Stability of perturbed linear distributed parameter systems


Pandolfi, L. and Zwart, H. (1991) Stability of perturbed linear distributed parameter systems. Systems & Control Letters, 17 (4). pp. 257-264. ISSN 0167-6911

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Abstract:We present an estimate for a class of unbounded perturbations of the generator of an exponentially stable semigroup. When this estimate is satisfied then the perturbed operator still generates an exponentially stable semigroup. For generators of holomorhic semigroups the class of allowed perturbations contains unbounded operators of the form HA¿, with . The estimate is given in terms of the norm of the solution of the Lyapunov equation which corresponds to the unperturbed system.
Item Type:Article
Copyright:© 1991 Elsevier Science
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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