Applications to finite-dimensional dynamical systems

Abstract

We apply the results developed in Chapters 6 and 7 in the qualitative analysis of several important classes of continuous dynamical systems, discrete-time dynamical systems, and discontinuous dynamical systems. We address six specific classes of systems: nonlinear regulator systems; analog Hopfield neural networks and synchronous discrete-time Hopfield neural networks; digital control systems; pulse-width modulated feedback control systems; systems with saturation nonlinearities with an application to digital filters; and linear and nonlinear Hamiltonian systems subjected to persistent and intermittent dissipation.