Abstract: We give a criterion for equiasymptotic stability in the whole of a class of holomorphic semigroup systems with nonlinear boundary feedback, under a frequency domain condition. The Lyapunov function for the closed loop is obtained via an arbitrary solution to the dissipation inequality arising in quadratic regulator problems with indefinite cost functional.
Frequency domain stability of nonlinear feedback systems with unbounded input operator / F. Bucci. - In: DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS. - ISSN 1201-3390. - STAMPA. - 7:(2000), pp. 351-368.
Frequency domain stability of nonlinear feedback systems with unbounded input operator
BUCCI, FRANCESCA
2000
Abstract
Abstract: We give a criterion for equiasymptotic stability in the whole of a class of holomorphic semigroup systems with nonlinear boundary feedback, under a frequency domain condition. The Lyapunov function for the closed loop is obtained via an arbitrary solution to the dissipation inequality arising in quadratic regulator problems with indefinite cost functional.
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