Method of resolving functions in the theory of conflict-controlled processes

DOI10.1007/s10559-012-9430-yzbMath1311.91038OpenAlexW1983113260MaRDI QIDQ2263193

I. S. Rappoport, A. A. Chikrii

Publication date: 18 March 2015

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-012-9430-y

zbMATH Keywords

multivalued mappingsupport functionMinkowski functionstroboscopic strategyPontryagin conditionguaranteed timesuperpositional measurabilityconflict-controlled processes\(\mathfrak L\otimes\mathfrak B\)-measurable selector

Mathematics Subject Classification ID

Differential games and control (49N70) Set-valued and variational analysis (49J53) Differential games (aspects of game theory) (91A23)

Related Items (24)

MATRIX RESOLVING FUNCTIONS IN THE LINEAR GROUP PURSUIT PROBLEM WITH FRACTIONAL DERIVATIVES ⋮ Stroboscopic strategy in the method of resolving functions for game control problems with terminal payoff function ⋮ Sufficient conditions of approach of controlled objects in dynamic game problems. II ⋮ Modified resolving-functions method for game problems of approach of controlled objects with different inertia ⋮ Exact values of the approximations of differentiable functions by Poisson-type integrals ⋮ A modified method of resolving functions for game control problems with integral constraints ⋮ Game-theoretical problems for fractional-order nonstationary systems ⋮ Direct method for solving game problems of approach of controlled objects ⋮ Asymptotic properties of the solutions of higher-order differential equations on generalized Hölder classes ⋮ Modifications of the Pontryagin conditions in the problem of approach of conflict-controlled objects ⋮ Some asymptotic properties of the solutions of Laplace equations in a unit disk ⋮ Modeling the invariant method of dynamic resolution of aircraft conflicts ⋮ Resolving-functions method for game problems of control with integral constraints ⋮ The problem of approach of controlled objects in dynamic game problems with a terminal payoff function ⋮ The analytical method to solve nonstationary differential games of pursuit ⋮ Matrix resolving functions in dynamic games of approach ⋮ Sufficient conditions of approach of controlled objects in dynamic game problems. I ⋮ Method of resolving functions for game problems of approach of controlled objects with different inertia ⋮ Solving the problem of approach of controlled objects in dynamic game problems ⋮ Differential-difference games of approach with multiple delays ⋮ Strategies of group approach in the method of resolving functions for quasilinear conflict-controlled processes ⋮ Stroboscopic strategy in dynamic game problems with terminal payoff function and integral constraints on controls ⋮ Group Pursuit Differential Games with Pure Time-Lag ⋮ Extremum strategies of approach of controlled objects in dynamic game problems with terminal payoff function

Cites Work

• Developing B. N. Pshenichnyi's scientific ideas in optimization and mathematical control theory
• A guaranteed result in the quasilinear differential game
• Multivalued mappings and their selectors in the theory of conflict-controlled processes
• Integrals of set-valued functions
• Game Dynamic Problems for Systems with Fractional Derivatives
• Optimization and nonsmooth analysis
• Measurable relations
• Optimization of game interaction of fractional-order controlled systems
• DUALITY OF CONVEX FUNCTIONS AND EXTREMUM PROBLEMS
• Convex Analysis
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