LTI Systems with Generalized Frequency Variables: A Unified Framework for Homogeneous Multi-agent Dynamical Systems

Author:

Hara Shinji1,Hayakawa Tomohisa2,Sugata Hikaru1

Affiliation:

1. Department of Information Physics and Computing, The University of Tokyo

2. Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology

Publisher

Informa UK Limited

Reference19 articles.

1. [1] M. Kawamata: On the invariance of the second-order modes of continuous-time systems under general frequency transformation, Proc. IEEE Int. Sympo. Circuits, Syst., pp. I-505-I-508, May 2003.

2. [2] S. Koshita, M. Abe, and M. Kawamata: Gramian-preserving frequency transformation for linear continuous-time state-space systems, Proc. IEEE Int. Sympo. Circuits, Syst., pp. 453-456, May 2006.

3. [3] B. T. Polyak and Y. Z. Tsypkin: Stability and robust stability of uniform system, Automation and Remote Control, Vol. 57, No. 11, pp. 1606-1617, 1996.

4. [4] J. A. Fax and R. M. Murray: Information flow and cooperative control of vehicle formations, IEEE Trans. Autom. Contr., Vol. 49, No. 9, pp. 1465-1476, 2004.

5. [5] A. Jadbabaie, J. Lin, and A. S. Morse: Coordination of groups of mobile autonomous agents using nearest neighbor rules, Physical Review Letters, Vol. 48, No. 6, pp. 988-1001, 2003.

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