The Dynamics of Control (Systems & Control: Foundations & Applications)

"The Dynamics of Control" provides a carefully integrated development of the mathematical connections between nonlinear control, dynamical systems and time-varying perturbed systems for scientists and engineers. The central theme is the notion of control flow with its global dynamics and linearization presented in detail. The book's scope is comprehensive and includes global theory of dynamical systems under time-varying perturbations, global and local dynamics of control systems, connections between control systems and dynamical systems and the relevant numerical methods for global dynamics, linearization and stability. Topics are developed with a diverse and rich selection of applied problems from control and dynamical systems. Thie includess applications such as: continuous flow stirred tank reactors, bacterial respiration, nonlinear oscillators, ship rolling, the Lorenz system and unfolding of bifurcation models. Topics and features: *complete coverage of unified theory of flow control *wide array of motivating problems from control and dynamical systems to appeal to mathematicians, scientists and engineers *each chapter begins with a section giving relevant motivation and listing all important definitions and results *four appendices compile essential background information: nonlinear geometric control, topological theory of dynamical systems, computations of reachable sets and numerical solution of Hamilton- Jacobi-Bellman equations *coverage of numerical methods for global dynamics, linearization and stability topics This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All