Small-gain theorem for ISS systems and applications
type: Item
instance of: scholarly article
title: Small-gain theorem for ISS systems and applications
zbMATH Open document ID: 0836.93054
DOI: 10.1007/BF01211469
author: Andrew Teel
author: Laurent Praly
author: Zhong-Ping Jiang
published in: MCSS. Mathematics of Control, Signals, and Systems
publication date: 1996-05-02T00:00:00Z
review text: A concept of input-to-output practical stability of smooth nonlinear control systems is introduced. A generalized small-gain theorem and a gain assignment theorem are proved. Applications are obtained: -- A sufficient condition for global asymptotic stability (in the spirit of the center manifold reduction theorem); -- Sufficient conditions for global asymptotic stabilization (via partial-state feedback) for linear systems with nonlinear stable dynamic perturbations and for a class of nonlinear control systems composed of a chain of dynamically perturbed integrators.
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 749746
zbMATH Keywords: input-to-output practical stability
zbMATH Keywords: nonlinear
zbMATH Keywords: small-gain theorem
zbMATH Keywords: global asymptotic stabilization
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 749746