Numerical methods of designing lyapunov functions and absolute stability criteria as numerical procedures

The minimax approach to nonlinear systems is employed in numerical design of the Lyapunov function in the parametric class of functions. For nonlinear control systems a numerical method for design of Lyapunov functions is developed in the class of quadratic forms with addition of integrals of stationary nonlinearities. The method leads to absolute stability criteria as numerical procedures. An algorithm is developed for numerical design of absolute stability and absolute instability regions.