Some Basic Properties of the Payoffs Defined by Closed-Loop Strategies.
Abstract
Let x = f(x, mu, nu) be the kinematic equation of a 2-person, zero-sum differential game where (mu, nu) is of class C(m) on the playing space. It is shown that, whenever f(x, mu, nu) is not tangent to the terminal surface C, there exists a neighborhood of C in which every point y can be uniquely represented as (tau, (y sub 0)), where gamma is a solution to the kinematic equations, (y sub 0) is in C, and tau is the time until the path originating at y meets (y sub 0). (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1974
- Accession Number
- AD0784434
Entities
People
- J. Bradley
- P. L. Yu
Organizations
- University of Texas at Austin