The extension of the Lyapunov theory to analysis and control of nonlinear circuits

Nonlinear analysis and design become necessary ingredients whenever one needs to successfully attain a reasonable spectrum of analysis and design objectives as benchmarks for reference. Nonlinear control theory accomplishes the evolution from the traditional linear viewpoints to the extremely important and urgent nonlinear perspective in order to explicitly account all essential effects, phenomena, and features, as well as to initiate and fulfil relevant performance adjustments. The most efficient analytical avenue to attack nonlinear analysis and design, yet derived, is the Lyapunov stability theory. This paper reports novel results in nonlinear analysis and control with particular application to nonlinear electric circuits and devices.