The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited

This paper focuses on the asymptotic stability of second-order switched linear systems with positive real part conjugate complex roots for each subsystem. Compared with available studies, a more appropriate state-dependent switching rule is designed to stabilize a switched system with the phase traj...

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Bibliographic Details
Main Authors: Xiaolan Yuan, Yusheng Zhou
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/11/10/566
Description
Summary:This paper focuses on the asymptotic stability of second-order switched linear systems with positive real part conjugate complex roots for each subsystem. Compared with available studies, a more appropriate state-dependent switching rule is designed to stabilize a switched system with the phase trajectories of two subsystems rotating outward in the same direction or the opposite direction. Finally, several numerical examples are used to illustrate the effectiveness and superiority of the proposed method.
ISSN:2075-1680