Controllability of infinite-dimensional conformable linear and semilinear systems

被引：4
|
作者：
Ennouari, Toufik [1 ]
Abouzaid, Bouchra [2 ]
Achhab, Mohammed Elarbi [1 ]
机构：
[1] Chouaib Doukkali Univ, Fac Sci, Dept Math, LSD, El Jadida 24000, Morocco
[2] Chouaib Doukkali Univ, Labsipe, ENSAJ, El Jadida 24000, Morocco
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2023年 / 11卷 / 03期
关键词：
Fractional semigroups; Conformable fractional systems; Exact conformable controllability; Approximate conformable controllability; APPROXIMATE CONTROLLABILITY; STABILITY ANALYSIS; OPIAL-TYPE; INEQUALITIES; MODELS;
D O I：
10.1007/s40435-022-01055-8
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The current paper discusses the controllability of systems governed by infinite-dimensional linear and semilinear conformable differential equations. By stating conformable controllability map, we provide necessary and sufficient conditions of the exact and approximative controllability for the conformable fractional linear system. Using Schauder's fixed point theorem and assuming that the associated linear system is approximately controllable, we derive a sufficient condition for the approximate controllability of conformable semilinear systems. Finally, some examples are given to illustrate our theoretical results.
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页码：1265 / 1275
页数：11
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