Optimality Conditions for Minimization Problem of Piecewise-Linear Functional in Optimization of the Oscillation Processes

Year 2025, Volume: 13 Issue: 2, 109 - 114, 29.12.2025

Elmira Abdyldaeva , Omurbek Kalmamanov

https://doi.org/10.51354/mjen.1666050

Abstract

In the article, the minimization problem is investigated of piecewise linear functional in non-linear optimization of oscillation processes described by Fredholm integro-differential equations. An algorithm has been developed for constructing a generalized solution to boundary value problem that describes the oscillation process. Using the maximum principle for systems with distributed parameters, optimality conditions are determined in the form of equality and inequality.

Keywords

Optimal control , optimal process , piecewise linear functional , generalized solution , maximum principle , optimality condition

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