Control theory for fractional differential Sylvester matrix equations with Caputo fractional derivative

被引:1
|
作者
Sadek, Lakhlifa [1 ]
机构
[1] Abdelmalek Essaadi Univ, Fac Sci & Technol, Dept Math, BP 34, Tetouan 32003, Morocco
关键词
Caputo fractional derivative; controllability; observability; fractional differential Sylvester matrix equation; Kronecker product; vector operator; STABILITY; SYSTEM; CONTROLLABILITY; OBSERVABILITY;
D O I
10.1177/10775463241246430
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this manuscript, we introduce the concept of first-time controllability and observability concerning fractional differential Sylvester matrix equations employing the Caputo fractional derivative. Our work establishes necessary and sufficient conditions for controllability and observability, wherein controllability equates to having a controllability matrix with full rank and observability aligns with an observability Gramian matrix that is nonsingular. Furthermore, we provide several theorems addressing the observability of fractional differential Sylvester matrix equations. Finally, we offer two illustrative examples to demonstrate the efficacy and application of our established results.
引用
收藏
页数:17
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