This book presents a modern and self-contained treatment of the Liapunov method for
stability analysis, in the framework of mathematical nonlinear control theory. A Particular …

Learn how to implement BCU methods for fast direct stability assessments of electric power
systems Electric power providers around the world rely on stability analysis programs to help …

In this paper, stability analysis of traffic control for two-region urban cities is treated. It is
known in control theory that optimality does not imply stability. If the optimal control is …

Polynomial extremal problems (PEP) constitute one of the most important subclasses of
nonlinear programming models. Their distinctive feature is that an objective function and …

We suggest a new line of research that we hope will appeal to the nonlinear dynamics
community, especially the readers of this Focus Issue. Consider a network of identical …

We propose using (bilinear) sum-of-squares programming for obtaining inner bounds of
RoAs for dynamical systems with polynomial vector fields. We search for polynomial as well …

The problem of computing bounds on the region-of-attraction for systems with polynomial
vector fields is considered. Invariant subsets of the region-of-attraction are characterized as …

This authoritative treatment covers theory, optimal estimation and a range of practical
applications. The first book on the subject, and written by leading researchers, this clear and …

Every system of the form x ̇= f (x, u), y= g (x, u), where f and g are rational functions of the
state x and linear functions of the input u, possesses a linear-fractional representation (LFR) …

Hybrid synchronization is one of the most significant aspects of a dynamic system. We
achieve nonlinear control unit results to synchronize two comparable 7D structures in this …