Optimality conditions for asymptotically stable control systems

We consider an infinite horizon optimal impulsive control problems for which aperformance criteria is minimized by choosing asymptotically stable control strategies. Wepresent necessary optimality conditions in the form of a maximum principle and show howthey can be derived from an auxiliary convent...

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Bibliographic Details
Main Author: Fernando Lobo Pereira (author)
Other Authors: Geraldo Nunes Silva (author)
Format: book
Language:eng
Published: 2007
Subjects:
Online Access:https://repositorio-aberto.up.pt/handle/10216/71626
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/71626
Description
Summary:We consider an infinite horizon optimal impulsive control problems for which aperformance criteria is minimized by choosing asymptotically stable control strategies. Wepresent necessary optimality conditions in the form of a maximum principle and show howthey can be derived from an auxiliary conventional (nonimpulsive) optimal control problem.As far as we know, results of this kind have not been previously derived for problems withtrajectories restricted to the set of stabilizing ones.