Communications in Information and Systems

Volume 6 (2006)

Number 2

Small Gain Theorem with Restrictions for Uncertain Time-varying Nonlinear Systems

Pages: 115 – 136

DOI: https://dx.doi.org/10.4310/CIS.2006.v6.n2.a2

Authors

Jie Huang

Minghui Zhu

Abstract

This paper gives three versions of the small gain theorem with restrictions for uncertain time-varying nonlinear systems. The result can be viewed as an extension of the small gain theorem with restrictions for time-invariant nonlinear systems or the small gain theorem without restrictions for time-varying nonlinear systems. The result can be applied to study the stabilization problem or the output regulation problem of uncertain nonlinear systems.

Keywords

Small gain theorem, nonlinear control, nonlinear systems

Published 1 January 2006