164 research outputs found
Infinite Horizon Noncooperative Differential Games
For a non-cooperative differential game, the value functions of the various
players satisfy a system of Hamilton-Jacobi equations. In the present paper, we
consider a class of infinite-horizon games with nonlinear costs exponentially
discounted in time. By the analysis of the value functions, we establish the
existence of Nash equilibrium solutions in feedback form and provide results
and counterexamples on their uniqueness and stability.Comment: 25 pages, 7 figure
On a linear differential equation of the advanced type
A linear differential equation of the advanced type is considered. Existence of solutions for any finite interval is shown. Also, a method for generating all the solutions is described and justified
Nonclassical Control Problems and Stackelberg Games
Coordinated Science Laboratory was formerly known as Control Systems LaboratoryItem is misnumbered as UILU-ENG-2207Joint Services Electronics Program / DAAB-07-72-C-0259National Science Foundation / ENG-74-20091Department of Energy, Electric Energy Systems Division / U.S. ERDA EX-76-C-01-208
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