Cone-Copositive Piecewise Quadratic Lyapunov Functions for Conewise Linear Systems

Author

Iervolino, Raffaele ; Vasca, Francesco ; Iannelli, Luigi

Author_Institution

Dipt. di Ing. Elettr. e Tecnol. dell´Inf., Univ. di Napoli Federico II, Naples, Italy

Volume

60

Issue

11

fYear

2015

Firstpage

3077

Lastpage

3082

Abstract

In this technical note, cone-copositive piecewise quadratic Lyapunov functions (PWQ-LFs) for the stability analysis of conewise linear systems are proposed. The existence of a PWQ-LF is formulated as the feasibility of a cone-copositive programming problem which is represented in terms of linear matrix inequalities. A constructive procedure for its solution is provided. Examples show the effectiveness of the approach, also in the case of uncertain conewise linear systems.

Keywords

Lyapunov methods; linear matrix inequalities; linear systems; piecewise linear techniques; stability; PWQ-LF; cone-copositive piecewise quadratic Lyapunov function; cone-copositive programming problem; conewise linear system; linear matrix inequalities; stability analysis; Linear matrix inequalities; Linear systems; Lyapunov methods; Partitioning algorithms; Stability analysis; Standards; Symmetric matrices; Conewise linear systems; LMIs; Piecewise quadratic Lyapunov functions; Switched systems; piecewise quadratic Lyapunov functions; stability analysis; switched systems; uncertain systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2015.2409933

Filename

7054477