Stability analysis of switched nonlinear delay systems with sampled-data inputs

Zhichuang Wang; Jian Sun; Guoliang Chen; Jie Chen

doi:10.1002/rnc.4653

Stability analysis of switched nonlinear delay systems with sampled-data inputs

Zhichuang Wang, Jian Sun^*, Guoliang Chen, Jie Chen

^*Corresponding author for this work

School of Automation

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

This study addresses the uniformly globally asymptotically stability (UGAS) problem of switched nonlinear delay systems (SNDSs) with sampled-data inputs (SDIs). By using multiple Lyapunov functionals (MLFs) method, mode-dependent average dwell times, and the total activating time length of MLFs, some stability criteria are explicitly obtained for SNDSs with SDIs. Meanwhile, the UGAS property for SNDSs with some or all unstable modes is investigated. For unstable modes and stable modes, we adopt different switching signals. Besides, we establish some sufficient stability conditions in the form of an upper bound on the sum of dwell times and sampling intervals. Simulation examples are adopted to illustrate and verify the effectiveness of our proposed methods.

Original language	English
Pages (from-to)	4700-4715
Number of pages	16
Journal	International Journal of Robust and Nonlinear Control
Volume	29
Issue number	14
DOIs	https://doi.org/10.1002/rnc.4653
Publication status	Published - 25 Sept 2019

Keywords

multiple Lyapunov functionals
sampled-data inputs
stability
switched nonlinear delay systems

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10.1002/rnc.4653

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Wang, Z., Sun, J., Chen, G., & Chen, J. (2019). Stability analysis of switched nonlinear delay systems with sampled-data inputs. International Journal of Robust and Nonlinear Control, 29(14), 4700-4715. https://doi.org/10.1002/rnc.4653

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title = "Stability analysis of switched nonlinear delay systems with sampled-data inputs",

abstract = "This study addresses the uniformly globally asymptotically stability (UGAS) problem of switched nonlinear delay systems (SNDSs) with sampled-data inputs (SDIs). By using multiple Lyapunov functionals (MLFs) method, mode-dependent average dwell times, and the total activating time length of MLFs, some stability criteria are explicitly obtained for SNDSs with SDIs. Meanwhile, the UGAS property for SNDSs with some or all unstable modes is investigated. For unstable modes and stable modes, we adopt different switching signals. Besides, we establish some sufficient stability conditions in the form of an upper bound on the sum of dwell times and sampling intervals. Simulation examples are adopted to illustrate and verify the effectiveness of our proposed methods.",

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author = "Zhichuang Wang and Jian Sun and Guoliang Chen and Jie Chen",

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AU - Wang, Zhichuang

AU - Sun, Jian

AU - Chen, Guoliang

AU - Chen, Jie

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Y1 - 2019/9/25

N2 - This study addresses the uniformly globally asymptotically stability (UGAS) problem of switched nonlinear delay systems (SNDSs) with sampled-data inputs (SDIs). By using multiple Lyapunov functionals (MLFs) method, mode-dependent average dwell times, and the total activating time length of MLFs, some stability criteria are explicitly obtained for SNDSs with SDIs. Meanwhile, the UGAS property for SNDSs with some or all unstable modes is investigated. For unstable modes and stable modes, we adopt different switching signals. Besides, we establish some sufficient stability conditions in the form of an upper bound on the sum of dwell times and sampling intervals. Simulation examples are adopted to illustrate and verify the effectiveness of our proposed methods.

AB - This study addresses the uniformly globally asymptotically stability (UGAS) problem of switched nonlinear delay systems (SNDSs) with sampled-data inputs (SDIs). By using multiple Lyapunov functionals (MLFs) method, mode-dependent average dwell times, and the total activating time length of MLFs, some stability criteria are explicitly obtained for SNDSs with SDIs. Meanwhile, the UGAS property for SNDSs with some or all unstable modes is investigated. For unstable modes and stable modes, we adopt different switching signals. Besides, we establish some sufficient stability conditions in the form of an upper bound on the sum of dwell times and sampling intervals. Simulation examples are adopted to illustrate and verify the effectiveness of our proposed methods.

KW - multiple Lyapunov functionals

KW - sampled-data inputs

KW - stability

KW - switched nonlinear delay systems

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DO - 10.1002/rnc.4653

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JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 14

ER -

Stability analysis of switched nonlinear delay systems with sampled-data inputs

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Keywords

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