Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions
Pavel Drábek, Milan Kučera (1986)
Czechoslovak Mathematical Journal
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Pavel Drábek, Milan Kučera (1986)
Czechoslovak Mathematical Journal
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Milan Kučera (1979)
Časopis pro pěstování matematiky
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Jinglai Shen, Lanshan Han, Jong-Shi Pang (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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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...