For more than forty years, the equation y'(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recentl
Infinite Dimensional Linear Control Systems: The Time Optimal and Norm Optimal Problems
β Scribed by H.O. Fattorini (Eds.)
- Publisher
- Elsevier
- Year
- 2005
- Tongue
- English
- Leaves
- 333
- Series
- North-Holland mathematics studies 201
- Edition
- 1st ed
- Category
- Library
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π SIMILAR VOLUMES
<p>Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elasticΒ plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displaceΒ
This book concerns existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. The author obtains these necessary conditions from Kuhn-Tucker theorems for nonlinear programming problems in infinite
<p>A knowledge of linear systems provides a firm foundation for the study of optimal control theory and many areas of system theory and signal processing. State-space techniques developed since the early sixties have been proved to be very effective. The main objective of this book is to present a b