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Volumn 342, Issue 2, 2005, Pages 161-174

On the estimation of the covariance of the continuous multiplicative systems

Author keywords

Covariance; Matrix bound; Multiplicative system

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; ESTIMATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; RICCATI EQUATIONS; STOCHASTIC PROGRAMMING; VECTORS;

EID: 10444290559     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2004.08.009     Document Type: Article
Times cited : (3)

References (18)
  • 2
    • 0742276094 scopus 로고
    • Optimal projection equations for reduced-order modeling, estimation, and control of linear systems with multiplicative white noise
    • D.S. Bernistein, and D.C. Hyland Optimal projection equations for reduced-order modeling, estimation, and control of linear systems with multiplicative white noise J. Optimiz. Theory Appl. 58 1988 387 409
    • (1988) J. Optimiz. Theory Appl. , vol.58 , pp. 387-409
    • Bernistein, D.S.1    Hyland, D.C.2
  • 3
    • 0023596788 scopus 로고
    • Robust static and dynamic output feedback stabilization: Deterministic and stochastic perspectives
    • D.S. Bernistein Robust static and dynamic output feedback stabilization deterministic and stochastic perspectives IEEE Trans. Autom. Control 32 1987 1076 1084
    • (1987) IEEE Trans. Autom. Control , vol.32 , pp. 1076-1084
    • Bernistein, D.S.1
  • 4
    • 0027239302 scopus 로고
    • Trace bounds on the covariances of continuous-time systems with multiplicative noise
    • V.S. Kouikoglou, and Y.A. Phillis Trace bounds on the covariances of continuous-time systems with multiplicative noise IEEE Trans. Autom. Control 38 1993 138 142
    • (1993) IEEE Trans. Autom. Control , vol.38 , pp. 138-142
    • Kouikoglou, V.S.1    Phillis, Y.A.2
  • 5
    • 0043130088 scopus 로고    scopus 로고
    • Eigenvalue bounds on the solutions of the coupled Lyapunov and Riccati equations
    • V.S. Kouikoglou, and N.C. Tsourveloudis Eigenvalue bounds on the solutions of the coupled Lyapunov and Riccati equations Linear Algebra Appl. 235 1996 247 259
    • (1996) Linear Algebra Appl. , vol.235 , pp. 247-259
    • Kouikoglou, V.S.1    Tsourveloudis, N.C.2
  • 6
    • 84904770738 scopus 로고
    • Design of stabilizing controller with incomplete data for linear stochastic systems with multiplicative noise
    • G.N. Milshtein Design of stabilizing controller with incomplete data for linear stochastic systems with multiplicative noise Autom. Remote Control 39 1982 653 659
    • (1982) Autom. Remote Control , vol.39 , pp. 653-659
    • Milshtein, G.N.1
  • 7
    • 85012805414 scopus 로고
    • Algorithms for systems with multiplicative noise
    • Y.A. Phillis Algorithms for systems with multiplicative noise Control Dyn. Syst. Part 3 30 1989 65 81
    • (1989) Control Dyn. Syst. Part , vol.330 , pp. 65-81
    • Phillis, Y.A.1
  • 8
    • 0024751306 scopus 로고
    • Estimation and control of systems with unknown covariance and multiplicative noise
    • Y.A. Phillis Estimation and control of systems with unknown covariance and multiplicative noise IEEE Trans. Autom. Control 34 1989 1075 1078
    • (1989) IEEE Trans. Autom. Control , vol.34 , pp. 1075-1078
    • Phillis, Y.A.1
  • 9
    • 0020707190 scopus 로고
    • A priori bound for optimal stochastic control problem with multiplicative noise
    • E. Yaz A priori bound for optimal stochastic control problem with multiplicative noise Electron. Lett. 19 1983 137 139
    • (1983) Electron. Lett. , vol.19 , pp. 137-139
    • Yaz, E.1
  • 10
    • 0036642648 scopus 로고    scopus 로고
    • Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations
    • H.H. Choi, and T.Y. Kuc Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations Automatica 38 2002 1147 1152
    • (2002) Automatica , vol.38 , pp. 1147-1152
    • Choi, H.H.1    Kuc, T.Y.2
  • 11
    • 0030846963 scopus 로고    scopus 로고
    • New results for the bounds of the solution for the continuous Riccati and Lyapunov equations
    • C.H. Lee New results for the bounds of the solution for the continuous Riccati and Lyapunov equations IEEE Trans. Autom. Control 42 1997 118 123
    • (1997) IEEE Trans. Autom. Control , vol.42 , pp. 118-123
    • Lee, C.H.1
  • 12
    • 0042382883 scopus 로고    scopus 로고
    • Solution bounds of the continuous Riccati matrix equation
    • C.H. Lee Solution bounds of the continuous Riccati matrix equation IEEE Trans. Autom. Control 48 2003 1409 1413
    • (2003) IEEE Trans. Autom. Control , vol.48 , pp. 1409-1413
    • Lee, C.H.1
  • 13
    • 10444277796 scopus 로고    scopus 로고
    • New matrix solution bounds of the continuous Lyapunov equation
    • revised.
    • C.H. Lee, New matrix solution bounds of the continuous Lyapunov equation, Automatica (2003), revised.
    • (2003) Automatica
    • Lee, C.H.1
  • 14
    • 0032206178 scopus 로고    scopus 로고
    • Simple stabilizability criteria and memoryless state feedback control design for time-delay systems with time-varying perturbations
    • C.H. Lee Simple stabilizability criteria and memoryless state feedback control design for time-delay systems with time-varying perturbations IEEE Trans. Circuits Syst.-I 45 1998 1121 1125
    • (1998) IEEE Trans. Circuits Syst.-I , vol.45 , pp. 1121-1125
    • Lee, C.H.1
  • 15
    • 0027668155 scopus 로고
    • A new approach for the robust stability of perturbed systems with a class of non-commensurate time delays
    • C.H. Lee, T.-H.S. Li, and F.C. Kung A new approach for the robust stability of perturbed systems with a class of non-commensurate time delays IEEE Trans. Circuits Syst.-I 40 1993 605 608
    • (1993) IEEE Trans. Circuits Syst.-I , vol.40 , pp. 605-608
    • Lee, C.H.1    Li, T.-H.S.2    Kung, F.C.3
  • 16
    • 0021373893 scopus 로고
    • A brief summary of the bounds on the solution of the algebraic equations in control theory
    • T. Mori, and I.A. Derese A brief summary of the bounds on the solution of the algebraic equations in control theory Int. J. Control 39 1984 247 256
    • (1984) Int. J. Control , vol.39 , pp. 247-256
    • Mori, T.1    Derese, I.A.2
  • 17
    • 84950962048 scopus 로고
    • Extreme properties of eigenvalues of a Hermitian transformation and singular values of the sum and product of linear transformation
    • A.R. Amir-Moez Extreme properties of eigenvalues of a Hermitian transformation and singular values of the sum and product of linear transformation Duke Math. J. 23 1956 463 467
    • (1956) Duke Math. J. , vol.23 , pp. 463-467
    • Amir-Moez, A.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.