Switched nonlinear singular systems with time-delay: Stability analysis

Iman Zamani; Masoud Shafiee; Asier Ibeas

doi:https://doi.org/10.1002/rnc.3154

Switched nonlinear singular systems with time-delay: Stability analysis

Iman Zamani, Masoud Shafiee, Asier Ibeas

Department of Telecommunications and Systems Engineering

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

35 Citations (Scopus)

Abstract

Copyright © 2014 John Wiley & Sons, Ltd. This paper presents an approach to the stability analysis of a class of nonlinear interconnected continuous-time singular systems with arbitrary switching signals. This class of interconnected subsystems consists of unknown but bounded state delay and nonlinear terms, and each subsystem can be globally stable, unstable, or locally stable. By constructing a new Lyapunov-like Krasovskii functional, sufficient conditions are derived and formulated to check the asymptotic (exponential) stability of such systems with arbitrary switching signals. Then, some new general criteria for asymptotic (exponential) stability with average dwell-time switching signals are also established. The theoretical developments are demonstrated by two numerical simulations.

Original language	English
Pages (from-to)	1497-1513
Journal	International Journal of Robust and Nonlinear Control
Volume	25
DOIs	https://doi.org/10.1002/rnc.3154
Publication status	Published - 1 Jan 2015

Keywords

hybrid systems
nonlinear singular systems
stability analysis
time-delay

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title = "Switched nonlinear singular systems with time-delay: Stability analysis",

abstract = "Copyright {\textcopyright} 2014 John Wiley & Sons, Ltd. This paper presents an approach to the stability analysis of a class of nonlinear interconnected continuous-time singular systems with arbitrary switching signals. This class of interconnected subsystems consists of unknown but bounded state delay and nonlinear terms, and each subsystem can be globally stable, unstable, or locally stable. By constructing a new Lyapunov-like Krasovskii functional, sufficient conditions are derived and formulated to check the asymptotic (exponential) stability of such systems with arbitrary switching signals. Then, some new general criteria for asymptotic (exponential) stability with average dwell-time switching signals are also established. The theoretical developments are demonstrated by two numerical simulations.",

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T1 - Switched nonlinear singular systems with time-delay: Stability analysis

AU - Zamani, Iman

AU - Shafiee, Masoud

AU - Ibeas, Asier

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Y1 - 2015/1/1

N2 - Copyright © 2014 John Wiley & Sons, Ltd. This paper presents an approach to the stability analysis of a class of nonlinear interconnected continuous-time singular systems with arbitrary switching signals. This class of interconnected subsystems consists of unknown but bounded state delay and nonlinear terms, and each subsystem can be globally stable, unstable, or locally stable. By constructing a new Lyapunov-like Krasovskii functional, sufficient conditions are derived and formulated to check the asymptotic (exponential) stability of such systems with arbitrary switching signals. Then, some new general criteria for asymptotic (exponential) stability with average dwell-time switching signals are also established. The theoretical developments are demonstrated by two numerical simulations.

AB - Copyright © 2014 John Wiley & Sons, Ltd. This paper presents an approach to the stability analysis of a class of nonlinear interconnected continuous-time singular systems with arbitrary switching signals. This class of interconnected subsystems consists of unknown but bounded state delay and nonlinear terms, and each subsystem can be globally stable, unstable, or locally stable. By constructing a new Lyapunov-like Krasovskii functional, sufficient conditions are derived and formulated to check the asymptotic (exponential) stability of such systems with arbitrary switching signals. Then, some new general criteria for asymptotic (exponential) stability with average dwell-time switching signals are also established. The theoretical developments are demonstrated by two numerical simulations.

KW - hybrid systems

KW - nonlinear singular systems

KW - stability analysis

KW - time-delay

U2 - https://doi.org/10.1002/rnc.3154

DO - https://doi.org/10.1002/rnc.3154

M3 - Article

VL - 25

SP - 1497

EP - 1513

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

ER -