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Switching and stability properties of conewise linear systems

Jinglai ShenLanshan HanJong-Shi Pang — 2010

ESAIM: Control, Optimisation and Calculus of Variations

Being a unique phenomenon in hybrid systems, mode switch is of fundamental importance in dynamic and control analysis. In this paper, we focus on global long-time switching and stability properties of conewise linear systems (CLSs), which are a class of linear hybrid systems subject to state-triggered switchings recently introduced for modeling piecewise linear systems. By exploiting the conic subdivision structure, the “simple switching behavior” of the CLSs is proved. The infinite-time mode switching behavior...

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