Controllability of Impulsive Neutral Fractional Stochastic Systems
The study of dynamic systems appears in various aspects of dynamical structures such as decomposition, decoupling, observability, and controllability. In the present research, we study the controllability of fractional stochastic systems (FSF) and examine the Poisson jumps in finite dimensional spac...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/12/2612 |
| _version_ | 1797455146758701056 |
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| author | Qura Tul Ain Muhammad Nadeem Ali Akgül Manuel De la Sen |
| author_facet | Qura Tul Ain Muhammad Nadeem Ali Akgül Manuel De la Sen |
| author_sort | Qura Tul Ain |
| collection | DOAJ |
| description | The study of dynamic systems appears in various aspects of dynamical structures such as decomposition, decoupling, observability, and controllability. In the present research, we study the controllability of fractional stochastic systems (FSF) and examine the Poisson jumps in finite dimensional space where the fractional impulsive neutral stochastic system is controllable. Sufficient conditions are demonstrated with the aid of fixed point theory. The Mittag-Leffler (ML) matrix function defines the controllability of the Grammian matrix (GM). The relation to symmetry is clear since the controllability Grammian is a hermitian matrix (since the integrand in its definition is hermitian) and this is the complex version of a symmetric matrix. In fact, such a Grammian becomes a symmetric matrix in the specific scenario where the controllability Grammian is a real matrix. Some examples are provided to demonstrate the feasibility of the present theory. |
| first_indexed | 2024-03-09T15:47:20Z |
| format | Article |
| id | doaj.art-0b0b79f90b3c41198f679b41eb18cb4f |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T15:47:20Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-0b0b79f90b3c41198f679b41eb18cb4f2023-11-24T18:20:03ZengMDPI AGSymmetry2073-89942022-12-011412261210.3390/sym14122612Controllability of Impulsive Neutral Fractional Stochastic SystemsQura Tul Ain0Muhammad Nadeem1Ali Akgül2Manuel De la Sen3Department of Mathematics, Guizhou University, Guizhou 550025, ChinaSchool of Mathematics and Statistics, Qujing Normal University, Qujing 655011, ChinaDepartment of Computer Science and Mathematics, Lebanese American University, Beirut 1102 2801, LebanonDepartment of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science, Technology University of the Basque Country, 48940 Leioa, SpainThe study of dynamic systems appears in various aspects of dynamical structures such as decomposition, decoupling, observability, and controllability. In the present research, we study the controllability of fractional stochastic systems (FSF) and examine the Poisson jumps in finite dimensional space where the fractional impulsive neutral stochastic system is controllable. Sufficient conditions are demonstrated with the aid of fixed point theory. The Mittag-Leffler (ML) matrix function defines the controllability of the Grammian matrix (GM). The relation to symmetry is clear since the controllability Grammian is a hermitian matrix (since the integrand in its definition is hermitian) and this is the complex version of a symmetric matrix. In fact, such a Grammian becomes a symmetric matrix in the specific scenario where the controllability Grammian is a real matrix. Some examples are provided to demonstrate the feasibility of the present theory.https://www.mdpi.com/2073-8994/14/12/2612fractional calculuscontrollabilityimpulsive effectstochastic calculus |
| spellingShingle | Qura Tul Ain Muhammad Nadeem Ali Akgül Manuel De la Sen Controllability of Impulsive Neutral Fractional Stochastic Systems Symmetry fractional calculus controllability impulsive effect stochastic calculus |
| title | Controllability of Impulsive Neutral Fractional Stochastic Systems |
| title_full | Controllability of Impulsive Neutral Fractional Stochastic Systems |
| title_fullStr | Controllability of Impulsive Neutral Fractional Stochastic Systems |
| title_full_unstemmed | Controllability of Impulsive Neutral Fractional Stochastic Systems |
| title_short | Controllability of Impulsive Neutral Fractional Stochastic Systems |
| title_sort | controllability of impulsive neutral fractional stochastic systems |
| topic | fractional calculus controllability impulsive effect stochastic calculus |
| url | https://www.mdpi.com/2073-8994/14/12/2612 |
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