Monotone approximations of minimum and maximum functions and multi-objective problems

DOI10.1007/S00245-012-9179-8zbMath1257.49042OpenAlexW2118531290MaRDI QIDQ1935506

Dušan M. Stipanović, Claire J. Tomlin, George Leitmann

Publication date: 18 February 2013

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-012-9179-8

zbMATH Keywords

multiple objectivesdynamic systemsminimum functionapproximations of functionsmaximum function

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Pursuit and evasion games (49N75)

Related Items (6)

Game with Two Pursuers and One Evader: Case of Weak Pursuers ⋮ Zero-sum pursuit-evasion differential games with many objects: survey of publications ⋮ Guaranteed strategies for escaping encirclement ⋮ CONTROL STRATEGIES FOR PLAYERS IN PURSUIT-EVASION GAMES BASED ON THEIR PREFERENCES ⋮ Two weak pursuers in a game against a single evader ⋮ Control of dynamical systems with discrete and uncertain observations

Cites Work

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• GUARANTEED STRATEGIES FOR NONLINEAR MULTI-PLAYER PURSUIT-EVASION GAMES
• Some Sufficient Conditions for Multi-Player Pursuit-Evasion Games with Continuous and Discrete Observations
• Deterministic control of uncertain systems
• Finite-Time Stability of Continuous Autonomous Systems
• A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games
• Analytic Inequalities
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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• Robust nonlinear control design. State-space and Lyapunov techniques
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