Regions of asymptotic stability of dynamic systems by the combination of Lyapunov techniques and digital simulation

Abstract

The usefulness of the combination of the Lyapunov function technique and digital simulation for the stability analysis of dynamic systems is illustrated in two examples where the region of asymptotic sta bility is estimated by the analytical Lyapunov ap proach and established by a systematic search via digital simulation of the Lyapunov function. The ad vantage of the PACTOLUS simulator, with particular regard to man-to-machine interference, is empha sized.