Synchronization of Interconnected Systems With Applications to Biochemical Networks: An Input-Output Approach

This paper provides synchronization conditions for networks of nonlinear systems. The components of the network (referred to as "compartments" in this paper) are made up of an identical interconnection of subsystems, each represented as an operator in an extended L 2 space and referred to...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on automatic control Jg. 55; H. 6; S. 1367 - 1379
Hauptverfasser: Scardovi, Luca, Arcak, Murat, Sontag, Eduardo D
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York, NY IEEE 01.06.2010
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Analytical, structural and metabolic biochemistry
Applied sciences
Biochemistry
Biological and medical sciences
Combinatorics
Combinatorics. Ordered structures
Compartments
Computer science; control theory; systems
Control theory
Dynamical systems
Exact sciences and technology
Fundamental and applied biological sciences. Psychology
General and theoretical biochemistry
Graph theory
Information retrieval. Graph
Information technology
input-output stability
Interconnected systems
Interconnection
Land mobile radio cellular systems
Mathematics
Networks
Nonlinear dynamics and nonlinear dynamical systems
Nonlinear systems
Oscillators
Physics
Sciences and techniques of general use
Stability
Statistical physics, thermodynamics, and nonlinear dynamical systems
Synchronism
Synchronization
Synchronization ; coupled oscillators
Systems biology
Theoretical computing
Input output
Network structure
Input-output stability
Coupled oscillator
Modular system
Interconnected power system
Non linear control
L2 approximation
Biochemistry
State space
Cell network
Graph theory
State space method
Synchronization
Non linear system
Modeling
nonlinear systems
Information structure
interconnected systems
ISSN:0018-9286, 1558-2523
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper provides synchronization conditions for networks of nonlinear systems. The components of the network (referred to as "compartments" in this paper) are made up of an identical interconnection of subsystems, each represented as an operator in an extended L 2 space and referred to as a "species." The compartments are, in turn, coupled through a diffusion-like term among the respective species. The synchronization conditions are provided by combining the input-output properties of the subsystems with information about the structure of the network. The paper also explores results for state-space models, as well as biochemical applications. The work is motivated by cellular networks where signaling occurs both internally, through interactions of species, and externally, through intercellular signaling. The theory is illustrated by providing synchronization conditions for networks of Goodwin oscillators.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ObjectType-Article-2
ObjectType-Feature-1
content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2010.2041974