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Volumn 89, Issue 1, 2000, Pages 49-68

Characterization of stochastic processes which stabilize linear companion form systems

Author keywords

60H10; 93E15; Integrals of stationary processes; Lyapunov exponents; Stability; Stabilization by noise; Stochastic linear systems

Indexed keywords


EID: 0042916482     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(00)00012-0     Document Type: Article
Times cited : (6)

References (22)
  • 3
    • 0039897354 scopus 로고
    • Wide sense stationary solutions of linear systems with additive noise
    • Arnold L., Wihstutz V. Wide sense stationary solutions of linear systems with additive noise. SIAM J. Control Optim. 21:1983;413-426.
    • (1983) SIAM J. Control Optim. , vol.21 , pp. 413-426
    • Arnold, L.1    Wihstutz, V.2
  • 8
    • 0001392137 scopus 로고
    • A classification of the second-order degenerate elliptic operators and its probabilistic characterization
    • Ichihara K., Kunita H. A classification of the second-order degenerate elliptic operators and its probabilistic characterization. Z. Wahrscheinlickkeitstheorie Verw. Geb. 30:1974;235-254.
    • (1974) Z. Wahrscheinlickkeitstheorie Verw. Geb. , vol.30 , pp. 235-254
    • Ichihara, K.1    Kunita, H.2
  • 9
    • 0042106712 scopus 로고
    • A classification of the second-order degenerate elliptic operators and its probabilistic characterization
    • Ichihara K., Kunita H. A classification of the second-order degenerate elliptic operators and its probabilistic characterization. Z. Wahrscheinlickkeitstheorie Verw. Geb. 39:1977;81-84.
    • (1977) Z. Wahrscheinlickkeitstheorie Verw. Geb. , vol.39 , pp. 81-84
    • Ichihara, K.1    Kunita, H.2
  • 11
    • 0012176603 scopus 로고
    • Stabilization of companion form systems by mean zero noise.
    • Kao J., Wihstutz V. Stabilization of companion form systems by mean zero noise. Stochastics Stochastic Rep. 49:1994;1-25.
    • (1994) Stochastics Stochastic Rep. , vol.49 , pp. 1-25
    • Kao, J.1    Wihstutz, V.2
  • 13
    • 0001848182 scopus 로고
    • Lyapunov indices determine absolutely continuous spectra of stationary random one-dimensional Schrödinger operators
    • In: Ito, K., (Ed.), North-Holland, Amsterdam
    • Kotani, S., 1984. Lyapunov indices determine absolutely continuous spectra of stationary random one-dimensional Schrödinger operators, In: Ito, K., (Ed.), Stochastic Analysis Proceedings of the Tamiguchi International Symposium, Katata and Kyoto, 1982, North-Holland, Amsterdam, pp. 225-247.
    • (1982) Stochastic Analysis Proceedings of the Tamiguchi International Symposium, Katata and Kyoto , pp. 225-247
    • Kotani, S.1
  • 14
    • 0019045831 scopus 로고
    • Principle of vibrational control: Theory and applications
    • Meerkov S. Principle of vibrational control: theory and applications. IEEE Trans. Automat Control. 25:1980;755-762.
    • (1980) IEEE Trans. Automat Control , vol.25 , pp. 755-762
    • Meerkov, S.1
  • 15
    • 0002297290 scopus 로고
    • The structure of eigenfunctions of one-dimensional unordered structures
    • Molchanov S.A. The structure of eigenfunctions of one-dimensional unordered structures. Math. USSR Izvestija. 12:1978;69-101.
    • (1978) Math. USSR Izvestija , vol.12 , pp. 69-101
    • Molchanov, S.A.1
  • 16
    • 0003677479 scopus 로고
    • Limit Theorems for Markov Chain Transition Probabilities, Reinhold
    • Princeton, NJ: Van Nostrand
    • Orey S. Limit Theorems for Markov Chain Transition Probabilities, Reinhold. Mathematic Studies. Vol. 34:1971;Van Nostrand, Princeton, NJ.
    • (1971) Mathematic Studies , vol.34
    • Orey, S.1
  • 17
    • 0042106711 scopus 로고
    • Stationary solutions for linear systems with additive noise
    • Orey S. Stationary solutions for linear systems with additive noise. Stochastics. 5:1981;241-252.
    • (1981) Stochastics , vol.5 , pp. 241-252
    • Orey, S.1
  • 18
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems
    • Oseledec V.I. A multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19:1968;197-231.
    • (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197-231
    • Oseledec, V.I.1
  • 19
    • 0040422811 scopus 로고
    • Asymptotic analysis of stochastic equations
    • In: Rosenblatt, M. (Ed.), Mathematical Association of America, Washington
    • Papanicolaou, G., 1978. Asymptotic analysis of stochastic equations. In: Rosenblatt, M. (Ed.), Studies in Probability Theory Studies in Mathematics, Vol. 18, Mathematical Association of America, Washington, pp. 111-179.
    • (1978) Studies in Probability Theory Studies in Mathematics , vol.18 , pp. 111-179
    • Papanicolaou, G.1
  • 20
    • 0000438813 scopus 로고
    • Lyapunov exponents and rotation number of two-dimensional linear stochastic systems with small diffusion
    • Pardoux E., Wihstutz V. Lyapunov exponents and rotation number of two-dimensional linear stochastic systems with small diffusion. SIAM J. Appl. Math. 48:1988;442-457.
    • (1988) SIAM J. Appl. Math. , vol.48 , pp. 442-457
    • Pardoux, E.1    Wihstutz, V.2
  • 21
    • 0012186526 scopus 로고
    • Lyapunov exponents of real-noise driven nilpotent systems and harmonic oscillators
    • Pinsky M., Wihstutz V. Lyapunov exponents of real-noise driven nilpotent systems and harmonic oscillators. Stochastic Stochastics Rep. 35:1991;93-110.
    • (1991) Stochastic Stochastics Rep. , vol.35 , pp. 93-110
    • Pinsky, M.1    Wihstutz, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.