Time-optimal Control of Petrowsky Systems with Infinitely Many Variables and Control-state Constraints

Hussein El-Saify, Mohammed Shehata

Abstract


In this paper, the time-optimal control problem for n × n differential systems of Petrowsky type with infinitely many variables and control-state constraints are considered. For some different cases of the observation, the necessary optimality conditions of optimal control are obtained by using the generalized Dubovitskii-Milyutin Theorem (Theorem 1.8.1, [1]). Key Words: Time-optimal control problem; Petrowsky systems; Dubovitskii-Milyutin method; Canonical approximations; Optimality conditions

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DOI: http://dx.doi.org/10.3968%2Fj.sms.1923845220120201.008

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