Lyapunov stability robustness of perturbed linear systems

Author

Banning, R.

Author_Institution

Fac. of Applied Phys., Delft Univ. of Technol., Netherlands

Volume

3

fYear

1994

fDate

5-9 Sep 1994

Firstpage

1897

Abstract

Lyapunov stability robustness bounds for perturbed linear systems affected by structured parametrised (nonlinear) uncertainty are well known; the Lyapunov candidate employed was quadratic in state vector x. In this paper, a stability analysis is presented which relies upon a Lyapunov candidate quadratic in the system dynamics; application of this particular choice of Lyapunov candidate is also known as the direct Krasovskii method. The result of this analysis consists of parameter bounds guaranteeing robust (local, uniform, asymptotic) stability of the equilibrium point x=0

Keywords

Lyapunov methods; asymptotic stability; control system analysis; linear systems; perturbation techniques; robust control; Lyapunov candidate; Lyapunov stability; asymptotic stability; direct Krasovskii method; equilibrium point; perturbed linear systems; robustness bounds; state vector; structured parametrised uncertainty; system dynamics; Asymptotic stability; Linear systems; Lyapunov method; Nonlinear dynamical systems; Physics; Robust stability; Stability analysis; Symmetric matrices; Uncertainty; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics, Control and Instrumentation, 1994. IECON '94., 20th International Conference on

Conference_Location

Bologna

Print_ISBN

0-7803-1328-3

Type

conf

DOI

10.1109/IECON.1994.398107

Filename

398107