ANALIZA STABILITĂŢII LYAPUNOV PENTRU SISTEME DINAMICE. ALGORITMI DE VERIFICARE ÎN MATHCAD
ANALYSIS OF LYAPUNOV STABILITY THEORY FOR DYNAMICAL SYSTEMS. MATHCAD VERIFICATION ALGORITHMS
Author(s): Dan Mihai MironescuSubject(s): Economy
Published by: Carol I National Defence University Publishing House
Keywords: Lyapunov stability; Mathcad Programme; stability analysis of manipulators and robot motion
Summary/Abstract: 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.
Journal: Bulletin of "Carol I" National Defence University (EN)
- Issue Year: 2012
- Issue No: 02
- Page Range: 60-74
- Page Count: 15
- Language: Romanian
