New perturbation bounds for the robust stability of linear state space models

1 December 1986

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

Vol. 25, 751-755
https://doi.org/10.1109/cdc.1986.267455

Abstract

In this paper, the problem of robust stability of linear time-invariant systems in state space models is considered. Explicit bounds on linear time-invariant perturbations which do not destabilize the system are given for both unstructured and structured perturbations. These bounds are superior to those reported in the recent literature in two senses: i) they are less conservative and ii) they can be applied to a more general class of systems and perturbations. The bounds are easy to compute numerically. Several simple examples are given to demonstrate the new bounds and compare them with results previously reported.

Keywords

ROBUST STABILITY
STATE-SPACE METHODS
SYMMETRIC MATRICES
EIGENVALUES AND EIGENFUNCTIONS
EQUATIONS
FREQUENCY DOMAIN ANALYSIS
ROBUSTNESS
ERBIUM
CONTROL SYSTEM SYNTHESIS
ROBUST CONTROL

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