Professional paper

Stability of linear dynamical systems

Bartol Borozan ; Odjel za matematiku, Sveučilište J. J. Strossmayera u Osijeku, Osijek
Zoran Tomljanović ; Odjel za matematiku, Sveučilište J. J. Strossmayera u Osijeku, Osijek

Abstract

Stability is an important concept in applied mathematics which is used in control theory where it plays a fundamental role. In this paper we define basic concepts and show various results concerning stability of linear dynamical systems that are described by a system of ordinary differential equations. More precisely, we study the stability of solutions of differential equations around equilibrium points. This type of stability is also known as Lyapunov stability. Furthermore, we define the distance to an unstable system and describe an algorithm to calculate it approximately. Basic concepts and applications of the algorithm

are illustrated on a several numerical examples.

Keywords

equilibrium point, stability, eigenvalues, linear dynamical system

Hrčak ID:

264156

URI

https://hrcak.srce.hr/264156

Publication date:

18.10.2021.

Article data in other languages: croatian

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