Stability analysis of discrete-time switched systems with bipartite PDT switching

Qiang Yu; Xiujuan Jiang; Qiang Yu; Xiujuan Jiang

doi:10.3934/era.2024294

Electronic Research Archive

2024, Volume 32, Issue 11: 6320-6337. doi: 10.3934/era.2024294

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Theory article

Stability analysis of discrete-time switched systems with bipartite PDT switching

Qiang Yu ^,,
Xiujuan Jiang

School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China

Received: 14 September 2024 Revised: 30 October 2024 Accepted: 13 November 2024 Published: 22 November 2024

The stability and stabilization problems of discrete-time switched systems are studied under the so-called bipartite persistent dwell-time switching, which is proposed by relaxing some of the limitations in existing persistent dwell-time switching. This paper provides new stability criteria for discrete-time switched systems using a binary quasi-time-varying Lyapunov function. Next, the stabilizing controllers for discrete-time switched-controlled systems are designed. Finally, we give a practical example to show the effectiveness of the conclusions and less conservatism than those based on the persistent dwell-time switching.
- switched systems,
- bipartite persistent dwell-time,
- binary quasi-time-varying Lyapunov function,
- stabilization,
- controller
Citation: Qiang Yu, Xiujuan Jiang. Stability analysis of discrete-time switched systems with bipartite PDT switching[J]. Electronic Research Archive, 2024, 32(11): 6320-6337. doi: 10.3934/era.2024294

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Abstract

The stability and stabilization problems of discrete-time switched systems are studied under the so-called bipartite persistent dwell-time switching, which is proposed by relaxing some of the limitations in existing persistent dwell-time switching. This paper provides new stability criteria for discrete-time switched systems using a binary quasi-time-varying Lyapunov function. Next, the stabilizing controllers for discrete-time switched-controlled systems are designed. Finally, we give a practical example to show the effectiveness of the conclusions and less conservatism than those based on the persistent dwell-time switching.

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