메뉴 건너뛰기




Volumn 45, Issue 3, 2000, Pages 398-412

Minimax optimal control of stochastic uncertain systems with relative entropy constraints

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR QUADRATIC GAUSSIAN OPTIMAL CONTROLLER; MINIMAX OPTIMAL CONTROL; NOISE DISTRIBUTION; QUADRATIC CONSTRAINT UNCERTAINTY;

EID: 0033722291     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.847720     Document Type: Article
Times cited : (286)

References (30)
  • 2
    • 84948611943 scopus 로고
    • Guaranteed margins for LQG regulators
    • J. C. Doyle, "Guaranteed margins for LQG regulators," IEEE Trans. Automat. Contr., vol. AC-23, 1978.
    • (1978) IEEE Trans. Automat. Contr. , vol.AC-23
    • Doyle, J.C.1
  • 3
    • 0001725231 scopus 로고
    • Asymptotic stability of an equilibrium position of a family of systems of linear differential equations
    • V. L. Kharitonov, "Asymptotic stability of an equilibrium position of a family of systems of linear differential equations," Different. Uravneniya, vol. 14, pp. 2086-2088, 1978.
    • (1978) Different. Uravneniya , vol.14 , pp. 2086-2088
    • Kharitonov, V.L.1
  • 6
    • 0020203138 scopus 로고
    • Analysis of feedback systems with structured uncertainty
    • J. C. Doyle, "Analysis of feedback systems with structured uncertainty," Proc. Inst. Elect. Eng. D, vol. 129, pp. 242-250, 1982.
    • (1982) Proc. Inst. Elect. Eng. D , vol.129 , pp. 242-250
    • Doyle, J.C.1
  • 7
    • 0029292478 scopus 로고
    • Minimax optimal control of uncertain systems with structured uncertainty
    • A. V. Savkin and I. R. Petersen, "Minimax optimal control of uncertain systems with structured uncertainty," Int. J. Robust Nonlinear Contr., vol. 5, pp. 119-137, 1995.
    • (1995) Int. J. Robust Nonlinear Contr. , vol.5 , pp. 119-137
    • Savkin, A.V.1    Petersen, I.R.2
  • 8
    • 0024085076 scopus 로고
    • Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part
    • V. A. Yakubovich, "Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part," Syst. Contr. Lett., vol. 11, pp. 221-228, 1988.
    • (1988) Syst. Contr. Lett. , vol.11 , pp. 221-228
    • Yakubovich, V.A.1
  • 9
    • 0029236784 scopus 로고
    • Nonlinear versus linear control in the absolute stabilizability of uncertain linear systems with structured uncertainty
    • A. V. Savkin and I. R. Petersen, "Nonlinear versus linear control in the absolute stabilizability of uncertain linear systems with structured uncertainty," IEEE Trans. Automat. Contr., vol. 40, pp. 122-127, 1995.
    • (1995) IEEE Trans. Automat. Contr. , vol.40 , pp. 122-127
    • Savkin, A.V.1    Petersen, I.R.2
  • 10
    • 0001669746 scopus 로고
    • ∞ control and the absolute stabilizability of discrete-time uncertain systems
    • ∞ control and the absolute stabilizability of discrete-time uncertain systems," Automatica, vol. 31, pp. 1193-1195, 1995.
    • (1995) Automatica , vol.31 , pp. 1193-1195
    • Moheimani, S.O.R.1    Savkin, A.V.2    Petersen, I.R.3
  • 11
    • 0031162465 scopus 로고    scopus 로고
    • System analysis via integral quadratic constraints
    • A. Megretski and A. Rantzer, "System analysis via integral quadratic constraints," IEEE Trans. Automat. Contr., vol. 42, pp. 819-830, 1997.
    • (1997) IEEE Trans. Automat. Contr. , vol.42 , pp. 819-830
    • Megretski, A.1    Rantzer, A.2
  • 12
    • 0030195919 scopus 로고    scopus 로고
    • Performance analysis and controller synthesis for nonlinear systems with stochastic uncertainty constraints
    • I. R. Petersen and M. R. James, "Performance analysis and controller synthesis for nonlinear systems with stochastic uncertainty constraints," Automatica, vol. 32, pp. 959-972, 1996.
    • (1996) Automatica , vol.32 , pp. 959-972
    • Petersen, I.R.1    James, M.R.2
  • 19
    • 84866834220 scopus 로고    scopus 로고
