Existence and Necessary Conditions for Infinite Dimensional Control Problems Involving Maximum Deviation,
Abstract
The paper contains a discussion of a class of distributed parameter control problems in which it is desired to minimize the maximum deviation of the state from some desired response. The state equation is governed by a linear evolution equation and the control is distributed over the time and spatial domain. Conditions for the existence of optimal controls are obtained by formulating the control problem as a minimum norm problem in the dual of a normed linear space. Necessary conditions which the optimal controls must satisfy are then obtained by considering the dual maximization problem. Finally, the auxiliary moment problem, which is obtained by approximating the L sub infinity norm by the L sub p norm, is discussed as an epsilon-variational problem. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1971
- Accession Number
- AD0725774
Entities
People
- Agit Choudhury
- John Baziw
Organizations
- University of California, Los Angeles