TY - JOUR
T1 - Guaranteed strategies for nonlinear multi-player pursuit-evasion games
AU - Stipanović, Dušan M.
AU - Melikyan, Arik
AU - Hovakimyan, Naira
N1 - Funding Information:
This work has been supported by the Alexander von Humboldt Foundation, Bonn, Germany. The first author would also like to thank Mr. Juan S. Mejía for his help in producing the Matlab code used to obtain simulation results provided in the paper.
PY - 2010/3
Y1 - 2010/3
N2 - In this paper, we provide a methodology to design strategies for either guaranteed capture or guaranteed evasion in the case of pursuit-evasion games with multiple players which are represented by nonlinear dynamic models. This methodology is based on the continuously differentiable upper and lower approximations of the minimum and maximum function of an arbitrary number of arguments, comparison principle, and differential inequalities.
AB - In this paper, we provide a methodology to design strategies for either guaranteed capture or guaranteed evasion in the case of pursuit-evasion games with multiple players which are represented by nonlinear dynamic models. This methodology is based on the continuously differentiable upper and lower approximations of the minimum and maximum function of an arbitrary number of arguments, comparison principle, and differential inequalities.
KW - Liapunov analysis
KW - Pursuit-evasion games
KW - differential inequalities
KW - multi-player dynamic games
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U2 - 10.1142/S0219198910002489
DO - 10.1142/S0219198910002489
M3 - Article
AN - SCOPUS:77958064715
SN - 0219-1989
VL - 12
SP - 1
EP - 17
JO - International Game Theory Review
JF - International Game Theory Review
IS - 1
ER -