Integral global optimization method for differential games with application to pursuit-evasion games

DOI10.1016/0898-1221(89)90138-7zbMath0699.90107OpenAlexW2088437751MaRDI QIDQ913680

Efim A. Galperin, Quan Zheng

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90138-7

zbMATH Keywords

algorithmcompact control setsinfinite dimensional minimax or maximin control problems

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Differential games (aspects of game theory) (91A23) Positional games (pursuit and evasion, etc.) (91A24)

Related Items

Robust analysis and global minimization of a class of discontinuous functions. I, Finite dimensional approximation to solutions of minimization problems in functional spaces, Robust analysis and global minimization of a class of discontinuous functions. II, Discontinuity and measurability of robust functions in the integral global minimization

Cites Work

• Integral global optimization method for nonlinear games
• The cubic algorithm
• Nonlinear observation via global optimization: measure theory approach
• Precision, complexity, and computational schemes of the cubic algorithms
• Two alternatives for the cubic algorithm
• Constrained global optimization: algorithms and applications
• The Beta-algorithm
• Stochastic differential games
• The existence of solutions of generalized differential equations
• Stochastic global optimization methods part I: Clustering methods
• The Relationship between the Maximum Principle and Dynamic Programming
• Variation-free iterative method for global optimal control
• Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method
• Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side
• Variational problems in the theory of optimum processes
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