A Multiplayer Pursuit Differential Game on a Closed Convex Set with Integral Constraints

A Multiplayer Pursuit Differential Game on a Closed Convex Set with Integral Constraints

and Applied Analysis 3 Table 1: Brief summary of obtained results. Author s Number of pursuers Number of evaders The set where the pursuit occurs Constraint on controls Satimov et al. 1983 10 m 1 R Integral Ibragimov 2004 15 m k R Integral Ivanov 1980 17 m 1 Closed convex subsetN of R Geometric Ibragimov 2002 16 1 1 Closed convex subsetN of R Integral Leong and Ibragimov 2008 14 m 1 Closed conv...

Fixed Duration Pursuit-Evasion Differential Game with Integral Constraints

We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is completed. Purpose of the pursuers is to minimize the payoff and that of the evader is to maximize ...

Linear Discrete Pursuit Game with Phase Constraints

We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Position of the evader satisfies phase constraints: y∈G, where G is a subset of Rn. We considered two cases: (1) controls of the players satisfy geometric constraints, and (2) controls of the players satisfy total constraints. Terminal set M is a subset of Rn an...

A Differential Oligopoly Game with Sticky Prices and Environmental Externality

Using Multiplayer Differential Game Theory to Derive Efficient Pursuit-evasion Strategies for Unmanned Aerial Vehicles

The work would not have been possible without the insight and support of my advisor Professor George Vachtsevanos whose guidance has been invaluable. I also like to thank the members of my committee, Professor Magnus Egerstedt, Professor Eric Verriest, and Professor Vincent Mooney whose comments and suggestions have significantly impacted the direction of this research. Finally, I would like to...