Stability studies of dynamical systems using the non-Lure type Lyapunov function

This paper applies the direct method of Lyapunov to stability analysis of the dynamical system with multiple nonlinearities. The essential feature of the Lyapunov function used in this paper is the nonLure type Lyapunov function which surpasses the Lure type Lyapunov function from the point of view of the stability region guaranteed. A modified version of the multivariable Popov criterion is used to construct nonLure type Lyapunov function, which allows for the dynamical systems with multiple nonlinearities. >