Nonlinear Systems: Stability, Dynamics and Control

The topic of nonlinear systems is fundamental to the study of systems engineering. So extensive investigations have been done by both the nonlinear control and nonlinear dynamics communities, but the focus can be very varied -- on controllers design and dynamics analysis, respectively. The last two decades have witnessed the gradual merging of control theory and dynamics analysis, but not yet to the extent of controlling nonlinear dynamics such as bifurcations and chaos. This monograph is an attempt to fill that gap while presenting a rather comprehensive coverage of the nonlinear systems theory in a self-contained and approachable manner.This introductory treatise is written for self-study and, in particular, as an elementary textbook that can be taught in a one-semester course to advanced undergraduates or entrance level graduate curricula focused on nonlinear systems, both on control theory and dynamics analysis.