Title :
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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2015.2409933
