Theory of suboptimal decisions: Decomposition and aggregation AA Pervozvanskii, VG Gaitsgori Springer Science & Business Media, 2013 | 146 | 2013 |
Suboptimization of singularly perturbed control systems V Gaitsgory SIAM journal on control and optimization 30 (5), 1228-1249, 1992 | 128 | 1992 |
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 | 107 | 2009 |
The value function of singularly perturbed control systems Z Artstein, V Gaitsgory Applied Mathematics and Optimization 41, 425-445, 2000 | 98 | 2000 |
Decomposition, aggregation, and approximate optimization AA Pervozvanskii, VG Gaitsgori Science, Moscow (in Russian), 1979 | 65 | 1979 |
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 | 63 | 2006 |
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 | 63 | 1997 |
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 | 62 | 2004 |
Aggregation of states in a Markov chain with weak interaction VG Gaitsgori, AA Pervozvanskii Cybernetics 11 (3), 441-450, 1975 | 55 | 1975 |
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 | 54 | 1999 |
Stabilization with discounted optimal control NT V Gaitsgory, L Grüne Systems & Control Letters 82, 91-98, 2015 | 53 | 2015 |
Control of singularly perturbed hybrid stochastic systems JA Filar, V Gaitsgory, AB Haurie IEEE Transactions on Automatic Control 46 (2), 179-190, 2001 | 53 | 2001 |
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 | 49 | 1997 |
Averaging of singularly perturbed controlled stochastic differential equations V Borkar, V Gaitsgory Applied mathematics and optimization 56 (2), 169-209, 2007 | 48 | 2007 |
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 | 46* | 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 | 45 | 2002 |
USE OF THE AVERAGING METHOD IN CONTROL-PROBLEMS VG Gaitsgori Differential Equations 22 (11), 1290-1299, 1986 | 44 | 1986 |
Suboptimal control of singularly perturbed systems and periodic optimization V Gaitsgory IEEE Transactions on Automatic Control 38 (6), 888-903, 1993 | 41 | 1993 |
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 | 35 | 2008 |
Control of systems with fast and slow motions V Gaitsgory Nauka, Moscow, 1991 | 35* | 1991 |