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Linear Discrete Pursuit Game Problem with Total Constraints

Author

Listed:
  • Atamurat Kuchkarov
  • Gafurjan Ibragimov
  • Akmal Sotvoldiev

Abstract

We study a linear discrete pursuit game problem of one pursuer and one evader. Control vectors of the players are subjected to total constraints which are discrete analogs of the integral constraints. By definition pursuit can be completed in the game if there exists a strategy of the pursuer such that for any control of the evader the state of system z(t) reaches the origin at some time. We obtain sufficient conditions of completion of the game from any initial position of the state space. Strategy of the pursuer is defined as a function of the current state of system and value of control parameter of the evader.

Suggested Citation

  • Atamurat Kuchkarov & Gafurjan Ibragimov & Akmal Sotvoldiev, 2013. "Linear Discrete Pursuit Game Problem with Total Constraints," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:840925
    DOI: 10.1155/2013/840925
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    References listed on IDEAS

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    1. Gafurjan Ibragimov & Nu'man Satimov, 2012. "A Multiplayer Pursuit Differential Game on a Closed Convex Set with Integral Constraints," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, November.
    2. Gafurjan Ibragimov & Nu′man Satimov, 2012. "A Multiplayer Pursuit Differential Game on a Closed Convex Set with Integral Constraints," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Juan-Ignacio Latorre-Biel & Emilio Jiménez-Macías & Mercedes Pérez de la Parte & Julio Blanco-Fernández & Eduardo Martínez-Cámara, 2014. "Control of Discrete Event Systems by Means of Discrete Optimization and Disjunctive Colored PNs: Application to Manufacturing Facilities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Asqar Raxmonov & Gafurjan I. Ibragimov, 2014. "An Approach for Solving Discrete Game Problems with Total Constraints on Controls," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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