Continuous time non-smooth optimization through quasi efficiency

Promila Kumar; Bharti Sharma

doi:10.2478/candc-2023-0038

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Continuous time non-smooth optimization through quasi efficiency

Control and Cybernetics

Volume 52 (2023): Issue 3 (September 2023)

By: Promila Kumar and Bharti Sharma

Open Access

|Sep 2024

Abstract

The importance of quasi efficiency lies in its versatile nature as it permits a definite tolerable error that depend on the decision variables. This has been a motivating factor for us to introduce the notion of quasi e cient solution for the non-smooth multiobjective continuous time programming problem. Necessary optimality conditions are derived for this problem. To derive sufficient optimality conditions, the concept of approximate convexity has been extended to continuous case in this paper. A mixed dual is proposed for which weak and strong duality results are proved.

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Articles in this issue

DOI: https://doi.org/10.2478/candc-2023-0038 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569

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Language: English

Page range: 251 - 267

Submitted on: May 1, 2023

Accepted on: Mar 1, 2024

Published on: Sep 5, 2024

Published by: Systems Research Institute Polish Academy of Sciences

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

continuous time problem,

quasi efficiency,

approximate convexity,

optimality conditions,

duality

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2024 Promila Kumar, Bharti Sharma, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 52 (2023): Issue 3 (September 2023)