Robust Absolute Stabilization for Uncertain Nonlinear Interconnection Systems with Time-varying Delays

The problem of robustly and absolutely stable control for uncertain nonlinear interconnection systems with state and input-time-varying delay is studied in terms of integral inequality.Linear memoryless state-feedback control law is derived for two classes of uncertain nonlinear interconnection systems with sector restriction or norm-bounded restriction based on Linear Matrix Inequality(LMI).This method doesn't require that two input terms are absolutely controllable for nonlinear delay systems.Numerical examples are used to demonstrate the validity of the proposed method.