Title :
Lyapunov stability robustness of perturbed linear systems
Author_Institution :
Fac. of Applied Phys., Delft Univ. of Technol., Netherlands
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;
Conference_Titel :
Industrial Electronics, Control and Instrumentation, 1994. IECON '94., 20th International Conference on
Conference_Location :
Bologna
Print_ISBN :
0-7803-1328-3
DOI :
10.1109/IECON.1994.398107
