A converse Lyapunov theorem for discrete-time systems with disturbances

Zhong Ping Jiang; Yuan Wang

doi:10.1016/S0167-6911(01)00164-5

A converse Lyapunov theorem for discrete-time systems with disturbances

Zhong Ping Jiang, Yuan Wang

Electrical and Computer Engineering

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

Abstract

A converse Lyapunov theorem was presented for discrete-time systems with disturbances. Periodic systems, time-invariant systems and globally asymptotically stable (GAS) systems are also investigated. It was shown that a smooth Lyapunov function existed for a family of time-varying discrete systems if these systems were globally asymptotically stable.

Original language	English (US)
Pages (from-to)	49-58
Number of pages	10
Journal	Systems and Control Letters
Volume	45
Issue number	1
DOIs	https://doi.org/10.1016/S0167-6911(01)00164-5
State	Published - Jan 15 2002

Keywords

Converse Lyapunov theorem
Discrete time
Global stability
Lyapunov functions
Nonlinear systems

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/S0167-6911(01)00164-5

Cite this

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title = "A converse Lyapunov theorem for discrete-time systems with disturbances",

abstract = "A converse Lyapunov theorem was presented for discrete-time systems with disturbances. Periodic systems, time-invariant systems and globally asymptotically stable (GAS) systems are also investigated. It was shown that a smooth Lyapunov function existed for a family of time-varying discrete systems if these systems were globally asymptotically stable.",

keywords = "Converse Lyapunov theorem, Discrete time, Global stability, Lyapunov functions, Nonlinear systems",

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AU - Wang, Yuan

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N2 - A converse Lyapunov theorem was presented for discrete-time systems with disturbances. Periodic systems, time-invariant systems and globally asymptotically stable (GAS) systems are also investigated. It was shown that a smooth Lyapunov function existed for a family of time-varying discrete systems if these systems were globally asymptotically stable.

AB - A converse Lyapunov theorem was presented for discrete-time systems with disturbances. Periodic systems, time-invariant systems and globally asymptotically stable (GAS) systems are also investigated. It was shown that a smooth Lyapunov function existed for a family of time-varying discrete systems if these systems were globally asymptotically stable.

KW - Converse Lyapunov theorem

KW - Discrete time

KW - Global stability

KW - Lyapunov functions

KW - Nonlinear systems

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EP - 58

JO - Systems and Control Letters

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ER -

A converse Lyapunov theorem for discrete-time systems with disturbances

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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