NDLI: On the robust asymptotical stability of uncertain complex matrices over the complex unit circumference

Content Provider	IEEE Xplore Digital Library
Author	Chesi, Graziano
Copyright Year	2015
Description	Author affiliation: Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong (Chesi, Graziano)
Abstract	This paper addresses the problem of establishing whether a complex matrix depending polynomially on a scalar parameter and its conjugate constrained over the complex unit circumference is robustly asymptotically stable in either the continuous-time case or the discrete-time case. A necessary and sufficient condition is proposed in terms of a linear matrix inequality (LMI) feasibility test based on complex Lyapunov functions depending polynomially on the uncertainty. Specifically, the condition is sufficient for any arbitrarily chosen degree of the Lyapunov function. Moreover, the condition is also necessary for a sufficiently large degree of the Lyapunov function, and an upper bound on the minimum degree required for achieving necessity is also provided. Some numerical examples illustrate the proposed results.
Starting Page	5978
Ending Page	5983
File Size	164510
Page Count	6
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7403159
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robustness Lyapunov methods Symmetric matrices Linear matrix inequalities Uncertainty Mathematical model Asymptotic stability
Content Type	Text
Resource Type	Article

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