Vladimir Gaitsgory
Vladimir Gaitsgory
Professor of Mathematics, Macquarie University
Verified email at mq.edu.au - Homepage
TitleCited byYear
Theory of suboptimal decisions: Decomposition and aggregation
AA Pervozvanskii, VG Gaitsgori
Springer Science & Business Media, 2013
1242013
Suboptimization of singularly perturbed control systems
V Gaitsgory
SIAM journal on control and optimization 30 (5), 1228-1249, 1992
1201992
Linear programming approach to deterministic infinite horizon optimal control problems with discounting
V Gaitsgory, M Quincampoix
SIAM Journal on Control and Optimization 48 (4), 2480-2512, 2009
852009
The value function of singularly perturbed control systems
Z Artstein, V Gaitsgory
Applied Mathematics and Optimization 41 (3), 425-445, 2000
792000
Tracking fast trajectories along a slow dynamics: A singular perturbations approach
Z Artstein, V Gaitsgory
SIAM Journal on Control and Optimization 35 (5), 1487-1507, 1997
571997
Linear programming approach to deterministic long run average problems of optimal control
V Gaitsgory, S Rossomakhine
SIAM journal on control and optimization 44 (6), 2006-2037, 2006
532006
Control of singularly perturbed hybrid stochastic systems
JA Filar, V Gaitsgory, AB Haurie
IEEE Transactions on Automatic Control 46 (2), 179-190, 2001
512001
On a representation of the limit occupational measures set of a control system with applications to singularly perturbed control systems
V Gaitsgory
SIAM journal on control and optimization 43 (1), 325-340, 2004
482004
Limit occupational measures set for a control system and averaging of singularly perturbed control systems
V Gaitsgory, A Leizarowitz
Journal of mathematical analysis and applications 233 (2), 461-475, 1999
471999
Decomposition, aggregation, and approximate optimization
AA Pervozvanskii, VG Gaitsgori
Science, Moscow, USSR, 344, 1979
451979
Aggregation of states in a Markov chain with weak interaction
VG Gaitsgori, AA Pervozvanskii
Cybernetics 11 (3), 441-450, 1975
451975
Asymptotic optimization of a nonlinear hybrid system governed by a Markov decision process
E Altman, V Gaitsgory
SIAM Journal on Control and Optimization 35 (6), 2070-2085, 1997
421997
Suboptimal control of singularly perturbed systems and periodic optimization
V Gaitsgory
IEEE transactions on automatic control 38 (6), 888-903, 1993
381993
Approximate solution of the HJB inequality related to the infinite horizon optimal control problem with discounting
V Gaitsgory, S Rossomakhine, N Thatcher
Watam Press, 2012
37*2012
Multiscale singularly perturbed control systems: Limit occupational measures sets and averaging
V Gaitsgory, MT Nguyen
SIAM Journal on Control and Optimization 41 (3), 954-974, 2002
362002
Averaging of singularly perturbed controlled stochastic differential equations
V Borkar, V Gaitsgory
Applied mathematics and optimization 56 (2), 169-209, 2007
322007
Control of systems with fast and slow motions
V Gaitsgory
Nauka, Moscow, 1991
31*1991
USE OF THE AVERAGING METHOD IN CONTROL-PROBLEMS
VG Gaitsgori
Differential Equations 22 (11), 1290-1299, 1986
311986
Duality in linear programming problems related to deterministic long run average problems of optimal control
L Finlay, V Gaitsgory, I Lebedev
SIAM Journal on Control and Optimization 47 (4), 1667-1700, 2008
292008
Limit Hamilton–Jacobi–Isaacs equations for singularly perturbed zero-sum differential games
V Gaitsgory
Journal of mathematical analysis and applications 202 (3), 862-899, 1996
271996
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