学会誌(数学教育学研究), 第10巻, pp.207-217, 2004.
下村哲, 今岡光範, 向谷博明 : コンピュータを活用した数学の問題作り(II)-自由に問題を作成する大学における実践を通して-, 全国数学教育学会誌(数学教育学研究), 第9巻, pp.235-241, 2003.
下村哲, 今岡光範, 向谷博明, 菅野栄光 : 高校生による数学の問題作り-高校３年生を対象として-, 全国数学教育学会誌(数学教育学研究), 第9巻, pp.243-253, 2003.
下村哲, 向谷博明, 松宮篤 : 高専生による数学の問題作り(I)-高専３年生を対象として-, 日本数学教育学会高専・大学部会論文誌, 第10巻第1号, pp.37-50, 2003.
Hua Xu and Hiroaki Mukaidani : The Linear Quadratic Dynamic Game for Discrete-Time Descriptor Systems, International Game Theory Review, Vol.5, No.4, pp.361-374, 2003.
下村哲, 今岡光範, 向谷博明 : コンピュータを活用した数学の問題作り(I)-大学における実践を通して-, 全国数学教育学会誌,(数学教育学研究), 第8巻, pp. 235-242, 2002.
小林康秀, 沖田豪, 向谷博明 : ニューラルネットワークによる次数が未知なウィナー型非線形システムの同定, 計測自動制御学会論文集, Vol.36, No.11, pp.923-929, 2000.
Hua Xu and Hiroaki Mukaidani : Connection Between the Generalized Riccati Equations and the Standard Reduced-Order Riccati Equations, Dynamics of Continuous, Discrete and Impulsive Systems, Vol.7, No.3, pp.441-453, 2000.
Hua Xu, Hiroaki Mukaidani and Koichi Mizukami : New Method for Composite Optimal Control of Singularly Perturbed Systems, International Journal of Systems Sciences, Vol.28, No.2, pp.161-172, 1997. Paper (PDF)

解説およびその他

向谷博明 : 動的ゲーム理論とロバスト性, 計測と制御, Vol.48, No.9, pp.718-723, 2009.
Hiroaki Mukaidani and Vasile Dragan : Control of Deterministic and Stochastic Systems with Several Small Parameters-A Survey, Annals of the Academy of Romanian Scientists Series on Mathematics and Its Applications, Vol.1, No.1, pp.112-158, 2009.
Hiroaki Mukaidani : Discussion on: "An Algorithm for Solving a Perturbed Algebraic Riccati Equation", European Journal of Control, Vol.10, No.6, pp.583-585, 2004.

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