메뉴 건너뛰기




Volumn 42, Issue 5, 1996, Pages 1529-1535

On the relative entropy of discrete-time Markov processes with given end-point densities

Author keywords

Markov and reciprocal processes; Minimum energy LQG control; Relative entropy

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; IDENTIFICATION (CONTROL SYSTEMS); MARKOV PROCESSES; OPTIMAL CONTROL SYSTEMS; PROBABILITY;

EID: 0030242659     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.532893     Document Type: Article
Times cited : (35)

References (16)
  • 2
    • 34249916311 scopus 로고
    • A stochastic control approach to reciprocal diffusion processes
    • P. Dai Pra, "A stochastic control approach to reciprocal diffusion processes," Appl. Math. Optim., vol. 23, pp. 313-329, 1991.
    • (1991) Appl. Math. Optim. , vol.23 , pp. 313-329
    • Dai Pra, P.1
  • 4
    • 84888075218 scopus 로고
    • Discrete-time Gauss-Markov processes with fixed reciprocal dynamics
    • Summary. Full paper available via ftp from the publisher
    • B. C. Levy and A. Beghi, "Discrete-time Gauss-Markov processes with fixed reciprocal dynamics," J. Math. Syst., Estimat., and Contr., vol. 4, no. 3, pp. 393-396, 1994. (Summary. Full paper available via ftp from the publisher.)
    • (1994) J. Math. Syst., Estimat., and Contr. , vol.4 , Issue.3 , pp. 393-396
    • Levy, B.C.1    Beghi, A.2
  • 5
    • 0025480304 scopus 로고
    • Modeling and estimation of discrete-time Gaussian reciprocal processes
    • Sept.
    • B. C. Levy, R. Frezza, and A. J. Krener, "Modeling and estimation of discrete-time Gaussian reciprocal processes," IEEE Trans. Automat. Contr., vol. 35, pp. 1013-1023, Sept. 1990.
    • (1990) IEEE Trans. Automat. Contr. , vol.35 , pp. 1013-1023
    • Levy, B.C.1    Frezza, R.2    Krener, A.J.3
  • 6
    • 33747118997 scopus 로고
    • Schrödinger bridges from 1931 to 1991
    • A. Wakolbinger, "Schrödinger bridges from 1931 to 1991," in Proc. IV CLAPEM, 1991.
    • (1991) Proc. IV CLAPEM
    • Wakolbinger, A.1
  • 7
    • 0001301115 scopus 로고
    • Random fields and diffusion processes
    • (Lecture Notes in Mathematics, vol. 1362), P. Hennequin, Ed. Berlin: Springer-Verlag
    • H. Föllmer, "Random fields and diffusion processes," in Ecole d'Eté de Probabilités de Saint Flour, XV-XVII (Lecture Notes in Mathematics, vol. 1362), P. Hennequin, Ed. Berlin: Springer-Verlag, 1989.
    • (1989) Ecole D'Eté De Probabilités De Saint Flour, XV-XVII
    • Föllmer, H.1
  • 8
    • 0042122329 scopus 로고
    • A direct derivation of the optimal linear filter using the maximum principle
    • Dec.
    • M. Athans and E. Tse, "A direct derivation of the optimal linear filter using the maximum principle," IEEE Trans. Automat. Contr., vol. AC-12, pp. 690-698, Dec. 1967.
    • (1967) IEEE Trans. Automat. Contr. , vol.AC-12 , pp. 690-698
    • Athans, M.1    Tse, E.2
  • 9
    • 0003430494 scopus 로고
    • (Lecture Notes in Statistics). New York: Marcel Dekker
    • G. S. Rogers, Matrix Derivatives (Lecture Notes in Statistics). New York: Marcel Dekker, 1980.
    • (1980) Matrix Derivatives
    • Rogers, G.S.1
  • 11
    • 84888075218 scopus 로고
    • Continuous-time Gauss-Markov processes with fixed reciprocal dynamics
    • Summary. Full paper available via ftp from the publisher
    • A. Beghi, "Continuous-time Gauss-Markov processes with fixed reciprocal dynamics," J. Math. Syst., Estimat., and Contr., vol. 4, no. 4, pp. 497-500, 1994. (Summary. Full paper available via ftp from the publisher).
    • (1994) J. Math. Syst., Estimat., and Contr. , vol.4 , Issue.4 , pp. 497-500
    • Beghi, A.1
  • 12
    • 0001667951 scopus 로고
    • Risk-sensitive linear-quadratic-Ganssian control
    • P. Whittle, "Risk-sensitive linear-quadratic-Ganssian control," Adv. Appl. Prob., vol. 13, pp. 764-777, 1981.
    • (1981) Adv. Appl. Prob. , vol.13 , pp. 764-777
    • Whittle, P.1
  • 13
    • 0024939913 scopus 로고
    • On stabilizing properties of solutions of the Riccati difference equation
    • C. De Souza, "On stabilizing properties of solutions of the Riccati difference equation," IEEE Trans. Automat. Contr., vol. 34, pp. 1313-1316, 1989.
    • (1989) IEEE Trans. Automat. Contr. , vol.34 , pp. 1313-1316
    • De Souza, C.1
  • 14
    • 0026953144 scopus 로고
    • On the time-varying Riccati difference equation of optimal filtering
    • Nov.
    • G. De Nicolao, "On the time-varying Riccati difference equation of optimal filtering," SIAM J. Contr. and Opt., vol. 30, pp. 1251-1269, Nov. 1992.
    • (1992) SIAM J. Contr. and Opt. , vol.30 , pp. 1251-1269
    • De Nicolao, G.1
  • 15
    • 0039607518 scopus 로고
    • Probability densities with given marginals
    • S. Kullback, "Probability densities with given marginals," Annals Math. Statist., vol. 39, pp. 1236-1243, 1968.
    • (1968) Annals Math. Statist. , vol.39 , pp. 1236-1243
    • Kullback, S.1
  • 16
    • 0000546609 scopus 로고
    • I-divergence geometry of probability distributions and minimization problems
    • I. Csiszár, "I-divergence geometry of probability distributions and minimization problems," Annals Probab., vol. 3, pp. 146-158, 1975.
    • (1975) Annals Probab. , vol.3 , pp. 146-158
    • Csiszár, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.