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Quadratic Optimal control of linear systems with time-varying input delay

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3 Author(s)
Carravetta, F. ; Ist. `A. Ruberti'' di Analisi dei Sist. ed Inf. (IASI), Consiglio Naz. delle Ric., Rome, Italy ; Palumbo, P. ; Pepe, P.

In this paper the optimal control problem for linear time-varying systems with delay in the control input is investigated, in the time-continuous framework. This note aims to propose a different functional approach, whose versatility could result successful in applying it to the case of time-varying delays. The optimal solution at the current time t is proven to be a feedback from the state of the system at time t, provided that a Riccati-like integral differential equation admits solutions.

Published in:

Decision and Control (CDC), 2010 49th IEEE Conference on

Date of Conference:

15-17 Dec. 2010