The dissipativity of a family of linear-quadratic control processes is studied. This problem gives rise to a family of linear Hamiltonian systems, for which controllability is not assumed. As a consequence some systems of the family could be abnormal. Sufficient conditions for the dissipativity of the LQ processes are given.
Nonautonomous Linear-Quadratic Dissipative Control Processes Without Uniform Null Controllability / Johnson, Russell; Novo, Sylvia; Núñez, Carmen; Obaya, Rafael. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - STAMPA. - 29:(2017), pp. 355-383. [10.1007/s10884-015-9495-1]
Nonautonomous Linear-Quadratic Dissipative Control Processes Without Uniform Null Controllability
JOHNSON, RUSSELL ALLAN;
2017
Abstract
The dissipativity of a family of linear-quadratic control processes is studied. This problem gives rise to a family of linear Hamiltonian systems, for which controllability is not assumed. As a consequence some systems of the family could be abnormal. Sufficient conditions for the dissipativity of the LQ processes are given.
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