Abstract: We study the regularity properties of the value function of a quadratic regulator problem for a linear distributed parameter system with distributed control action. No definiteness assumption on the cost functional is assumed. We study the regularity in time of the value function and also the space regularity in the case of a holomorphic semigroup system.
The value function of the singular quadratic regulator problem with distributed control action / Francesca Bucci; Luciano Pandolfi. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 36:(1998), pp. 115-136. [10.1137/S036301299529536X]
The value function of the singular quadratic regulator problem with distributed control action
Francesca Bucci;
1998
Abstract
Abstract: We study the regularity properties of the value function of a quadratic regulator problem for a linear distributed parameter system with distributed control action. No definiteness assumption on the cost functional is assumed. We study the regularity in time of the value function and also the space regularity in the case of a holomorphic semigroup system.
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