Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions

• Autorzy: Cabada Dalia , Garcia Katherine , Guevara Cristi , Leiva Hugo

Identyfikatory

DOI

10.24425/acs.2022.141715

• Języki publikacji: EN

Abstrakty

EN

In this paper we prove the exact controllability of a time varying semilinear system considering non-instantaneous impulses, delay, and nonlocal conditions occurring simultaneously. It is done by using the Rothe’s fixed point theorem together with some sub-linear conditions on the nonlinear term, the impulsive functions, and the function describing the nonlocal conditions. Furthermore, a control steering the semilinear system from an initial state to a final state is exhibited.

Słowa kluczowe

EN

exact controllability; semilinear time varying control systems; non-instantaneous impulses; delay; nonlocal conditions; Rothe's fixed point theorem

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2022
• Tom: Vol. 32, No. 2
• Strony: 335--357
• Opis fizyczny: Bibliogr. 33 poz., rys., wzory

Twórcy

autor

Cabada Dalia

• School of Mathematical and Statistical Sciences, Arizona State University, United States of America

autor

Garcia Katherine

• School of Mathematical Sciences and Information Technology, Yachay Tech University, Ecuador

autor

Guevara Cristi

• Arizona Department of Education, United States of America

autor

Leiva Hugo

• School of Mathematical Sciences and Information Technology, Yachay Tech University, Ecuador

• https://orcid.org/0000-0002-3521-6253

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)