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Necessary and sufficient conditions for the existence of a Lyapunov function with “a quadratic form plus an integral term”. (English) Zbl 0855.93062
This paper has two parts. The first one deals with a refinement of the Lyapunov-S-procedure versus the Popov frequency domain inequality approach in absolute stability (semi-infinite sector of the nonlinearity). The second one is a result on equilibrium stability in artificial neural networks.
MSC:
93D10Popov-type stability of feedback systems
34D99Stability theory of ODE