On the сontrollability, observability, and optimization of discrete nonstationary linear Volterra systems-Reference-Cited by-同舟云学术

On the сontrollability, observability, and optimization of discrete nonstationary linear Volterra systems

Published:2023-10-03 Issue:3 Volume:59 Page:213-223
ISSN:2524-2415
Container-title:Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series
language:
Short-container-title:Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk

Author:

Astrovskii A. I.¹,Goryachkin V. V.²,Dymkov M. P.¹

Affiliation:

1. Belarusian State Economic University

2. Belarusian State University

Abstract

In this article, we study discrete nonstationary linear dynamic systems of Volterra type. An essential feature of such kind of systems is that their current states depend on the previous states of this system. The formula Cauchy, which gives us the solution of linear Volterra systems with the control inputs, is obtained. The necessary and sufficient conditions of the pointwise controllability, pointwise output controllability, and observability are proven. Also the linear-quadratic optimization problem for the nonstationary Volterra control systems is studied.

Publisher

Publishing House Belorusskaya Nauka

Subject

Computational Theory and Mathematics,General Physics and Astronomy,General Mathematics

Reference23 articles.

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