ANALYSIS OF LYAPUNOV STABILITY THEORY FOR DYNAMICAL SYSTEMS. MATHCAD VERIFICATION ALGORITHMS

Authors

  • Dan Mihai MIRONESCU M&M COMPUTERS, Ploiesti

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.
Keywords: Lyapunov stability; Mathcad Programme; stability analysis of manipulators and robot motion.

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Published

2012-06-13

How to Cite

MIRONESCU, D. M. (2012). ANALYSIS OF LYAPUNOV STABILITY THEORY FOR DYNAMICAL SYSTEMS. MATHCAD VERIFICATION ALGORITHMS. BULLETIN OF "CAROL I" NATIONAL DEFENCE UNIVERSITY, 1(2). Retrieved from https://revista.unap.ro/index.php/bulletin/article/view/55-66

Issue

Vol. 1 No. 2 (2012)

Section

Articles

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