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

Cho, Do-Hyeoun (Dept. of Digital Electronics & Information Inha Tech. Col.)
Lee, Sang-Hun (Division of General Education, Kwang-woon University)
Lee, Jong-Yong (Division of General Education, Kwang-woon University)
Publication Information
전자공학회논문지 IE / v.44, no.4, 2007 , pp. 26-29 More about this Journal
Abstract
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 matrix Riccati equation.
Keywords
Matrix uncertainty; Perturbations; Lyapunov Equations; Riccati Equations;
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