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612-822-4611
Primer on Optimal Control Theory

Primer on Optimal Control Theory

Hardcover

Series: Advances in Design and Control, Book 20

Calculus

Currently unavailable to order

ISBN10: 0898716942
ISBN13: 9780898716948
Publisher: Society for Industrial and Applied Mathematic
Published: May 13 2010
Pages: 323
Language: English
The performance of a process, such as aircraft fuel consumption, can be enhanced when its most effective controls and operating points are determined. Primer on Optimal Control Theory provides an introduction to the theory behind analysing these processes and finding the best controls, which provides a sound basis for those wishing to tackle more advanced literature. The book presents the important concepts of weak and strong control variations leading to local necessary conditions, and also global sufficiency of Hamilton-Jacobi-Bellman theory. It also gives the second variation for local optimality where the associated Riccati equation is derived from the transition matrix of the Hamiltonian system. These ideas lead naturally to the development of H2 and H∞ synthesis algorithms. This book will enable applied mathematicians, engineers, scientists, biomedical researchers, and economists to understand and implement optimal control theory at a level of sufficient generality and applicability for most practical purposes.

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Calculus