Adaptive control for a class of interconnected time-varying delays system

This paper considers the adaptive control problem for a class of large-scale systems with time-varying delays in interconnections. The nonlinear uncertainties of the systems under study are bounded by polynomial functions with unknown gains. On the basis of constructing a set of Lyapunov - Krasovskii functionals, new sufficient conditions for the existence of the corresponding adaptive control and state feedback controller are established in terms of linear matrix inequalities. Finally, an illustrative example is given to show the validity of the proposed approach.