Input-output Hamiltonian systems and neural signal processing

M. A. Belabbas, R. W. Brockett

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Motivated by problems arising in neuroscience, we investigate properties of a class of nonlinear finite dimensional systems whose characteristic responses are pulselike traveling waves. With a view toward investigating their signal processing capabilities, we develop suitable input-output structures for these systems and show that they are, in fact, Hamiltonian relative to a suitable symplectic structure. The Hamiltonian structure provides a way to keep track of the energy flow and to study the effects of parasitic dissipation. In this framework, we develop an effective theory of interconnection, network structures, etc. This leads to a signal processing formalism in which the primary mode of communication is through pulses.

Original languageEnglish (US)
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Pages3351-3356
Number of pages6
StatePublished - Dec 1 2006
Externally publishedYes
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: Dec 13 2006Dec 15 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
CountryUnited States
CitySan Diego, CA
Period12/13/0612/15/06

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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  • Cite this

    Belabbas, M. A., & Brockett, R. W. (2006). Input-output Hamiltonian systems and neural signal processing. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 3351-3356). [4177704] (Proceedings of the IEEE Conference on Decision and Control).