Control of time delay linear systems with Gaussian white noise

Probabilistic Engineering Mechanics

Volumn 12, Issue 2, 1997, Pages 89-96

  Grigoriu, Mircea ^a  

^a Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; LYAPUNOV METHODS; OPTIMAL CONTROL SYSTEMS; SPURIOUS SIGNAL NOISE; STATISTICS; SYSTEM STABILITY; WHITE NOISE;

RANDOM TIME DELAY; RECURRENCE FORMULAS; STATE VECTORS;

LINEAR CONTROL SYSTEMS;

EID: 0031125702     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0266-8920(96)00028-8     Document Type: Article

References (12)

1. Soong, T. T. and Grigoriu, M., Random Vibration of Mechanical and Structural Systems. Prentice Hall, Englewood Cliffs, NJ, 1993.
2. Malek-Zavarei, M. and Jamshidi, M., Time-Delay Systems Analysis, Optimization and Applications. North-Holland, New York, 1987.
3. Halanay, A. and Wexler, D., Teoria Calitativã a Systemelor cu Impulsuri. Editura Academiei Republicii Socialiste Romania, Bucuresti, 1968.
4. Halanay, A., Differential Equations. Stability, Oscillations, Time Lags. Academic Press, New York, 1966.
5. Kuo, B. C., Automatic Control Systems. Prentice Hall, Englewood Cliffs, NJ, 1987.
6. Grigoriu, M., Applied Non-Gaussian Processes. Examples, Theory, Simulation, Linear Random Vibration, and MATLAB Solutions. Prentice Hall, Englewood Cliffs, NJ, 1995.
7. Dyke, S. J., Spencer Jr, B. F. and Kaspari Jr, D. C., Experimental verification of acceleration feedback control strategies for MDOF structures. In Computational Stochastic Mechanics, ed. P. D. Spanos. Balkema, Rotterdam, 1995, pp. 137-148.
8. ∞ control for seismic-excited buildings with acceleration feedback. Journal of Engineering Mechanics, 1985, 121(9), 994-1002.
9. Soong, T. T., Active Structural Control: Theory and Practice. Longman Scientific & Technical, New York, 1990.
10. Brockwell, P. J. and Davis, R. A., Time Series: Theory and Methods. Springer-Verlag, New York, 1987.
11. Oseledec, Y. I., A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems. Transactions of the Moscow Mathematical Society, 1968, 19, 197-231.
12. Poirion, F., Almost sure stability of linear dynamic systems with random delays. In Computational Stochastic Mechanics, ed. P. D. Spanos. Balkema, Rotterdam, 1995, pp. 173-181.