Area aggregation and time scale modeling for sparse nonlinear networks

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 4046-4051

  Biyik, Emrah ^a   Arcak, Murat ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Area aggregation; Cooperative control; Large scale systems; Singular perturbation; Sparse networks

Indexed keywords

APPROXIMATION THEORY; LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; PERTURBATION TECHNIQUES;

AREA AGGREGATION; COOPERATIVE CONTROL; SINGULAR PERTURBATION; SPARSE NETWORKS; TIME SCALE MODELING;

NONLINEAR NETWORKS;

EID: 39649090913     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.376913     Document Type: Conference Paper

References (18)

1. J. H. Chow (ed.). Time Scale Modelling of Dynamic Networks with Applications to Power Systems (Lecture Notes in Control and Information Sciences, vol.46). Springer-Verlag: New York, 1982.
2. H. A. Simon and A. Ando. Aggregation of variables in dynamic systems, Econometrica, vol. 29, pp. 111-138, 1961.
3. K. W Kohn. Molecular interaction map of the mammalian cell cycle control and DNA repair systems. Molecular Biology of the Cell, vol. 10, 2703-2734, 1999.
4. S. H. Strogatz. Exploring complex networks. Nature, vol. 410, 268-276, 2001.
5. D. J. Watts and S. H. Strogatz. Collective dynamics of small-world networks. Nature, vol. 393, 440-442, 1998.
6. S. Wasserman and K. Faust. Social Network Analysis: Methods and Applications. Cambridge University Press: New York, 1994.
7. F. Zhao and L. Guibas. Wireless Sensor Networks: An Information Processing Approach. Morgan Kaufmann: San Francisco, CA, 2004.
8. S. Keshav An Engineering Approach to Computer Networking: ATM networks, the internet, and the telephone network. Addison-Wesley: Reading, MA, 1997.
9. J. H. Chow and P. V. Kokotović. Time scale modeling of sparse dynamic networks. IEEE Transactions on Automatic Control, 30(8), pp. 714-722, 1985.
10. H. K. Khalil. Nonlinear Systems. Prentice Hall: Upper Saddle River, NJ, third edition, 2002.
11. N. Biggs. Algebraic Graph Theory. Cambridge University Press, second edition, 1993.
12. M. Arcak. Passivity as a design tool for group coordination.To appear in IEEE Transactions on Automatic Control, 2006.
13. P. V. Kokotović. Subsystems, time-scales and multimodeling. Automatica, 17(6), pp. 789-795, 1981.
14. P. V. Kokotović, B. Abramovic, J. H. Chow, J.R. Winkelman. Coherency based decomposition and aggregation. Automatica, 18(1), pp. 47-56, 1982.
15. R. Skjetne, T. I. Fossen and P. V. Kokotović. Robust output maneuvering for a class of nonlinear systems. Automatica, vol. 40(3), pp.373-383, 2004.
16. J. H. Chow, J. Cullum and R. A. Willoughby. A sparsity based technique for identifying slow-coherent areas in large power systems. IEEE Transactions on Power Apparatus and Systems, PAS-103, no:3, pp. 463-473, 1984.
17. R. A. Date and J. H. Chow. Aggregation properties of linearized two-time-scale power networks. IEEE Transactions on Circuits and Systems, vol. 38(7), pp. 720-730, 1991.
18. J. M. Ortega and W. C. Rheinboldt. Iterative Solution of Nonlinear Equations in Several Variables. SIAM: Philadelphia, 2000.