Robustification of a Nonlinear Dynamical System with a Stability Index and a Matrix Inequality

Author:

Oishi Yasuaki1,Kobayashi Mio2,Yoshinaga Tetsuya3

Affiliation:

1. Department of Mechatronics, Nanzan University

2. Department of Systems and Control Engineering, Anan National College of Technology

3. Institute of Health Biosciences, The University of Tokushima

Publisher

Informa UK Limited

Reference11 articles.

1. [1] H. Kitajima and T. Yazawa: Modified Luo-Rudy model and its bifurcation analysis for suppressing alternans, Proceedings of the 2011 International Symposium on Nonlinear Theory and Its Applications (NOLTA 2011), pp. 390-393, Kobe, Japan, 2011.

2. [2] H. Kitajima, T. Yoshinaga, J. Imura, and K. Aihara: Robust bifurcation analysis based on degree of stability, Analysis and Control of Complex Dynamical Systems: Robust Bifurcation, Instability, and Network-Complexity, K. Aihara, J. Imura, and T. Ueta, Eds., pp. 21-31, Springer, 2015.

3. [3] Y. Oishi: A matrix-inequality approach to optimization of the stability index, Proceedings of the 2013 IEICE General Conference, pp. SS44-SS45, Gifu, Japan, 2013, in Japanese.

4. [4] M. Kobayashi, K. Fujimoto, and T. Yoshinaga: Control to avoid chaos using robust bifurcation analysis method, Proceedings of the First SICE Multi-Symposium on Control Systems, 6D2-2, Chofu, Japan, 2014, in Japanese.

5. [5] Y. Oishi, M. Kobayashi, and T. Yoshinaga: Use of a matrix inequality technique for avoiding undesirable bifurcation, Analysis and Control of Complex Dynamical Systems: Robust Bifurcation, Instability, and Network-Complexity, K. Aihara, J. Imura, and T. Ueta, Eds., pp. 33-40, Springer, 2015.

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