Stability robustness bounds for linear systems with delayed perturbations

1 July 1995

journal article
Published by Institution of Engineering and Technology (IET) in IEE Proceedings - Control Theory and Applications

Vol. 142 (4) , 345-350
https://doi.org/10.1049/ip-cta:19951963

Abstract

The paper presents sufficient conditions for delay-independent asymptotic stability for linear systems with multiple time-varying delayed perturbations. It demonstrates that judicious selection of Lyapunov functionals leads to improved bounds on allowed perturbations. It is shown that the bounds obtained for delayed perturbations are better than those derived in the literature for nondelayed perturbations. Numerical examples are given to illustrate the results.

Keywords

SUFFICIENT CONDITIONS
STABILITY ROBUSTNESS BOUNDS
LYAPUNOV FUNCTIONALS
LINEAR SYSTEMS
MULTIPLE TIME-VARYING DELAYED PERTURBATIONS
DELAY-INDEPENDENT ASYMPTOTIC STABILITY

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