Noise-to-state stability of nonlinear systems with random disturbances and impulses

Ticao Jiao; Wei Xing Zheng

doi:10.1109/CDC.2016.7799392

Noise-to-state stability of nonlinear systems with random disturbances and impulses

Ticao Jiao, Wei Xing Zheng

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

2 Citations (Scopus)

Abstract

This paper is concerned with analyzing noise-to-state stability of a class of nonlinear systems with random disturbances and impulses. It is assumed that the random noises have finite second-order moments and the random impulses have impulse ranges driven by a sequence of random variables. The Lyapunov approach is first utilized to establish the criteria on global existence and stability of solutions for the considered random nonlinear impulsive systems. Then the average impulsive interval approach is applied to develop sufficient conditions on noise-to-state stability of random nonlinear impulsive systems. A numerical example is presented to show the efficiency of the proposed theoretical results.

Original language	English
Title of host publication	Proceedings of the 55th IEEE Conference on Decision and Control (CDC), Las Vegas, USA, December 12-14, 2016
Publisher	IEEE
Pages	7276-7281
Number of pages	6
ISBN (Print)	9781509018376
DOIs	https://doi.org/10.1109/CDC.2016.7799392
Publication status	Published - 2016
Event	IEEE Conference on Decision & Control - Duration: 12 Dec 2016 → …

Conference

Conference	IEEE Conference on Decision & Control
Period	12/12/16 → …

Keywords

Lyapunov functions
dynamics
nonlinear systems
variables (mathematics)

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10.1109/CDC.2016.7799392

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title = "Noise-to-state stability of nonlinear systems with random disturbances and impulses",

abstract = "This paper is concerned with analyzing noise-to-state stability of a class of nonlinear systems with random disturbances and impulses. It is assumed that the random noises have finite second-order moments and the random impulses have impulse ranges driven by a sequence of random variables. The Lyapunov approach is first utilized to establish the criteria on global existence and stability of solutions for the considered random nonlinear impulsive systems. Then the average impulsive interval approach is applied to develop sufficient conditions on noise-to-state stability of random nonlinear impulsive systems. A numerical example is presented to show the efficiency of the proposed theoretical results.",

keywords = "Lyapunov functions, dynamics, nonlinear systems, variables (mathematics)",

author = "Ticao Jiao and Zheng, {Wei Xing}",

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doi = "10.1109/CDC.2016.7799392",

language = "English",

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pages = "7276--7281",

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TY - GEN

T1 - Noise-to-state stability of nonlinear systems with random disturbances and impulses

AU - Jiao, Ticao

AU - Zheng, Wei Xing

PY - 2016

Y1 - 2016

N2 - This paper is concerned with analyzing noise-to-state stability of a class of nonlinear systems with random disturbances and impulses. It is assumed that the random noises have finite second-order moments and the random impulses have impulse ranges driven by a sequence of random variables. The Lyapunov approach is first utilized to establish the criteria on global existence and stability of solutions for the considered random nonlinear impulsive systems. Then the average impulsive interval approach is applied to develop sufficient conditions on noise-to-state stability of random nonlinear impulsive systems. A numerical example is presented to show the efficiency of the proposed theoretical results.

AB - This paper is concerned with analyzing noise-to-state stability of a class of nonlinear systems with random disturbances and impulses. It is assumed that the random noises have finite second-order moments and the random impulses have impulse ranges driven by a sequence of random variables. The Lyapunov approach is first utilized to establish the criteria on global existence and stability of solutions for the considered random nonlinear impulsive systems. Then the average impulsive interval approach is applied to develop sufficient conditions on noise-to-state stability of random nonlinear impulsive systems. A numerical example is presented to show the efficiency of the proposed theoretical results.

KW - Lyapunov functions

KW - dynamics

KW - nonlinear systems

KW - variables (mathematics)

UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:40157

U2 - 10.1109/CDC.2016.7799392

DO - 10.1109/CDC.2016.7799392

M3 - Conference Paper

SN - 9781509018376

SP - 7276

EP - 7281

BT - Proceedings of the 55th IEEE Conference on Decision and Control (CDC), Las Vegas, USA, December 12-14, 2016

PB - IEEE

T2 - IEEE Conference on Decision & Control

Y2 - 12 December 2016

ER -

Noise-to-state stability of nonlinear systems with random disturbances and impulses

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Keywords

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