Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems. II (Q1089297)

[For part I see Avtom. Telemekh. 1986, No.3, 63-73 (1986; Zbl 0607.93039); translation in Autom. Remote Control 47, 344-354 (1986)]. The authors find a class of Lyapunov functions which are forms of even power that specify the absolute stability of a system. These forms can be repesented by a sum of corresponding powers of homogeneous linear forms. An example of a second-order non-linear system is given for which a Lyapunov function is constructed that specifies the complete region of absolute stability of this system with respect to a parameter that specifies the class of nonlinearities.