On the H-infinity norm of 2D mixed continuous-discrete-time systems via rationally-dependent complex lyapunov functions

Title: On the H-infinity norm of 2D mixed continuous-discrete-time systems via rationally-dependent complex lyapunov functions
Creator: Chesi, Graziano; Middleton, Richard
Relation: 19th World Congress of the International Federation of Automatic Control (IFAC 2014). Proceedings of the 19th IFAC World Congress, 2014 (Cape Town, South Africa 24-29 August, 2014) p. 5568-5573
Publisher Link: http://dx.doi.org/10.3182/20140824-6-ZA-1003.00974
Publisher: International Federation of Automatic Control (IFAC)
Resource Type: conference paper
Date: 2014
Description: This paper addresses the problem of determining the H-infinity, norm of 2D mixed continuous-discrete-time systems. A novel approach is proposed based on the use of a class of complex Lyapunov functions with rational dependence on a parameter, which provides upper bounds on the sought norm via linear matrix inequalities (LMIs). It is also shown that the provided upper bounds are nonconservative by using rational functions in the chosen class with degree sufficiently large. Some numerical examples illustrate the proposed approach.
Subject: linear systems; Lyapunov methods
Identifier: http://hdl.handle.net/1959.13/1296884
Identifier: uon:19322
Identifier: ISBN:9783902823625
Language: eng
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