Displaying similar documents to “Remarks on stability of inverted pendula.”

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)...