    • Existence of risk sensitive optimal stationary policies for controlled Markov processes
    • to be published
    • H. Herenández and S. I. Marcus, "Existence of risk sensitive optimal stationary policies for controlled Markov processes," SIAM J. Contr. Optim., to be published.
    • SIAM J. Contr. Optim.
    • Herenández, H.1    Marcus, S.I.2
  • 20
    • 84866836816 scopus 로고    scopus 로고
    • Risk sensitive control of finite state machines on an infinite horizon
    • to be published
    • W. H. Fleming and H. Herenández, "Risk sensitive control of finite state machines on an infinite horizon," Appl. Math. Optim., to be published.
    • Appl. Math. Optim.
    • Fleming, W.H.1    Herenández, H.2
  • 21
    • 0001667951 scopus 로고
    • Risk-sensitive linear/quadratic/Gaussian control
    • P. Whittle, "Risk-sensitive linear/quadratic/Gaussian control," Adv. Appl. Probability, vol. 13, pp. 764-777, 1981.
    • (1981) Adv. Appl. Probability , vol.13 , pp. 764-777
    • Whittle, P.1
  • 22
    • 0028416983 scopus 로고
    • Risk-sensitive control and dynamic games for partially observed discrete-time nonlinear systems
    • M. R. James, J. S. Baras, and R. J. Elliott, "Risk-sensitive control and dynamic games for partially observed discrete-time nonlinear systems," IEEE Trans. Automat. Contr., vol. 39, pp. 780-792, 1994.
    • (1994) IEEE Trans. Automat. Contr. , vol.39 , pp. 780-792
    • James, M.R.1    Baras, J.S.2    Elliott, R.J.3
  • 23
    • 0024085053 scopus 로고
    • State formulae for all stabilizing controllers that satisfy an H infinity norm bound and relations to risk sensitivity
    • K. Glover and J. C. Doyle, "State formulae for all stabilizing controllers that satisfy an H infinity norm bound and relations to risk sensitivity," Syst. Contr. Lett., vol. 11, pp. 167-172, 1988.
    • (1988) Syst. Contr. Lett. , vol.11 , pp. 167-172
    • Glover, K.1    Doyle, J.C.2
  • 24
    • 0029721295 scopus 로고    scopus 로고
    • An information-state approach to risk-sensitive tracking problems
    • I. B. Collings, M. R. James, and J. B. Moore, "An information-state approach to risk-sensitive tracking problems," J. Math. Syst., Estimat. Contr., vol. 6, pp. 1-24, 1996.
    • (1996) J. Math. Syst., Estimat. Contr. , vol.6 , pp. 1-24
    • Collings, I.B.1    James, M.R.2    Moore, J.B.3
  • 26
    • 0029732720 scopus 로고    scopus 로고
    • Nonlinear discrete-time risk-sensitive optimal control
    • M. C. Campi and M. R. James, "Nonlinear discrete-time risk-sensitive optimal control," Int. J. Robust Nonlinear Contr., vol. 6, pp. 1-19, 1996.
    • (1996) Int. J. Robust Nonlinear Contr. , vol.6 , pp. 1-19
    • Campi, M.C.1    James, M.R.2
  • 27
    • 0031369170 scopus 로고    scopus 로고
    • Minimax optimal control of stochastic uncertain systems with relative entropy constraints
    • San Diego, CA
    • I. R. Petersen, M. R. James, and P. Dupuis, "Minimax optimal control of stochastic uncertain systems with relative entropy constraints," in Proc. 36th IEEE Conf. Decision Contr., San Diego, CA, 1997.
    • (1997) Proc. 36th IEEE Conf. Decision Contr.
    • Petersen, I.R.1    James, M.R.2    Dupuis, P.3
  • 29
    • 0015615984 scopus 로고
    • Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games
    • Feb.
    • D. H. Jacobson, "Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games," IEEE Trans. Automat. Contr., vol. AC-18, pp. 124-131, Feb. 1973.
    • (1973) IEEE Trans. Automat. Contr. , vol.AC-18 , pp. 124-131
    • Jacobson, D.H.1
  • 30
    • 0032000528 scopus 로고    scopus 로고
    • ∞ control with constant diagonal scaling
    • Feb.
    • ∞ control with constant diagonal scaling," IEEE Trans. Automat. Contr., vol. 43, pp. 191-203, Feb. 1998.
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , pp. 191-203
    • Yamada, Y.1    Hara, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.