What question did this study set out to answer?

The aim is to derive second-order necessary optimality conditions for a specific class of optimal control problems.

March 19, 2026Computational Mathematics and Mathematical Physics0 citations

Second-Order Necessary Optimality Conditions in a Multistep Control Problem with Volterra-Type Integro-Differential Equations

KMK. B. MansimovBaku State University AMA. F. MansimzadeBaku State University

Key Points

The aim is to derive second-order necessary optimality conditions for a specific class of optimal control problems.
Consideration of a two-stage optimal control problem.
Analysis of Volterra-type integro-differential equations.
Application of general Bolza-type functional.
Examination of open control domains.
Established necessary conditions for optimality during control.
Conditions outlined for two different systems across specified time intervals.

Abstract

The paper considers a two-stage optimal control problem described on two different given time intervals by two different systems of Volterra-type integro-differential equations and a general Bolza-type functional under the assumption of open control domains. Second-order necessary optimality conditions are established.

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