메뉴 건너뛰기




Volumn 45, Issue 4, 2009, Pages 1038-1045

H∞ functional filtering for stochastic bilinear systems with multiplicative noises

Author keywords

Bilinear system; LMI; Multiplicative noise; Quadratic Lyapunov function; Reduced order H filter; Stochastic differential equation; Wiener process

Indexed keywords

DIFFERENTIAL EQUATIONS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MEASUREMENT THEORY; PHASE NOISE; RANDOM PROCESSES; STOCHASTIC CONTROL SYSTEMS; TELECOMMUNICATION NETWORKS;

EID: 61849095300     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2008.11.027     Document Type: Article
Times cited : (20)

References (24)
  • 1
    • 0033683643 scopus 로고    scopus 로고
    • A new suboptimal approach to the filtering problem for bilinear stochastic differential systems
    • Carravetta F., Germani A., and Shuakayev M.K. A new suboptimal approach to the filtering problem for bilinear stochastic differential systems. SIAM Journal on Control and Optimization 38 (2000) 1171-1203
    • (2000) SIAM Journal on Control and Optimization , vol.38 , pp. 1171-1203
    • Carravetta, F.1    Germani, A.2    Shuakayev, M.K.3
  • 2
    • 0032273932 scopus 로고    scopus 로고
    • Optimal linear finite-dimensional filtering for vector bilinear stochastic differential systems
    • Carravetta, F., & Germani, A. (1998). Optimal linear finite-dimensional filtering for vector bilinear stochastic differential systems. In Proc. IEEE Conf. Decision & Contr.
    • (1998) Proc. IEEE Conf. Decision & Contr
    • Carravetta, F.1    Germani, A.2
  • 3
    • 0034187715 scopus 로고    scopus 로고
    • Existence and design of functional observers for linear systems
    • Darouach M. Existence and design of functional observers for linear systems. IEEE Transactions on Automatic Control 45 (2000) 940-943
    • (2000) IEEE Transactions on Automatic Control , vol.45 , pp. 940-943
    • Darouach, M.1
  • 4
    • 12344295643 scopus 로고    scopus 로고
    • Suboptimal control for the bilinear quadratic regulator problem: Application to the activated sludge process
    • Ekman M. Suboptimal control for the bilinear quadratic regulator problem: Application to the activated sludge process. IEEE Transactions on Control Systems Technology 13 (2005) 162-168
    • (2005) IEEE Transactions on Control Systems Technology , vol.13 , pp. 162-168
    • Ekman, M.1
  • 5
    • 0036806186 scopus 로고    scopus 로고
    • Linear filtering for bilinear stochastic differential systems with unknown inputs
    • Germani A., Manes C., and Palumbo P. Linear filtering for bilinear stochastic differential systems with unknown inputs. IEEE Transactions on Automatic Control 47 (2002) 1726-1730
    • (2002) IEEE Transactions on Automatic Control , vol.47 , pp. 1726-1730
    • Germani, A.1    Manes, C.2    Palumbo, P.3
  • 12
    • 0014445822 scopus 로고
    • A survey of stability of stochastic systems
    • Kozin F. A survey of stability of stochastic systems. Automatica 5 (1969) 95-112
    • (1969) Automatica , vol.5 , pp. 95-112
    • Kozin, F.1
  • 16
    • 0028513919 scopus 로고
    • A disturbance accommodating estimator for bilinear systems
    • Saif M. A disturbance accommodating estimator for bilinear systems. Control Theory and Advanced Technology 3 (1994) 431-446
    • (1994) Control Theory and Advanced Technology , vol.3 , pp. 431-446
    • Saif, M.1
  • 18
    • 84899069977 scopus 로고    scopus 로고
    • ∞ filtering of signals subjected to multiplicative white noise
    • World Congress
    • ∞ filtering of signals subjected to multiplicative white noise. In Proc. Triennal IFAC World Congress
    • (2002) Proc. Triennal IFAC
    • Stoica, A.1
  • 19
    • 0032166520 scopus 로고    scopus 로고
    • ∞ control in the presence of stochastic uncertainty
    • ∞ control in the presence of stochastic uncertainty. International Journal of Control 71 (1998) 219-237
    • (1998) International Journal of Control , vol.71 , pp. 219-237
    • Ugrinovskii, V.1
  • 20
    • 0032690853 scopus 로고    scopus 로고
    • Absolute stabilization and minimax optimal control of uncertain systems with stochastic uncertainty
    • Ugrinovskii V., and Petersen I.P. Absolute stabilization and minimax optimal control of uncertain systems with stochastic uncertainty. SIAM Journal on Control Optimization 37 (1999) 1089-1122
    • (1999) SIAM Journal on Control Optimization , vol.37 , pp. 1089-1122
    • Ugrinovskii, V.1    Petersen, I.P.2
  • 21
    • 0026910256 scopus 로고
    • Robust control of a class of uncertain nonlinear systems
    • Wang Y., Xie L., and De Souza C.E. Robust control of a class of uncertain nonlinear systems. Systems & Control Letters 19 (1992) 139-149
    • (1992) Systems & Control Letters , vol.19 , pp. 139-149
    • Wang, Y.1    Xie, L.2    De Souza, C.E.3
  • 22
    • 1642457422 scopus 로고
    • Feedback stability for stochastic systems with state and control dependent noise
    • Willems J., and Willems J.C. Feedback stability for stochastic systems with state and control dependent noise. Automatica 12 (1976) 277-283
    • (1976) Automatica , vol.12 , pp. 277-283
    • Willems, J.1    Willems, J.C.2
  • 24
    • 0037364879 scopus 로고    scopus 로고
    • ∞ filtering for uncertain impulsive stochastic systems under sampled measurements
    • ∞ filtering for uncertain impulsive stochastic systems under sampled measurements. Automatica 39 (2003) 509-516
    • (2003) Automatica , vol.39 , pp. 509-516
    • Xu, S.1    Chen, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.