Relaxing constrained control systems

• Autorzy: Frankowska H. , Rampazzo F.
• Języki publikacji: EN

Abstrakty

EN

In this paper we provide a relaxation result for control systems under both equality and inequality constraints involving the state and the control. In particular we show that the Mangasarian-Fromowitz constraint qualification allows to rewrite constrained systems as differential inclusions with locally Lipschitz right-hand side. Then Filippov-Ważewski relaxation theorem may be applied to show that ordinary solutions are dense in the set of relaxed solutions. If, besided agreeing with the above constraints, the state has to remain in a control-independent set K, then we provide a condition on the feasible velocities on the boundary of K to get a relaxation theorem.

Słowa kluczowe

EN

differential inclusion; relaxed control; state constraints; value function

PL

funkcje wartości; nierówności różniczkowe; ograniczenia stanu; relaksacja kontrolna; równania różniczkowe zwyczajne; systemy kontrolne relaksujące z ograniczeniami

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no. 1
• Strony: 70--81
• Opis fizyczny: Bibliogr. 13 poz.,

Twórcy

autor

Frankowska H.

• CNRS and Universite de Paris-Dauphine, 75775 Paris CX 16, France

autor

Rampazzo F.

• Dipartimento Di Matematica Puka E Applicata, Universita Di Padova, Via Belzoni 7, 35131 Padova, Italy

Bibliografia

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