메뉴 건너뛰기




Volumn 197, Issue 2, 1996, Pages 608-629

Stabilization and random linear regulator problem for random linear control processes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0029684697     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0042     Document Type: Article
Times cited : (13)

References (28)
  • 1
    • 0003190051 scopus 로고
    • On a characteristic class entering in a quantum condition
    • 1. V. Arnold, On a characteristic class entering in a quantum condition, Funct. Anal. Appl. 1 (1969), 1-14.
    • (1969) Funct. Anal. Appl. , vol.1 , pp. 1-14
    • Arnold, V.1
  • 2
    • 0019397561 scopus 로고
    • Detectability and stabilizability of time-varying discrete time linear systems
    • 2. B. Anderson and J. Moore, Detectability and stabilizability of time-varying discrete time linear systems, SIAM J. Control Optim. 19, No. 1 (1981), 20-32.
    • (1981) SIAM J. Control Optim. , vol.19 , Issue.1 , pp. 20-32
    • Anderson, B.1    Moore, J.2
  • 3
    • 0020269321 scopus 로고
    • Uniform controllability via limiting systems
    • 3. Z. Artstein, Uniform controllability via limiting systems, Appl. Math. Optim. 9 (1982), 111-131.
    • (1982) Appl. Math. Optim. , vol.9 , pp. 111-131
    • Artstein, Z.1
  • 5
    • 0027626240 scopus 로고
    • Kalman filtering with random coefficients and contraction
    • 5. P. Bougerol, Kalman filtering with random coefficients and contraction, SIAM J. Control Optim. 31, No. 4 (1993), 942-959.
    • (1993) SIAM J. Control Optim. , vol.31 , Issue.4 , pp. 942-959
    • Bougerol, P.1
  • 7
    • 0018503421 scopus 로고
    • A direct way to stabilize continuous time and discrete time linear time varying systems
    • 7. V. Cheng, A direct way to stabilize continuous time and discrete time linear time varying systems, IEEE Trans. Automat. Control AC-24 (1979), 641-643.
    • (1979) IEEE Trans. Automat. Control , vol.AC-24 , pp. 641-643
    • Cheng, V.1
  • 8
    • 0003262604 scopus 로고
    • Isolated invariant sets and the morse index
    • SIAM, Philadelphia
    • 8. C. Conley, "Isolated Invariant Sets and the Morse Index," CBMS Regional Conference Series in Mathematics, Vol. 38, SIAM, Philadelphia, 1978.
    • (1978) CBMS Regional Conference Series in Mathematics , vol.38
    • Conley, C.1
  • 9
    • 0002709196 scopus 로고
    • Dichotomies in stability theory
    • Springer-Verlag, Heidelberg
    • 9. W. Coppel, "Dichotomies in Stability Theory," Lecture Notes in Mathematics, Vol. 629, Springer-Verlag, Heidelberg, 1978.
    • (1978) Lecture Notes in Mathematics , vol.629
    • Coppel, W.1
  • 10
    • 0023346518 scopus 로고
    • Synthesis of optimal control for an infinite dimensional periodic problem
    • 10. G. DaPrato, Synthesis of optimal control for an infinite dimensional periodic problem, SIAM J. Control Optim. 25 (1987), 706-714.
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 706-714
    • DaPrato, G.1
  • 11
    • 0025400974 scopus 로고
    • Quadratic control for linear time varying systems
    • 11. G. DaPrato and A. Ichikawa, Quadratic control for linear time varying systems, SIAM J. Control Optim. 28, No. 2 (1990), 359-381.
    • (1990) SIAM J. Control Optim. , vol.28 , Issue.2 , pp. 359-381
    • DaPrato, G.1    Ichikawa, A.2
  • 12
    • 0018495942 scopus 로고
    • The Riccati integral equation for optimal control problem on Hilbert spaces
    • 12. I. Gibson, The Riccati integral equation for optimal control problem on Hilbert spaces, SIAM J. Control Optim. 17 (1979), 537-565.
    • (1979) SIAM J. Control Optim. , vol.17 , pp. 537-565
