EXACT UNIDIRECTIONAL PERTURBATION BOUNDS FOR ROBUSTNESS OF UNCERTAIN GENERALIZED STATE-SPACE SYSTEMS - CONTINUOUS-TIME CASES

The robustness of continuous-time generalized state-space systems with unidirectional perturbations is investigated in this paper. By transf orming the original problem to a robust rank problem, we provide a sim ple method to compute the exact bounds on such perturbations so that t he important features of regularity, impulse immunity, and stability o f nominal systems are all presented. This approach can be viewed as a generalization of Fu and Barmish's result to generalized state-space s etups. It also provides a tractable solution to many practical robustn ess problems. This is clearly explained by a simple circuit example. ( C) 1997 Elsevier Science Ltd.