Stability robustness of linear discrete-time systems in the presence of uncertainty

1 July 1989

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 50 (1) , 173-182
https://doi.org/10.1080/00207178908953356

Abstract

The stability robustness problem is considered for nominally stable linear discrete-time systems. Using time-domain analysis methods and Lyapunov theory, bounds on the norms of the time-varying (non-)linear perturbations are given, to maintain the asymptotic stability of these systems in the presence of such perturbations.

Keywords

This publication has 10 references indexed in Scilit:

Deterministic and stochastic robustness measures for discrete systems
IEEE Transactions on Automatic Control, 1988
A historical review of robust control
IEEE Control Systems Magazine, 1987
Robust Stabilization Against Structured Perturbations
Published by Springer Nature ,1987
Matrix Analysis
Published by Cambridge University Press (CUP) ,1985
Time-domain stability robustness measures for linear regulators
Journal of Guidance, Control, and Dynamics, 1985
Robustness of feedback-stabilized systems in the presence of non-linear and random perturbations
International Journal of Control, 1985
Robustness results in linear-quadratic Gaussian based multivariable control designs
IEEE Transactions on Automatic Control, 1981
Robustness of linear quadratic state feedback designs in the presence of system uncertainty
IEEE Transactions on Automatic Control, 1977
Gain and phase margin for multiloop LQG regulators
IEEE Transactions on Automatic Control, 1977
Linear Optimal Control
Journal of Dynamic Systems, Measurement, and Control, 1971