Stability and stabilization of linear positive systems on time scales

2019/03/09 by ZbigniewBartosiewicz
Computer Science · Mathematics · #93D15 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1903.03849

openalex publication_date 2019/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that a positive linear system on a time scale with a bounded graininess is uniformly exponentially stable if and only if the characteristic polynomial of the matrix defining the system has all its coefficients positive. Then this fact is used to find necessary and sufficient conditions of positive stabilizability of a positive control system on a time scale.

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