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Author: Kenneth Var Saunders Publisher: ISBN: Category : Languages : en Pages : 248
Book Description
This thesis deals with the investigation of geometric aspects of optimal control problems with state inequality constraints. An 'unrestricted' maximum principle is derived, whose associated adjoint equation possesses a solution which is continuous, except under special circumstances, even at junction points of an optimal trajectory with the state boundary. This result is shown to be valid under the assumption of regularity (in the sense of Pontryagin) as well as for certain non-regular problems. The relation between the 'unrestricted' maximum principle and the restricted one of Pontryagin is demonstrated. This investigation is based on the geometric notions introduced by Blaquiere and Leitmann and constitutes an extension of their work to problems with state variable inequality constraints. This geometric approach is contrasted with the approach of Dynamic Programming. (Author).
Author: Kenneth Var Saunders Publisher: ISBN: Category : Languages : en Pages : 248
Book Description
This thesis deals with the investigation of geometric aspects of optimal control problems with state inequality constraints. An 'unrestricted' maximum principle is derived, whose associated adjoint equation possesses a solution which is continuous, except under special circumstances, even at junction points of an optimal trajectory with the state boundary. This result is shown to be valid under the assumption of regularity (in the sense of Pontryagin) as well as for certain non-regular problems. The relation between the 'unrestricted' maximum principle and the restricted one of Pontryagin is demonstrated. This investigation is based on the geometric notions introduced by Blaquiere and Leitmann and constitutes an extension of their work to problems with state variable inequality constraints. This geometric approach is contrasted with the approach of Dynamic Programming. (Author).
Author: Mung Chiang Publisher: Now Publishers Inc ISBN: 9781933019093 Category : Computers Languages : en Pages : 172
Book Description
Recently Geometric Programming has been applied to study a variety of problems in the analysis and design of communication systems from information theory and queuing theory to signal processing and network protocols. Geometric Programming for Communication Systems begins its comprehensive treatment of the subject by providing an in-depth tutorial on the theory, algorithms, and modeling methods of Geometric Programming. It then gives a systematic survey of the applications of Geometric Programming to the study of communication systems. It collects in one place various published results in this area, which are currently scattered in several books and many research papers, as well as to date unpublished results. Geometric Programming for Communication Systems is intended for researchers and students who wish to have a comprehensive starting point for understanding the theory and applications of geometric programming in communication systems.
Author: William Eugene Hamilton Publisher: ISBN: Category : Constrained optimization Languages : en Pages : 162
Book Description
The report deals with theoretical and computational aspects or optimal control problems with state variable inequality constraints. The computational methods developed here solve bounded state variable problems by searching the constraint surface (or boundary) for the optimal junction point between the subarc on the boundary and the unconstrained subarc. The results obtained for the bounded state variables problem are extended to problems with discontinuous state variable and/or discontinuous differential equations. (Author).
Author: Kenneth Var Saunders
Author: Kenneth Var Saunders
Author: Russell D. Shaver
Author: Francois Xavier Litt
Author: K. L. Teo
Author: Russell Davis Shaver
Author: Mung Chiang
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Author: William Eugene Hamilton
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