Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time

2022, Volume 23, Issue 5

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Frontiers of Information Technology & Electronic Engineering >> 2022, Volume 23, Issue 5 doi: 10.1631/FITEE.2000698

Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time

Affiliation(s): School of Computer Science, Qufu Normal University, Rizhao 276826, China; College of Engineering, Qufu Normal University, Rizhao 276826, China; less

Received: 2022-05-19 Accepted: 2022-05-19 Available online: 2022-05-19

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Abstract

The problem of stabilizing switched linear systems under is addressed. The method is applied to design a switching signal that comprises slow and fast . Under this switching signal, the restriction that the maximum delay of is known in advance is removed. The constructed Lyapunov function is associated with both the system mode and controller mode. The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal. Finally, two examples are given to demonstrate the effectiveness of the proposed results.

Keywords

Asynchronous switching ; Admissible edge-dependent average dwell time ; Multi-Lyapunov function

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