EXISTENCE THEOREMS FOR OPTIMAL PROBLEMS WITH VECTOR VALUED COST FUNCTIONS.
Abstract
The paper considers the following optimal control problem. Consider a control system (0.1) y dot = f(t,y,u) where f maps J sub o X Y X E into Y, J sub o = (a sub o, b sub o) is an interval, and Y,E are Euclidean spaces. By a solution of (0.1) is meant a triple (J,y,u), where J included in J sub o is an interval, y: J approaches Y is absolutely continuous, u: J approaches E is Lebesgue measurable, and y dot(t) = f(t,y(t),u(t)), u(t) epsilon U(t,y(t)) almost everywhere (a.e.) in J. The control domain U is a map from J sub o X Y into subsets of E.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1967
- Accession Number
- AD0662745
Entities
People
- Czeslaw Olech
Organizations
- Brown University