Study of Different Optimization Strategies on Basis of Lyapunov Function

Abstract: The process of analogue circuit optimization is defined mathematically as a controllable dynamical system. In this context the problem of minimizing the CPU time can be formulated as the minimization problem of a transitional process of a dynamical system. To analyse the properties of such a system, we propose to use the concept of the Lyapunov function of a dynamical system. This function allows us to analyse the stability of the optimization trajectories and to predict the CPU time for circuit optimization by analysing the characteristics of the initial part of the process.