On the decomposition problem of neutral type linear large scale control system in the theory of stabilization(1)

In this paper we choose the symmetric positive definite solutionof Riccati matrix algebraic equation and,construct a positive defini-tequadratic form V-function and,use Lyapunov deco mpositionequivalence method founded by Liu Yong-qing to obtain the condi-tions of the asymptotic stability of the solution of neutral typelinear large scale control system,the estimate formula of thedecom posing coefficients and time delay are also given.

In this paper we choose the symmetric positive definite solutioa of Riccati matrix algebraic equation and, construct a positive definite quadratic form V-functiOn and, use Lyapunov decomposition equivalence method founded by Liu Yong-qing to obtain the conditions of the asymptotic stability of the solution of neutral type linear la'rge scale control system, the estimate formula of the decom posing coefficients and time delay are also given.