164 research outputs found

    Infinite Horizon Noncooperative Differential Games

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    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

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    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

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    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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