Distributed Parameter Systems: Theory and Applications (Oxford Mathematical Monographs)

Many problems in control and systems theory are formulated in terms of partial differential equations and these are known as distributed parameter systems. This book aims to present the major aspects of the control, estimation and identification of distributed parameter sytems. The book was written for all those applied mathematicians, control theorists and engineers whose work involves such systems and the authors have tried to present a comprehensive account of the essential results in both deterministic and stochastic systems. Part one develops the mathematical theory of distributed parameter systems. The results of the theory of deterministic and stochastic partial differential equations are developed and then applied to the optimal control and estimation theories for the distributed parameter systems. Controllability and observability problems are also discussed. Part two contains applications of the theory to engineering problems. The optimal sensor and actuator location problems are discussed from the engineering viewpoint. There then follows a treatment of computational techniques for the identification of distributed parameter systems. The book is intended for applied mathematicians, control theorists and engineers interested in distributed parameter systems.