A new method for the approximation of certain non-linear systems-Reference-Cited by-同舟云学术

A new method for the approximation of certain non-linear systems

Published:2024-07-01 Issue:1 Volume:31 Page:1-12
ISSN:1788-800X
Container-title:Pure Mathematics and Applications
language:en
Short-container-title:

Author:

Molnár Sándor¹,Molnár Márk²

Affiliation:

1. Systems and Control Lab , HUN-REN SZTAKI , Budapest , Hungary

2. Department of Comparative Economics, Faculty of Economics and Business Management , Eötvös Loránd University , Hungary

Abstract

Abstract A common problem in systems and control theory is to provide an approximation to non-linear systems. We provide a novel approach as a general solution to this problem originally conceived by Gamkrelidze. We consider and solve a general approximation problem which provides the fundamentals for various switching-type systems thus encompassing a wide range of systems theory problems.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/puma-2023-0001

Reference9 articles.

1. Molnár S., Szigeti F.: “On “Verticum”-Type Linear Systems with Time-Dependent Linkage”, Applied Mathematics and Computation, Vol. 60., pp. 89-102., 1994.

2. Molnár S.: A Special Decomposition of Linear Systems, Belgian Journal of Operations Research, Statistics and Computer Science, Vol. 29. No. 4, pp. 1-19, 1989.

3. Gamkrelidze, R.V.: Principles of optimal control theory. (Mathematical concepts and methods in science and engineering) Translation of Osnovy optimal’nogo upravleniia. Based on lectures presented in 1974 at Tbilisi State University., Plenum Press, New York, 1978.

4. Sira-Ramírez, H.: Sliding Mode Control, Birkhauser Verlag Gmbh, p. 258, 2015.

5. Sira-Ramírez, H.: Agrawal S.K.: Differentially Flat Systems (Automation and Control Engineering), Marcel Dekker Inc., New York, Basel, p. 450, 2004.