The Interpretation Uncertain Bound for the Uncertain Linear Systems via Lyapunov Equations

Lyapunov 방정식을 이용한 불확실한 선형 시스템의 섭동 유계 해석

In this paper, we use Lyapunov equations and functions to consider the linear systems with perturbed system matrices. And we consider that what choice of Lyapunov function V would allow the largest perturbation and still guarantee that V is negative definite. We find that this is determined by testing for the existence of solutions to a related quadratic equation with matrix coefficients and unknowns the so-called matrix Riccati equation.