2017
Том 69
№ 9

All Issues

Optimality conditions in problems of control over systems of impulsive differential equations with nonlocal boundary conditions

Sharifov Ya. A.

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Abstract

We consider the problem of optimal control in which the state of the controlled system is described by impulsive differential equations under nonlocal boundary conditions, which is a natural generalization of the Cauchy problem. Using the principle of contracting mappings, we prove the existence and uniqueness of a solution of a nonlocal boundary-value problem with pulse action with fixed admissible controls. Under certain conditions for the initial data of the problem, we calculate the gradient of a functional and obtain necessary optimality conditions.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 6, pp 958-970.

Citation Example: Sharifov Ya. A. Optimality conditions in problems of control over systems of impulsive differential equations with nonlocal boundary conditions // Ukr. Mat. Zh. - 2012. - 64, № 6. - pp. 836-847.

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