Controllability and observability of formal perturbed linear time invariant systems

被引：0

作者：

Leila Bouazza

Benjamin Mourllion

Abdenacer Makhlouf

Abderazik Birouche

机构：

[1] Université de Haute-Alsace,

[2] Institut de Recherche en Informatique,undefined

[3] Mathématiques,undefined

[4] Automatique et Signal,undefined

[5] IRIMAS UR 7499,undefined

来源：

International Journal of Dynamics and Control | 2021年 / 9卷

关键词：

Controllability; Observability; Linear time invariant system; Gramian; Formal perturbation; Duality principle; Optimal input energy;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The controllability and the observability problems of formal perturbed linear time invariant systems (FPLTI) are studied in this paper. Thanks to numerous mathematical tools, a new controllability sufficient conditions for the FPLTI systems is derived. The study is presented using formal perturbation based on polynomials. By duality, the robustness of the observability for this kind of perturbed systems is also assured under appropriate conditions. Furthermore, the relationship between the optimal input energy of the formal perturbed system and that of the nominal system is established.

引用

页码：1444 / 1455

页数：11

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