Robust stabilization of nonlinear large-scale time varying systems

The robust stabilization problem of a kind of uncertain nonlinear time-varying large-scale control systems is considered. The time-varying coefficients of linear system herein may not be known precisely, but the lower bounds and the upper bounds are known precisely, but the lower bounds and the upper bounds are known constants. By using the method of weighted sum type of Lyapunov functions, the stability of high-dimensional uncertain nonlinear large-scale time-varying control systems is reduced to distinguish some signs of low-dimensional constant determinants, and the boundary regions of interconnecting parameters for robust stabilization is derived. An example is given to show the optimization method of boundary regions of interconnecting parameter for the robust stabilization on second-order system.