Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse | Zendy

Yanli Zhu | Zendy; Yuangong Sun | Zendy

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Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse

Author(s) -

Yanli Zhu,

Yuangong Sun

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/134296

Subject(s) - control theory (sociology) , impulse (physics) , planar , discrete time and continuous time , linear system , signal (programming language) , mathematics , computer science , state (computer science) , algorithm , control (management) , physics , mathematical analysis , statistics , computer graphics (images) , quantum mechanics , artificial intelligence , programming language

We study the stabilization problem of discrete-time planar switched linear systems with impulse. When all subsystems are controllable, based on an explicit estimation on the state transition matrix, we establish a sufficient condition such that the switched impulsive system is stabilizable under arbitrary switching signal with given switching frequency. When there exists at least one uncontrollablesubsystem, a sufficient condition is also given to guarantee the stabilization of the switched impulsive system under appropriate switching signal

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