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.
Cone-copositive piecewise quadratic lyapunov functions for conewise linear systems / Iervolino, Raffaele; Vasca, Francesco; Iannelli, Luigi. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - 60:11(2015), pp. 3077-3082. [10.1109/TAC.2015.2409933]
Cone-copositive piecewise quadratic lyapunov functions for conewise linear systems
IERVOLINO, RAFFAELE;
2015
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.| File | Dimensione | Formato | |
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