Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse

Yanli Zhu and Yuangong Sun

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-7

Abstract:

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 uncontrollable subsystem, a sufficient condition is also given to guarantee the stabilization of the switched impulsive system under appropriate switching signal.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:134296

DOI: 10.1155/2013/134296

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