Estimation of switched system given by set of nonlinear control systems

We investigate a special case of switched system which are described by a set of nonlinear control systems with nonlinearity of sector type. Using Lyapunov function method we obtain the estimations of switched system solution at the final time moment depending of initial state of solution. The subsystems can be stable or unstable. We investigate using Lyapunov function of Lurje-Postnikov type [5], [9] and final estimation we obtain by composition of perturbations of the separate subsystems of initial switched system on the whole interval considered.