Causal behavior of switched delay systems as multi-mode multi-dimensional systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 8, Issue PART 1, 2009, Pages 414-419

  Verriest, Erik I ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Delay systems; Hybrid systems; Stochastic systems

Indexed keywords

COMPUTATIONAL COMPLEXITY; DELAY CONTROL SYSTEMS; HYBRID SYSTEMS; STOCHASTIC SYSTEMS;

3D SYSTEMS; CAUSAL MODEL; DELAY SYSTEMS; KOLMOGOROV EQUATIONS; MINIMAL REPRESENTATION; MULTIDIMENSIONAL SYSTEMS; RANDOM SWITCHING; SWITCHED DELAY SYSTEMS;

POISSON EQUATION;

EID: 80051538042     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20090901-3-ro-4009.00068     Document Type: Conference Paper

References (11)

1. Branicky, M.S., Borkar, V.S., and Mitter, S. (1998). A unified framework for hybrid control theory: model and optimal control theory. IEEE Trans. Auto. Control, 43, No. 1, 31-45. (Pubitemid 128743101)
2. Brockett, R.W. (1993). Hybrid models for motion description control systems. In Essays on Control: Perspectives in the Theory and its Applications, H.L. Trentelman and J.C. Willems (Eds.), Birkhäuser.
3. Gorecki, H., Fuksa, S., Gabrowski, P. and Korytowski, A. (1989). Analysis and Synthesis of Time Delay Systems, Wiley.
4. Hale, J.K. and Verduyn Lunel, S. M. (1993). Introduction to functional differential equations, Applied Math. Sciences Series, 99, Springer-Verlag, New York.
5. Michiels,W., Van Assche, V. and Niculescu, S.-I. (2005). Stabilization of timedelay systems with a controlled, time-varying delay and applications. IEEE Transactions on Automatic Control, Vol.50, No.4, 493-504. (Pubitemid 40555771)
6. Pinsky, M.A. (1991). Lectures on Random Evolutions, World Scientific.
7. Verriest, E.I. (1994). Robust stability of time-varying systems with unknown bounded delays. Proceedings of the 33rd IEEE Conference on Decision and Control, Orlando, FL, 417-422.
8. Verriest, E.I., (2004) Finite observation in delay systems. Proceedings, 16th International Symposium on the Mathematical Theory of Networks and Systems, Leuven, Belgium, isbn: 90-5682-517-8, MP-6.4.1-11, #36.
9. Verriest, E.I., (2006) Multi-mode multi-dimensional systems Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 1268-1274.
10. Verriest, E.I., (2009) Multi-mode multi-dimensional systems with Poissonian sequencing, The Brockett Legacy Issue of Communications in Information and Systems, Vol. 9, No. 1, 77-102, 2009.
11. Verriest, E.I., and W.S. Gray, (2006) Geometry and topology of the state space via balancing, Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan, 840-848.