Geodesic
Properties of the controllability set of one class of differential inclusions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2024), pp. 74-81 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider a mathematical model of control system in the form differential inclusion. The problem of controllability of this system under the condition of mobility of the terminal set $M=M(t)$ is researched. For this model of a dynamic system we define a notion of the $M$-controllability set. Using the methods of the theory of differential inclusions and multi-valued maps, the structural and topological properties of the $M$-controllability set are studied.
Keywords: dynamic system, differential inclusion, control problem, terminal set, controllability set. 
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B. Sh. Rahimov. Properties of the controllability set of one class of differential inclusions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2024), pp. 74-81. http://geodesic.mathdoc.fr/item/IVM_2024_9_a6/

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