In recent years significant applications of systems and control theory have been witnessed in diversed areas such as physical sciences, social sciences, engineering, management and finance. In particular the most interesting applications have taken place in areas such as aerospace, buildings and space structure, suspension bridges, artificial heart, chemotherapy, power system, hydrodynamics and computer communication networks. There are many prominent areas of systems and control theory that include systems governed by linear and nonlinear ordinary differential equations, systems governed by partial differential equations including their stochastic counter parts and, above all, systems governed by abstract differential and functional differential equations and inclusions on Banach spaces, including their stochastic counterparts. The objective of this book is to present a small segment of theory and applications of systems and control governed by ordinary differential equations and inclusions. It is expected that any reader who has absorbed the materials presented here would have no difficulty to reach the core of current research.

Contents:

• Basic Mathematical Background
• Linear Systems
• Nonlinear Systems
• Basic Stability Theory
• Observability and Identification
• Controllability and Stabilizability
• Basic Calculus of Variations
• Optimal Control: Necessary Conditions and Existence
• Linear Quadratic Regulator Theory
• Time Optimal Control
• Stochastic Systems with Applications

“The material is well written … All in all, the material on differential equations and control theory is quite standard; readers who wish, however, to study these topics in conjunction with impulse phenomena driven by measure right-hand side, will find the text very useful.”