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math.OC2019
On the Duality Theory for Problems with Higher Order Differential Inclusions
Elimhan N. Mahmudov
This paper on the whole concerns with the duality of Mayer problem for k-th order differential inclusions, where k is an arbitrary natural number. Thus, this work for constructing…
math.OC2019
Infimal Convolution and Duality in Convex Optimal Control Problems with Second Order Evolution Differential Inclusions
Elimhan N. Mahmudov
The paper deals with the optimal control problem described by second order evolution differential inclusions; to this end first we use an auxiliary problem with second order discre…
math.OC2019
Observability and Controllability of Second Order Linear Time Invariant Systems and Kalman Type Conditions
Elimhan N. Mahmudov
In the present paper we consider controllability and observability of second order linear time invariant systems in matrix form. Without reducing into first order systems we show h…