Pursuit Differential Games with State Constraints
نویسندگان
چکیده
منابع مشابه
Complex Differential Games of Pursuit-Evasion Type with State Constraints, Part 1: Necessary Conditions for Optimal Open-Loop Strategies
Complex pursuit-evasion games with state variable inequality constraints are investigated. Necessary conditions of the first and the second order for optimal trajectories are developed, which enable the calculation of optimal open-loop strategies. The necessary conditions on singular surfaces induced by state constraints and nonsmooth data are discussed in detail. These conditions lead to multi...
متن کاملComplex Differential Games of Pursuit-Evasion Type with State Constraints, Part 2: Numerical Computation of Optimal Open-Loop Strategies
In Part 1 of this paper (Ref. 1), necessary conditions for optimal open-loop strategies in differential games of pursuit-evasion type have been developed for problems which involve state variable inequality constraints and nonsmooth data. These necessary conditions lead to multipoint boundary-value problems with jump conditions. These problems can be solved very efficiently and accurately by th...
متن کاملStochastic multi-player pursuit–evasion differential games
Autonomous aerial vehicles play an important role in military applications such as in search, surveillance and reconnaissance. Multi-player stochastic pursuit–evasion (PE) differential game is a natural model for such operations involving intelligent moving targets with uncertainties. In this paper, some fundamental issues of stochastic PE games are addressed. We first model a general stochasti...
متن کاملMulti-Player Pursuit-Evasion Differential Games
The increasing use of unmanned assets and robots in modern military operations renews an interest in the study of general pursuit-evasion games involving multiple pursuers and multiple evaders. Due to the difficulty in formulation and rigorous treatment, the literature in this field is very limited. This paper presents a hierarchical approach to this kind of problem. With an additional structur...
متن کاملFixed 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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2000
ISSN: 0363-0129,1095-7138
DOI: 10.1137/s0363012998349327