Displaying similar documents to “The robustness of strong stability of positive homogeneous difference equations.”

Switching and stability properties of conewise linear systems

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...

Generalized practical stability analysis of discontinuous dynamical systems

Guisheng Zhai, Anthony Michel (2004)

International Journal of Applied Mathematics and Computer Science

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In practice, one is not only interested in the qualitative characterizations provided by the Lyapunov stability, but also in quantitative information concerning the system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner using the concept of practical stability. In the present paper, we give a new definition of generalized practical stability (abbreviated as GP-stability)...