This eagerly awaited follow-up to Nonlinear Control Systems incorporates recent advances in the design of feedback laws, for the purpose of globally stabilizing nonlinear systems via state or output feedback. The author is one of the most prominent researchers in the field.
The purpose of this book is to present a self-contained and coordinated de? scription of several design methods for nonlinear control systems, with special emphasis on the problem of achieving stability, globally or on arbitrarily large domains, in the presence of model uncertainties. The book is intended to be a continuation of my earlier book Nonlinear Control Systems, dealing with the fundamentals of the theory of nonlinear control systems, whose third edition was published in 1995. In this respect, it is written in the form of a second volume of a single work, and uses a numbering system that continues the one adopted in the earlier book, with which the overlap is essentially insignificant. The book is intended as a graduate text as well as a reference to scientists and engineers interested in the design of feedback laws for nonlinear control systems. In the last decade, methods for global stabilization of nonlinear systems have experienced a vigorous growth.10. Stability of Interconnected Nonlinear Systems.- 10.1 Preliminaries.- 10.2 Asymptotic Stability and Small Perturbations.- 10.3 Asymptotic Stability of Cascade-Connected Systems.- 10.4 Input-to-State Stability.- 10.5 Input-to-State Stability of Cascade-Connected Systems.- 10.6 The Small-Gain Theorem for Input-to-State Stable Systems.- 10.7 Dissipative Systems.- 10.8 Stability of Interconnected Dissipative Systems.- 10.9 Dissipative Linear Systems.- 11. Feedback Design for Robust Global Stability.- 11.1 Preliminaries.- 11.2 Stabilization via Partial State Feedback: a Special Case.- 11.3 Stabilization via Output Feedback: a Special Case.- 11.4 Stabilization of Systems in Lower Triangular Form.- 11.5 Design for Multi-l£&