Numerical approach to Lyapunov's stability analysis of nonlinear systems using threshold accepting algorithms

Authors:
Suphaphorn Panikhom;Sarawut Sujitjorn
Affiliations:
School of Electrical Engineering, Suranaree University of Technology, Thailand;School of Electrical Engineering, Suranaree University of Technology, Thailand
Venue:
CSS'10 Proceedings of the 4th international conference on Circuits, systems and signals
Year:
2010

Citing 3
Cited 0

Threshold accepting: a general purpose optimization algorithm appearing superior to simulated annealing

Journal of Computational Physics
Brief paper: Lyapunov-based stability analysis automated by genetic programming

Automatica (Journal of IFAC)
Metaheuristics: From Design to Implementation

Metaheuristics: From Design to Implementation

Quantified Score

Hi-index	0.00

Visualization

Abstract

This article proposes a new approach to stability analysis of nonlinear systems via numerical computation for the Lyapunov's methods. The presentation includes the review of the Lyapunov's methods, the quadratic Lyapunov function, the threshold accepting algorithms and illustrative examples, respectively. The proposed approach yields a larger stability region for a polynomial system than an existing method does.