Dynamic Exponent-based Electronics

| In this paper dynamic exponent-based electronics is introduced as a good candidate for overcoming some of the limitations of classic linear-based electronics. However, the use of the exponential relation as a primitive for the synthesis of electronic circuits implies that we have to deal with analysis and synthesis of dynamic nonlinear circuits. The linear time-varying approximation appears to be an accurate and convenient description to this aim. We show how this approximation can be used to calculate the time-varying eigenvalues of a nonlinear circuit and how these can be used to determine stability by means of Lyapunov and Flo-quet exponents. We elucidate these concepts by an example of a simple class-B stage, of which we calculate the time-varying eigenvalues and the Floquet exponents. We show that for nonlinear circuits the time-varying eigenvalues, which determine stability , no longer coincide with poles appearing in frequency-space transfer functions, as was the case for linear systems.