Andrei Izmailovich Subbotin (on the occasion of his 70th birthday)

DOI10.1134/S0081543816050011zbMath1348.01028OpenAlexW2466407794WikidataQ123324181 ScholiaQ123324181MaRDI QIDQ338007

A. G. Chentsov, N. N. Subbotina, V. N. Ushakov, Alexander Tarasyev

Publication date: 3 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816050011

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of game theory, economics, and finance (91-03) History of calculus of variations and optimal control (49-03)

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Cites Work

• Semicontinuous solutions of Hamilton-Jacobi equations
• A piecewise linear value function for a differential game with simple motions
• Generalization of the main equation of differential game theory
• Properties of a differential game's potential
• Conditions for optimality of a guaranteed outcome in game problems of control
• Game problems on encounter with m target sets
• Generalized potentials in a differential game with a fixed termination instant
• On the isochronous and stroboscopic capture in differential games
• Alternative for an encounter-evasion differential game with integral constraints on the players' controls
• Alternative for the encounter-evasion differential game with constraints on the momenta of the players' controls
• Strategies of minimax aiming in the direction of the quasigradient
• Suboptimal universal strategies in an optimum-time game problem
• An iteration procedure for constructing minimax and viscous solutions to Hamilton-Jacobi equations
• On a saddle point of a positional differential game
• Approximation in a differential game
• Generalized characteristics of Hamiltonian-Jacobi equations
• Nonsmooth and discontinuous solutions of first-order partial differential equations
• Generalized solutions of partial differential equations of the first order. The invariance of graphs relative to differential inclusions
• An alternative for the game problem of convergence
• On classes of strategies in differential games of evasion of contact
• Program and position absorption in differential games
• On the structure of game problems of dynamics
• On continuous evasion stratigies in game problems on the encounter of motions
• ON A PROPERTY OF THE SUBDIFFERENTIAL
• Existence and uniqueness results for Hamilton-Jacobi equations
• The problem of convergence of controlled objects
• Control under conditions of conflict and indeterminacy
• Multivalued solutions of first-order partial differential equations
• The Synthesis of Universal Feedback Pursuit Strategies in Differential Games
• Minimax solutions of first-order partial differential equations
• Asymptotic controllability implies feedback stabilization
• Discontinuous solutions of a Dirichlet-type boundary-value problem for the first-order partial differential equation
• Optimal strategies in a linear differential game
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