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Volumn 54, Issue 2, 2005, Pages 119-124

On stochastic Riccati equations for the stochastic LQR problem

Author keywords

Brownian motion; Linear quadratic regulator; Stochastic Riccati equation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BROWNIAN MOVEMENT; FUNCTIONS; MATRIX ALGEBRA; PROBLEM SOLVING; RANDOM PROCESSES; STOCHASTIC PROGRAMMING; THEOREM PROVING;

EID: 10444223912     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2004.07.003     Document Type: Article
Times cited : (20)

References (5)
  • 1
    • 0032165503 scopus 로고    scopus 로고
    • Stochastic linear quadratic regulators with indefinite control weight costs
    • S.P. Chen, X.J. Li, X.Y. Zhou, Stochastic linear quadratic regulators with indefinite control weight costs, SIAM J. Control and Optimiz. 36 (5) (1998) 1685-1702.
    • (1998) SIAM J. Control and Optimiz. , vol.36 , Issue.5 , pp. 1685-1702
    • Chen, S.P.1    Li, X.J.2    Zhou, X.Y.3
  • 2
    • 0033719602 scopus 로고    scopus 로고
    • Relationship between backward stochastic differential equations and stochastic controls: A linear-quadratic approach
    • M. Kohlmann, X.Y. Zhou, Relationship between backward stochastic differential equations and stochastic controls: a linear-quadratic approach, SIAM J. Control and Optimiz. 38 (5) (2000) 1392-1407.
    • (2000) SIAM J. Control and Optimiz. , vol.38 , Issue.5 , pp. 1392-1407
    • Kohlmann, M.1    Zhou, X.Y.2
  • 3
    • 0000278406 scopus 로고
    • A unified treatment of maximum principle and dynamic programming in stochastic controls
    • X.Y. Zhou, A unified treatment of maximum principle and dynamic programming in stochastic controls, Stochast. Rep. 36 (1991) 137-161.
    • (1991) Stochast. Rep. , vol.36 , pp. 137-161
    • Zhou, X.Y.1
  • 4
    • 0030211386 scopus 로고    scopus 로고
    • Sufficient conditions of optimality for stochastic systems with controllable diffusions
    • X.Y. Zhou, Sufficient conditions of optimality for stochastic systems with controllable diffusions, IEEE Trans. Automat. Control 41 (1996) 1176-1179.
    • (1996) IEEE Trans. Automat. Control , vol.41 , pp. 1176-1179
    • Zhou, X.Y.1
  • 5
    • 0001042841 scopus 로고
    • On a matrix Riccati equation of stochastic control
    • W.M. Wonham, On a matrix Riccati equation of stochastic control, SIAM J. Control Optimiz. 6 (1968) 312-326.
    • (1968) SIAM J. Control Optimiz. , vol.6 , pp. 312-326
    • Wonham, W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.