The Isaacs equation for differential games, totally optimal fields of trajectories and related problems

DOI10.1016/j.camwa.2007.05.013zbMath1142.91347OpenAlexW2020522370WikidataQ115359608 ScholiaQ115359608MaRDI QIDQ931771

Efim A. Galperin

Publication date: 26 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.05.013

zbMATH Keywords

differential gamescontiguitytotally optimal fields of trajectories

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23)

Related Items (4)

G. Leitmann's integral transformation for global optimal control ⋮ Left time derivatives in mathematics, mechanics and control of motion ⋮ Information transmittal, time uncertainty and special relativity ⋮ Information transmittal and time uncertainty, measuring the speed of light and time of reflection, representations of Newton's second law and related problems

Uses Software

• Maple

Cites Work

• Global optimization in \(\mathbb R^{n}\) with box constraints and applications: a MAPLE code
• An introduction to applied optimal control
• Optimal control theory
• The cubic algorithm for global games with application to pursuit-evasion games
• Balance set and Pareto solutions in linear space with application to ongoing optimal resource allocation, investment planning, production, and control problems with multiple objectives
• Global optimization over general compact sets by the beta algorithm: a MAPLE code
• Reflections on optimality and dynamic programming
• Deterministic regression models for prediction and control
• The Relationship between the Maximum Principle and Dynamic Programming
• On the Efficacy of Nonlinear Control in Uncertain Linear Systems
• Control and stabilization of nonholonomic dynamic systems
• Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method
• On the theory of direct gyroscopic stabilizers
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