On applied nonlinear and bilevel programming for pursuit-evasion games

DOI10.1023/A:1026461805159zbMath0978.91011MaRDI QIDQ5929426

Harri Ehtamo, T. Raivio

Publication date: 4 April 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

pursuit-evasion game

Mathematics Subject Classification ID

Discrete-time games (91A50) Differential games (aspects of game theory) (91A23)

Related Items (7)

A numerical treatment based on Bernoulli Tau method for computing the open-loop Nash equilibrium in nonlinear differential games ⋮ Differential inequality approach for deterministic approximation in two person zero-sum stochastic differential games ⋮ A numerical solution of open-loop Nash equilibrium in nonlinear differential games based on Chebyshev pseudospectral method ⋮ Optimistic minimax search for noncooperative switched control with or without dwell time ⋮ A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games ⋮ Abnormal and singular solutions in the target guarding problem with dynamics ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Uses Software

• NPSOL
• OTIS

Cites Work

• Introduction to sensitivity and stability analysis in nonlinear programming
• Hierarchical optimization: An introduction
• Implicitly defined optimization problems
• Complex differential games of pursuit-evasion type with state constraints. I: Necessary conditions for optimal open-loop strategies
• Robust optimal onboard reentry guidance of a space shuttle: Dynamic game approach and guidance synthesis via neural networks
• On bilevel programming. I: General nonlinear cases
• Conversion of Optimal Control Problems into Parameter Optimization Problems
• Survey of Numerical Methods for Trajectory Optimization
• Direct trajectory optimization using nonlinear programming and collocation
• Convergence Control in Differential Dynamic Programing Applied to Air-to-Air Combat
• Trajectory optimization based on differential inclusion (Revised)
• Consistent Approximations for Optimal Control Problems Based on Runge–Kutta Integration
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On applied nonlinear and bilevel programming for pursuit-evasion games