A Nonlinear Small-Gain Theorem for Large-Scale Infinite-Dimensional Systems

Adiya Bao; Tengfei Liu; Zhong Ping Jiang; Lina Zhang

doi:10.1007/s11424-018-7376-5

A Nonlinear Small-Gain Theorem for Large-Scale Infinite-Dimensional Systems

Adiya Bao, Tengfei Liu, Zhong Ping Jiang, Lina Zhang

Electrical and Computer Engineering

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

Abstract

This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable (IOS) and unboundedness observable (UO), and the large-scale infinite-dimensional system can be proved to be IOS and UO if the proposed small-gain condition is satisfied.

Original language	English (US)
Pages (from-to)	188-199
Number of pages	12
Journal	Journal of Systems Science and Complexity
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/s11424-018-7376-5
State	Published - Feb 1 2018

Keywords

Infinite-dimensional systems
input-to-output stability (IOS)
input-to-state stability (ISS)
small-gain theorem

ASJC Scopus subject areas

Computer Science (miscellaneous)
Information Systems

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10.1007/s11424-018-7376-5

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abstract = "This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable (IOS) and unboundedness observable (UO), and the large-scale infinite-dimensional system can be proved to be IOS and UO if the proposed small-gain condition is satisfied.",

keywords = "Infinite-dimensional systems, input-to-output stability (IOS), input-to-state stability (ISS), small-gain theorem",

author = "Adiya Bao and Tengfei Liu and Jiang, {Zhong Ping} and Lina Zhang",

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KW - Infinite-dimensional systems

KW - input-to-output stability (IOS)

KW - input-to-state stability (ISS)

KW - small-gain theorem

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A Nonlinear Small-Gain Theorem for Large-Scale Infinite-Dimensional Systems

Abstract

Keywords

ASJC Scopus subject areas

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