Sum of Squares Based Input-to-State Stability Analysis of Polynomial Nonlinear Systems-Reference-Cited by-同舟云学术

Sum of Squares Based Input-to-State Stability Analysis of Polynomial Nonlinear Systems

Published:2012-07-01 Issue:4 Volume:5 Page:218-225
ISSN:1882-4889
Container-title:SICE Journal of Control, Measurement, and System Integration
language:en
Short-container-title:SICE Journal of Control, Measurement, and System Integration

Author:

Ichihara Hiroyuki¹

Affiliation:

1. Department of Mechanical Engineering Informatics, Meiji University

Publisher

Informa UK Limited

Link

https://www.tandfonline.com/doi/pdf/10.9746/jcmsi.5.218

Reference25 articles.

1. [1] H. K. Khalil: Nonlinear Systems, third edition, Prentice Hall, 2001.

2. [2] P. A. Parrilo: Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization, Ph.D. dissertation, California Institute of Technology, 2000.

3. [3] G. Chesi, A. Garulli, A. Tesi, and A. Vicino: Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems, Lecture Notes in Control and Information Sciences Vol. 390, Springer, 2009.

4. [4] H. Ichihara: Optimal control for polynomial systems using matrix sum of squares relaxations, IEEE Transactions on Automatic Control, Vol. 54, No. 5, pp. 1050-1055, 2009.

5. [5] Z. Jarvis-Wloszek, R. Feeley, W. Tan, K. Sun, and A. Packard: Control applications of sum of squares programming, Positive Polynomials and Control, Lecture Notes in Control and Information Sciences Vol. 312, Springer, pp. 3-22, 2005.

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