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Original Articles

Stability robustness measures of state-space models

Pages 1867-1884 | Received 16 Apr 1990, Published online: 29 Oct 2007
 

Abstract

Stability robustness measures for a perturbed linear system are derived based on state-space models of the system. The system may be a continuous-time or discrete-time system. The perturbations are modelled as additive perturbation matrices. Sufficient conditions for the stability of the perturbed linear system are derived in terms of operator norm inequalities. Maximal unidirectional perturbation bounds for stability of linear systems are also derived.

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