Synchronization of interconnected systems with an input-output approach. Part I: Main results

Author

Scardovi, L. ; Arcak, M. ; Sontag, E.D.

Author_Institution

Dept. of Mech. & Aerosp. Eng., Princeton Univ., Princeton, NJ, USA

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

609

Lastpage

614

Abstract

This paper provides synchronization conditions for networks of nonlinear systems, where each component of the network itself consists of subsystems represented as operators in the extended L₂ space. The synchronization conditions are provided by combining the input-output properties of the subsystems with information about the structure of network. The work is motivated by cellular networks where signaling occurs both internally, through interactions of species, and externally, through intercellular signaling. The companion paper explores results for state-space models as well as biochemical applications.

Keywords

input-output stability; interconnected systems; nonlinear systems; state-space methods; synchronisation; cellular networks; input-output approach; intercellular signaling; interconnected system synchronization; network subsystems; nonlinear system network; state-space models; Aerodynamics; Biological system modeling; Control theory; Interconnected systems; Land mobile radio cellular systems; Mechanical factors; Nonlinear systems; Physics; Stability; Systems biology;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400531

Filename

5400531