Ergodic Control of Diffusion Processes
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[1] W. Feller. Non-Markovian Processes with the Semigroup Property , 1959 .
[2] S. Agmon,et al. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I , 1959 .
[3] R. Khas'minskii. Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations , 1960 .
[4] L. Dubins. On extreme points of convex sets , 1962 .
[5] M. Freidlin. Diffusion Processes with Reflection and Problems with a Directional Derivative on a Manifold with a Boundary , 1963 .
[6] D. Freedman,et al. Measurable sets of measures. , 1964 .
[7] Y. Kogan. On Optimal Control of a Non-Terminating Diffusion Process with Reflection , 1969 .
[8] V. Benes. Existence of Optimal Strategies Based on Specified Information, for a Class of Stochastic Decision Problems , 1970 .
[9] S. Ross. Average cost semi-markov decision processes , 1970, Journal of Applied Probability.
[10] R. Rishel. Necessary and Sufficient Dynamic Programming Conditions for Continuous Time Stochastic Optimal Control , 1970 .
[11] E. Wong. Representation of Martingales, Quadratic Variation and Applications , 1971 .
[12] S. Varadhan,et al. Diffusion processes with boundary conditions , 1971 .
[13] J. Willems. Dissipative dynamical systems part I: General theory , 1972 .
[14] A. Zvonkin. A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT , 1974 .
[15] Daniel H. Wagner. Survey of Measurable Selection Theorems , 1977 .
[16] D. W. Stroock,et al. Multidimensional Diffusion Processes , 1979 .
[17] N. Krylov. Controlled Diffusion Processes , 1980 .
[18] W. Fleming. Measure-valued processes in the control of partially-observable stochastic systems , 1980 .
[19] S. Mitter,et al. New results on the innovations problem for non-linear filtering , 1981 .
[20] C. Kenig,et al. Examples of singular parabolic measures and singular transition probability densities , 1981 .
[21] M. Robin. On Some Impulse Control Problems with Long Run Average Cost , 1981 .
[22] W. Fleming,et al. Optimal Control for Partially Observed Diffusions , 1982 .
[23] P. Lions. Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness , 1983 .
[24] P. L. Linos. Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application , 1983 .
[25] M. Robin. Long-term average cost control problems for continuous time Markov processes: A survey , 1983 .
[26] V. Borkar,et al. Ergodic control problem for one-dimensional diffusions with near-monotone cost , 1984 .
[27] P. Lions,et al. Stochastic differential equations with reflecting boundary conditions , 1984 .
[28] C. Striebel. Martingale conditions for the optimal control of continuous time stochastic systems , 1984 .
[29] Ulrich G. Haussmann. L'equation de Zakai et le problème séparé du contrôle optimal stochastique , 1985 .
[30] V. Borkar,et al. Corrections to :20Ergodic control problem for one-dimensional diffusions with near-monotone cost” , 1986 .
[31] A. Veretennikov. On Strong Solutions of Itô Stochastic Equations with Jumps , 1988 .
[32] M. K. Ghosh,et al. Ergodic control of multidimensional diffusions 1: the existence results , 1988 .
[33] V. Borkar. A topology for Markov controls , 1989 .
[34] Richard H. Stockbridg. Time-average control of martingale problems: the hamilton-jacobi-bellman equation , 1989 .
[35] J. Menaldi,et al. Ergodic control of reflected diffusions with jumps , 1989 .
[36] Vivek S. Borkar,et al. Optimal Control of Diffusion Processes , 1989 .
[37] M. K. Ghosh,et al. Ergodic control of multidimensional diffusions, II: Adaptive control , 1990 .
[38] R. Stockbridge. Time-Average Control of Martingale Problems: A Linear Programming Formulation , 1990 .
[39] R. Stockbridge. Time-Average Control of Martingale Problems: Existence of a Stationary Solution , 1990 .
[40] M. K. Ghosh,et al. Controlled diffusions with constraints , 1990 .
