On linear-quadratic dissipative control processes with time-varying coefficients

Roberta Fabbri; Russell Johnson; Sylvia Novo; Carmen Núñez

doi:10.3934/dcds.2013.33.193

Article Contents

2013, Volume 33, Issue 1: 193-210. Doi: 10.3934/dcds.2013.33.193

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On linear-quadratic dissipative control processes with time-varying coefficients

1.
Dipartimento di Sistemi e Informatica, Università di Firenze, Via di Santa Marta 3, 50139 Firenze
2.
Dipartimento di Sistemi e Informatica, Università di Firenze, Facolta' di Ingegneria, Via di Santa Marta 3, 50139 Firenze
3.
Departamento de Matemática Aplicada, E. Ingenierías Industriales, Universidad de Valladolid, Paseo del Cauce 59, 47011 Valladolid

Received: August 2011

Revised: January 2012

Published: January 2013

Abstract / Introduction Related Papers Cited by

Abstract

Yakubovich, Fradkov, Hill and Proskurnikov have used the Yaku-bovich Frequency Theorem to prove that a strictly dissipative linear-quadratic control process with periodic coefficients admits a storage function, and various related results. We extend their analysis to the case when the coefficients are bounded uniformly continuous functions.

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Mathematics Subject Classification: 37B55, 93D20, 34D20.

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