    • Gibson, I.1
  • 14
    • 0015431590 scopus 로고
    • Stabilization of linear systems
    • 14. M. Ikeda, H. Maeda, and S. Kodama, Stabilization of linear systems, SIAM J. Control 10 (1972), 716-729.
    • (1972) SIAM J. Control , vol.10 , pp. 716-729
    • Ikeda, M.1    Maeda, H.2    Kodama, S.3
  • 15
    • 0000809966 scopus 로고
    • m-Functions and Floquet exponents for linear differential systems
    • 15. R. Johnson, m-Functions and Floquet exponents for linear differential systems, Ann. Mat. Pura Appl. 147 (1987), 211-248.
    • (1987) Ann. Mat. Pura Appl. , vol.147 , pp. 211-248
    • Johnson, R.1
  • 16
    • 0001557925 scopus 로고
    • On null controllability of linear systems with recurrent coefficients and constrained controls
    • 16. R. Johnson and M. Nerurkar, On null controllability of linear systems with recurrent coefficients and constrained controls, J. Dynamics Differential Equations 4, No. 2 (1992), 259-273.
    • (1992) J. Dynamics Differential Equations , vol.4 , Issue.2 , pp. 259-273
    • Johnson, R.1    Nerurkar, M.2
  • 17
    • 0000098357 scopus 로고
    • Exponential dichotomy and rotation number for linear hamiltonian systems
    • 17. R. Johnson and M. Nerurkar, Exponential dichotomy and rotation number for linear Hamiltonian systems, J. Differential Equations 108 (1994), 201-216.
    • (1994) J. Differential Equations , vol.108 , pp. 201-216
    • Johnson, R.1    Nerurkar, M.2
  • 18
    • 0000816854 scopus 로고
    • Null controllability of linear systems with positive Lyapunov exponents
    • (K. Elworthy and W. Everitt, Eds.), Dekker, New York
    • 18. R. Johnson and M. Nerurkar, Null controllability of linear systems with positive Lyapunov exponents, in "Differential Equations, Dynamical Systems and Control Science;" (K. Elworthy and W. Everitt, Eds.), pp. 605-621, Dekker, New York, 1994.
    • (1994) Differential Equations, Dynamical Systems and Control Science , pp. 605-621
    • Johnson, R.1    Nerurkar, M.2
  • 20
    • 0000011589 scopus 로고
    • Contributions to the theory of optimal control
    • 20. R. Kaman, Contributions to the theory of optimal control, Bull. Soc. Math. Mex. 5 (1960), 102-119.
    • (1960) Bull. Soc. Math. Mex. , vol.5 , pp. 102-119
    • Kaman, R.1
  • 22
    • 0017549069 scopus 로고
    • A modified quadratic cost problem and feedback stabilization of linear systems
    • 22. W. Kwon and A. Pearson, A modified quadratic cost problem and feedback stabilization of linear systems, IEEE Trans. Automat. Control AC-22 (1977), 838-842.
    • (1977) IEEE Trans. Automat. Control , vol.AC-22 , pp. 838-842
    • Kwon, W.1    Pearson, A.2
  • 25
    • 0001116188 scopus 로고
    • Two linear systems criteria for exponential dichotomy
    • 25. K. Palmer, Two linear systems criteria for exponential dichotomy, Ann. Mat. Pura Appl. 124 (1980). 199-216.
    • (1980) Ann. Mat. Pura Appl. , vol.124 , pp. 199-216
    • Palmer, K.1
  • 27
    • 49349126301 scopus 로고
    • A spectral theory for linear differential systems
    • 27. R. Sacker and G. Sell, A spectral theory for linear differential systems, J. Differential Equations 27 (1978), 320-358.
    • (1978) J. Differential Equations , vol.27 , pp. 320-358
    • Sacker, R.1    Sell, G.2
  • 28
    • 0001731171 scopus 로고
    • Smoothness of integral manifolds
    • 28. Y.-F. Yi, Smoothness of integral manifolds, J. Differential Equations 102 (1993), 153-187.
    • (1993) J. Differential Equations , vol.102 , pp. 153-187
    • Yi, Y.-F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.