Abstract
Perturbation and robust exponential stability of the time varying singular distributed parameter system are discussed via functional analysis and operator theory in Hilbert space. The perturbation principle of generalized evolution operators and the sufficient condition concerning the robust exponential stability of the time varying singular distributed parameter system are obtained, in which the exponential stability for the time varying singular distributed parameter system is not destroyed, if we perturb the equation by linear operator. The perturbation are assumed to have unbounded structure and the smallest perturbation which destroys exponential stability is determined.
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