ANALIZA STABILITĂŢII LYAPUNOV PENTRU SISTEME DINAMICE. ALGORITMI DE VERIFICARE ÎN MATHCAD

This article contains a synthesis of the basic concepts from the Lyapunov’s stability theory defining the notions of equilibrium, uniform stability, asymptotic stability, globally exponential stability and Lyapunov functions. Lyapunov’s direct method is discussed, complete with an analysis of the ev...

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Veröffentlicht in:Bulletin of "Carol I" National Defense University 2012 (2), p.60-74
1. Verfasser: Mironescu, Dan Mihai
Format: Artikel
Sprache:rum
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Zusammenfassung:This article contains a synthesis of the basic concepts from the Lyapunov’s stability theory defining the notions of equilibrium, uniform stability, asymptotic stability, globally exponential stability and Lyapunov functions. Lyapunov’s direct method is discussed, complete with an analysis of the evolution of a dynamical system in the phase plane conducted with the aid of Mathcad software. For dynamical autonomous systems the LaSalle theorem is used in the analysis of stability of motion, complementary to Lyapunov’s direct method.
ISSN:2284-936X
2284-9378