Dissipative control for singular impulsive dynamical systems | Zendy

Li Yang | Zendy; Xinzhi Liu | Zendy; Zhigang Zhang | Zendy

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Dissipative control for singular impulsive dynamical systems

Author(s) -

Li Yang,

Xinzhi Liu,

Zhigang Zhang

Publication year - 2012

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2012.1.32

Subject(s) - dissipative system , dissipation , mathematics , impulse (physics) , control theory (sociology) , dynamical systems theory , singular solution , mathematical analysis , control (management) , classical mechanics , computer science , physics , quantum mechanics , artificial intelligence , thermodynamics

The aim of this work is to study the dissipative control problem for singular impulsive dynamical systems. We start by introducing the impulse to the singular systems, and give the definition of the dissipation for singular impulsive dynamical systems. Then we discuss the dissipation of singular impulsive dynamical systems, we obtain some sufficient and necessary conditions for dissipation of these systems by solving some linear matrix inequalities (LMIs). By using this method, we design a state feedback controller to make the closed-loop system dissipative. At last, we testify the feasibility of the method by a numerical example.

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