Year: 2021
Author: Yuhong Zhang, Weisheng Huang, Xiaosong Yang
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 349–364
Abstract
Stabilization of switched systems fully composed of unstable modes is of theoretical and practical significance. In this paper, we obtain some sufficient algebraic conditions for stabilizing switched linear systems with all unstable subsystems based on the theory of spherical covering and crystal point groups. Under the proposed algebraic conditions switching laws are easy to be designed to stabilize the switched systems. Some simple examples are provided to illustrate our results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.349
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 349–364
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Switched system Unstable mode Stabilization Switching law Spherical covering.