Stabilization and FLQ-optimal control of conformable positive linear systems

被引：1
作者：
Ennouari, Toufik [1 ]
机构：
[1] Chouaib Doukkali Univ, Fac Sci, Dept Math, El Jadida 24000, Morocco
来源：
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2024年 / 17卷 / 04期
关键词：
positive system; conformable derivative; stabilization; fractional linear quadratic (FLQ) problem; MODELS;
D O I：
10.32513/asetmj/1932200824046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The positive stabilization problem for a class of fractional conformable linear systems in which the state takes non-negative values when the initial conditions are non-negative is addressed in this paper. Furthermore, the finite-horizon linear quadratic optimal control problem with non-negative state constraints (FLQ+) is studied for continuous-time positive linear fractional systems. Necessary and sufficient conditions are proven so that the FLQ-optimal control given by the standard fractional linear quadratic problem is also optimal for FLQ+. Then, sufficient conditions are established for the positivity of the FLQ-optimal closed-loop system.
引用
收藏
页码：169 / 180
页数：12
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