Topological equivalence canonical forms for linear multivariable systems without control

2022/06/22 by Jing Li, Li, Jing, Zhang, Zhixiong
Engineering · Physics and Astronomy · #Advanced Control Systems Optimization #FOS: Mathematics #Optimization and Control (math.OC) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2206.10841

openalex publication_date 2022/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss the classification problem for linear time-invariant multivariable systems without control. It turns out that the observability and stability are invariant for topological equivalent systems. Abstract results concerning system decomposition according to eigenvalues and observability are obtained. Finally, as concrete examples, the topological equivalence canonical forms for a three dimensional system equipped with a scalar observation are presented explicitly.

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