[41] B. Perthame,et al. Ergodic problem for optimal stochastic switching , 1990 .
[42] V. Borkar. On extremal solutions to stochastic control problems , 1991 .
[43] Michael I. Taksar,et al. Singular ergodic control for multidimensional Gaussian processes , 1992, Math. Control. Signals Syst..
[44] M. K. Ghosh,et al. Stochastic differential games: Occupation measure based approach , 1992 .
[45] A. Bensoussan,et al. On Bellman equations of ergodic control in n. , 1992 .
[46] A. Bensoussan,et al. On Bellman equations of ergodic control in Rn , 1992 .
[47] M. K. Ghosh,et al. Optimal control of switching diffusions with application to flexible manufacturing systems , 1993 .
[48] R. Karandikar,et al. Invariant Measures and Evolution Equations for Markov Processes Characterized Via Martingale Problems , 1993 .
[49] M. K. Ghosh,et al. Discrete-time controlled Markov processes with average cost criterion: a survey , 1993 .
[50] V. Borkar,et al. On Extremal Solutions of Controlled Nonlinear Filtering Equations , 1995 .
[51] W. Fleming,et al. Risk-Sensitive Control on an Infinite Time Horizon , 1995 .
[52] I. Gyöngy,et al. Existence of strong solutions for Itô's stochastic equations via approximations , 1996 .
[53] V. Borkar,et al. Occupation measures for controlled Markov processes: characterization and optimality , 1996 .
[54] Gopal K. Basak,et al. Ergodic control of degenerate diffusions , 1997 .
[55] M. Arisawa. Ergodic problem for the Hamilton-Jacobi-Bellman equation. I. Existence of the ergodic attractor , 1997 .
[56] M. K. Ghosh,et al. Ergodic Control of Switching Diffusions , 1997 .
[57] J. Menaldi,et al. Ergodic control of reflected diffusions with jumps , 1997 .
[58] P. Lions,et al. ON ERGODIC STOCHASTIC CONTROL , 1998 .
[59] T. Kurtz,et al. Existence of Markov Controls and Characterization of Optimal Markov Controls , 1998 .
[60] M. Arisawa. Ergodic problem for the Hamilton-Jacobi-Bellman equation. II , 1998 .
[61] M. Safonov. Nonuniqueness for second-order elliptic equations with measurable coefficients , 1999 .
[62] M. K. Ghosh,et al. Harnack's inequality for cooperative weakly coupled elliptic systems , 1999 .
[63] Numerical Comparison of Controls and Verification of Optimality for Stochastic Control Problems , 2000 .
[64] H. Kushner. Numerical Methods for Stochastic Control Problems in Continuous Time , 2000 .
[65] T. Kurtz,et al. Stationary Solutions and Forward Equations for Controlled and Singular Martingale Problems , 2001 .
[66] V. Bogachev,et al. ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS , 2001 .
[67] V. Borkar. Dynamic programming for ergodic control with partial observations , 2003 .
[68] V. Borkar,et al. A Note on Stochastic Dissipativeness , 2003 .
[69] B. Sirakov,et al. Harnack type estimates for nonlinear elliptic systems and applications , 2004 .
[70] Vivek S. Borkar,et al. Ergodic Control for Constrained Diffusions: Characterization Using HJB Equations , 2004, SIAM J. Control. Optim..
[71] V. Borkar,et al. A further remark on dynamic programming for partially observed Markov processes , 2004 .
[72] Wei Wu,et al. Optimal power allocation for a time-varying wireless channel under heavy-traffic approximation , 2006, IEEE Transactions on Automatic Control.
[73] Vivek S. Borkar,et al. Singular Perturbations in Ergodic Control of Diffusions , 2007, SIAM J. Control. Optim..
[74] Vivek S. Borkar,et al. Uniform Recurrence Properties of Controlled Diffusions and Applications to Optimal Control , 2010, SIAM J. Control. Optim..