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Volumn 12, Issue 1, 1999, Pages 1-23

Finite horizon minimax optimal control of stochastic partially observed time varying uncertain systems

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; INTEGRAL EQUATIONS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; RICCATI EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); TIME VARYING SYSTEMS; UNCERTAIN SYSTEMS;

EID: 0032668384     PISSN: 09324194     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009843     Document Type: Article
Times cited : (59)

References (30)
  • 3
    • 0021455757 scopus 로고
    • Optimal control of partially observable stochastic systems with an exponential-of-integral performance index
    • [BvS] A. Bensoussan and J. H. van Schuppen, Optimal control of partially observable stochastic systems with an exponential-of-integral performance index, SIAM J. Control Optim. 23(4) (1985), 599-613.
    • (1985) SIAM J. Control Optim. , vol.23 , Issue.4 , pp. 599-613
    • Bensoussan, A.1    Van Schuppen, J.H.2
  • 10
    • 0001253761 scopus 로고
    • Power distribution inequalities in optimization and robustness of uncertain systems
    • [MT] A. Megretsky and S. Treil, Power distribution inequalities in optimization and robustness of uncertain systems, J. Math. Systems Estimation Control 3(3) (1993), 301-319.
    • (1993) J. Math. Systems Estimation Control , vol.3 , Issue.3 , pp. 301-319
    • Megretsky, A.1    Treil, S.2
  • 12
    • 0030242426 scopus 로고    scopus 로고
    • Model simplification and optimal control of stochastic singularly perturbed systems under exponentiated quadratic cost
    • [PB] Z. Pan and T. Başar, Model simplification and optimal control of stochastic singularly perturbed systems under exponentiated quadratic cost, SIAM J. Control Optim. 34(5) (1996), 1734-1766.
    • (1996) SIAM J. Control Optim. , vol.34 , Issue.5 , pp. 1734-1766
    • Pan, Z.1    Başar, T.2
  • 13
    • 0030195919 scopus 로고    scopus 로고
    • Performance analysis and controller synthesis for nonlinear systems with stochastic uncertainty constraints
    • [PJ] I. R. Petersen and M. R. James, Performance analysis and controller synthesis for nonlinear systems with stochastic uncertainty constraints, Automatica 32(7) (1996), 959-972.
    • (1996) Automatica , vol.32 , Issue.7 , pp. 959-972
    • Petersen, I.R.1    James, M.R.2
  • 15
    • 0028497130 scopus 로고
    • Optimal guaranteed cost control and filtering for uncertain linear systems
    • [PM] I. R. Petersen and D. C. McFarlane, Optimal guaranteed cost control and filtering for uncertain linear systems, IEEE Trans. Automat. Control 39(9) (1994), 1971-1977.
    • (1994) IEEE Trans. Automat. Control , vol.39 , Issue.9 , pp. 1971-1977
    • Petersen, I.R.1    McFarlane, D.C.2
  • 17
    • 0028493644 scopus 로고
    • The equivalence between infinite-horizon optimal control of stochastic systems with exponential-of-integral performance index and stochastic differential games
    • [R] T. Runolfsson, The equivalence between infinite-horizon optimal control of stochastic systems with exponential-of-integral performance index and stochastic differential games, IEEE Trans. Automat. Control 39(8) (1994), 1551-1563.
    • (1994) IEEE Trans. Automat. Control , vol.39 , Issue.8 , pp. 1551-1563
    • Runolfsson, T.1
  • 18
    • 0029403333 scopus 로고
    • A method for robust stabilization related to the Popov stability criterion
    • A. V. Savkin and I. R. Petersen, A method for robust stabilization related to the Popov stability criterion, Internat. J. Control 62(5) (1995), 1105-1115.
    • (1995) Internat. J. Control , vol.62 , Issue.5 , pp. 1105-1115
    • Savkin, A.V.1    Petersen, I.R.2
  • 19
    • 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, Internat. J. Robust Nonlinear Control 5(1995), 119-137.
    • (1995) Internat. J. Robust Nonlinear Control , vol.5 , pp. 119-137
    • Savkin, A.V.1    Petersen, I.R.2
  • 20
    • 0029236784 scopus 로고
    • Nonlinear versus linear control in the absolute stabilizability of uncertain systems with structured uncertainty
    • A. V. Savkin and I. R. Petersen, Nonlinear versus linear control in the absolute stabilizability of uncertain systems with structured uncertainty, IEEE Trans. Automat. Control 40(1) (1995), 122-127.
    • (1995) IEEE Trans. Automat. Control , vol.40 , Issue.1 , pp. 122-127
    • Savkin, A.V.1    Petersen, I.R.2
  • 21
    • 0029357127 scopus 로고
    • Structured dissipativeness and absolute stability of nonlinear systems
    • A. V. Savkin and I. R. Petersen, Structured dissipativeness and absolute stability of nonlinear systems, Internat. J. Control 62(2) (1995), 443-460.
    • (1995) Internat. J. Control , vol.62 , Issue.2 , pp. 443-460
    • Savkin, A.V.1    Petersen, I.R.2
  • 24
  • 25
    • 0001175776 scopus 로고
    • A recurring theorem about pairs of quadratic forms and extensions: A survey
    • [U] F. Uhlig, A recurring theorem about pairs of quadratic forms and extensions: a survey, Linear Algebra Appl 25(1979), 219-237.
    • (1979) Linear Algebra Appl , vol.25 , pp. 219-237
    • Uhlig, F.1
  • 26
    • 0002182464 scopus 로고
    • The S-procedure in nonlinear control theory
    • V. A. Yakubovich, The S-procedure in nonlinear control theory, Vestnik Leningrad Univ. Mat. Mekh. Astronom, no. 1 (1971), 62-77, English transl. in Vestnik Leningrad Univ. Math. 4(1971) 73-93.
    • (1971) Vestnik Leningrad Univ. Mat. Mekh. Astronom , vol.1 , pp. 62-77
    • Yakubovich, V.A.1
  • 27
    • 0345119740 scopus 로고
    • English transl.
    • V. A. Yakubovich, The S-procedure in nonlinear control theory, Vestnik Leningrad Univ. Mat. Mekh. Astronom, no. 1 (1971), 62-77, English transl. in Vestnik Leningrad Univ. Math. 4(1971) 73-93.
    • (1971) Vestnik Leningrad Univ. Math. , vol.4 , pp. 73-93
  • 28
    • 2342467955 scopus 로고
    • Abstract theory of absolute stability of nonlinear systems
    • V. A. Yakubovich, Abstract theory of absolute stability of nonlinear systems, Vestnik Leningrad Univ. Math. 13(3) (1977), 99-118.
    • (1977) Vestnik Leningrad Univ. Math. , vol.13 , Issue.3 , pp. 99-118
    • Yakubovich, V.A.1
  • 29
    • 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, Systems Control Lett. 11(1988), 221-228.
    • (1988) Systems Control Lett. , vol.11 , pp. 221-228
    • Yakubovich, V.A.1
  • 30
    • 0026895462 scopus 로고
    • Nonconvex optimization problem: The infinite-horizon linear-quadratic problem with quadratic constraints
    • V. A. Yakubovich, Nonconvex optimization problem: the infinite-horizon linear-quadratic problem with quadratic constraints, Systems Control Lett. 19(1992), 13-22.
    • (1992) Systems Control Lett. , vol.19 , pp. 13-22
    • Yakubovich, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.