Graph decomposition methods for uncertainty propagation in complex, nonlinear interconnected dynamical systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2004, Pages 1794-1798

  Varigonda, Subbarao ^a   Kalmár Nágy, Tamás ^a   Labarre, Bob ^a   Mezić, Igor ^b  

^a UNITED TECHNOLOGIES RESEARCH CENTER   (United States)

^b Santa Barbara   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAOS THEORY; ITERATIVE METHODS; LARGE SCALE SYSTEMS; MARKOV PROCESSES; MONTE CARLO METHODS; NONLINEAR SYSTEMS; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS);

COMPLEX PHYSICAL SYSTEMS; GENE EXPRESSIONS; STRONGLY CONNECTED COMPONENTS (SCC); SUBSYSTEMS;

GRAPH THEORY;

EID: 14344253073     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1430306     Document Type: Conference Paper

References (12)

1. I. Mezić, "Dna clues for design of robust, flexible networks," 2004, uCSB Preprint.
2. J. Stark, R. Callard, and M. Hobank, "From the top down: towards a predictive biology of signalling networks," Trends in biotechnology, vol. 21, pp. 290-293, 2003.
3. F. M. Callier, W. S. Chan, and C. A. Desoer, "Input-output stability theory of interconnected systems using decomposition techniques," IEEE Transactions on Circuits and Systems, vol. 23, no. 12, pp. 714-729, 1976.
4. M. Dellnitz and R. Preis, Symbolic and Numerical Scientific Computation, ser. Lecture Notes in Computer Science, 2630. Springer, 2003, ch. Congestion and almost invariant sets in dynamical systems, pp. 183-209. [Online]. Available: http://math-www.upb.de/ agdellnitz/papers/congestion.ps.gz
5. J. P. Jarvis and D. R. Shier, Applied Mathematical Modeling: A Multidisciplinary Approach. CRC Press, 1999, ch. 17. Graph-Theoretic Analysis of Finite Markov Chains, pp. 271-289.
6. C. Godsil and G. Royle, Algebraic Graph Theory. Springer, 2001.
7. R. Merris, "Laplacian matrices of graphs: A survey," Linear Algebra and Its Applications, vol. 197-198, pp. 143-176, 1994.
8. M. Huzmezan and T. Kalmár-Nágy, "Propagation of uncertain inputs through networks of nonlinear components," in Proc. of the IEEE CDC, Bahamas, December 2004, (submitted).
9. I. Mezić, "Coupled nonlinear dynamical systems: Asymptotic behavior and uncertainty propagation," 2004, submitted to CDC 2004.
10. U. Lorch, "An introduction to graph algorithms," Lecture Notes, Department of Computer Science, University of Auckland, New Zealand, March 2000. [Online]. Available: http://www.cs.auckland.ac.nz/ ute/220ft/
11. J. T. Pukrushpan, A. Stefanopoulou, and S. Varigonda, "Control oriented model of an integrated fuel cell stack and fuel processor system," in Proc. of the First IFAC Symposium on Advances in Automotive Control, Univ. of Salermo, Italy, 2004 (to appear).
12. J. T. Pukrushpan, A. Stefanopoulou, H. Peng, S. Varigonda, L. M. Pedersen, and S. Ghosh, "Control of natural gas catalytic partial oxidation for hydrogen generation in fuel cell applications," IEEE Trans. Contr. Syst. Tech, (to appear).