Stability linear system with positive matrices

Abstract

Stability linear system with positive matrices

Uryvskaya T.Yu.

Incoming article date: 07.11.2017

This paper researches a linear system with symmetric matrix A, positive semidefinite, and positive. Using Lyapunov Equation, determine if a system is stable. The obtained theoretical data are illustrated by example.  Also considered the uniform distribution of the 5 agents in the plane. In the equation there are external disturbances. Constructed Lyapunov function.

Keywords: positive matrix, linear systems, stability, Lyapunov Equation, attractive parallelepiped