On the Markov property for nonlinear discrete-time systems with markovian inputs

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 899-904

  Tejada, Arturo ^a   Gonzalez, Oscar R ^a   Gray, W Steven ^a  

^a Old Dominion University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; DISCRETE TIME CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING;

FINITE-STATE MARKOV CHAIN; GENERAL HYBRID SYSTEM; STABILITY ANALYSIS;

MARKOV PROCESSES;

EID: 34047221209     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. W. S. Gray, O. R. González, and M. Dǒgan, "Stability analysis of digital linear flight controllers subject to electromagnetic disturbances," IEEE Trans. Aerosp. Electron. Syst., no. 4, pp. 1204-1218, October 2000.
2. H. Blom and J. Lygeros, "Hybridge final project report," 2005. [Online]. Available: http://hosted.nlr.nl/public/hostedsites/hybridge/documents. html
3. M. H. A. Davis, Markov Models and Optimization. New York: Chapman & Hall/CRC, 1993.
4. Y. Fang and K. A. Loparo, "Stabilization of continuous-time jump linear systems," IEEE Trans. Automat. Contr., vol. 47, no. 10, pp. 1590-1603, October 2002.
5. M. Ehrhardt and Kleinman, "Controllability of linear stochastic systems," Systems & Control Letters, no. 3, pp. 145-153, 1982.
6. O. L. V. Costa, M. D. Fragoso, and R. P. Marques, Discrete-Time Markov Jump Linear Systems. London: Springer, 2005.
7. T. Morozan, "On the stability of stochastic discrete systems," in Control theory and Topics in Functional Analysis: Lectures Presented at an International Seminar Course at Trieste from 11 Sept. to 29 Nov. 1974, International Atomic Energy Agency, Vienna, 1976, pp. 225-254.
8. L. Arnold, Stochastic Differential Equations: Theory and Applications. New York: John Wiley & Sons, 1974.
9. R. Srichander and K. Walker, "Stochastic stability analysis for continuous-time fault tolerant control systems," Int. J. Control, vol. 57, no. 2, pp. 433-452, 1993.
10. L. Arnold and W. Kleinmann, "Qualitative theory of stochastic systems," in Probabilistic Analysis and Related Topics, Vol 3, A. T. Bharucha-Reid, Ed. New York: Academic Press, 1982, pp. 1-79.
11. S. Patilkulkarni, H. Herencia-Zapana, W. S. Gray, and O. R. Gonzalez, "On the stability of jump-linear systems driven by finite state machines with Markovian inputs," in Proc. of the 2004 American Control Conference, Boston, MA, 2004, pp. 2534-2539.
12. A. Tejada, O. R. Gonzalez, and W. S. Gray, "Asymptotic and mean square stability conditions for hybrid jump linear system with performance supervision," in Proc. of the 2005 American Control Conference, Portland, OR, 2005, pp. 569-574.
13. A. N. Shiryaev, Probability, Second Edition. New York: Springer, 1995.
14. P. Billingsley, Probability and Measure, Third Edition. New York: John Wiley & Sons, 1995.
15. A. Friedman, Foundations of Modern Analysis. New York: Dover Publications Inc., 1982.