Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling

This technical note is concerned with the sampled-data synchronization control problem for a class of dynamical networks. The sampling period considered here is assumed to be time-varying that switches between two different values in a random way with given probability. The addressed synchronization...

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Veröffentlicht in:IEEE transactions on automatic control Jg. 57; H. 10; S. 2644 - 2650
Hauptverfasser: Shen, Bo, Wang, Zidong, Liu, Xiaohui
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York, NY IEEE 01.10.2012
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Applied sciences
Computer programs
Computer science; control theory; systems
Control system synthesis
Control systems
Control theory. Systems
Couplings
Detection, estimation, filtering, equalization, prediction
Dynamical networks
Educational institutions
Electronic mail
Exact sciences and technology
Gronwall's inequality
Inequalities
Inequality
Information, signal and communications theory
Jenson integral inequality
Linear matrix inequalities
Mathematical models
Networks
Probabilistic logic
sampled-data control
Sampling
Signal and communications theory
Signal, noise
stochastic sampling
Studies
Switching theory
Synchronism
Synchronization
synchronization control
Telecommunications and information theory
stochastic sampling
Sampled system
Probabilistic approach
Stabilization
Lyapunov method
Control synthesis
Multiple delay
Matrix inequality
Exponential stability
Synchronization
Modeling
Gronwall's inequality
Dynamical networks
sampled-data control
Digital control
Time varying system
Sampling theory
Jenson integral inequality
synchronization control
Efficiency
Complex network
Integral equation
Sampling
Lyapunov function
ISSN:0018-9286, 1558-2523
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Zusammenfassung:This technical note is concerned with the sampled-data synchronization control problem for a class of dynamical networks. The sampling period considered here is assumed to be time-varying that switches between two different values in a random way with given probability. The addressed synchronization control problem is first formulated as an exponentially mean-square stabilization problem for a new class of dynamical networks that involve both the multiple probabilistic interval delays (MPIDs) and the sector-bounded nonlinearities (SBNs). Then, a novel Lyapunov functional is constructed to obtain sufficient conditions under which the dynamical network is exponentially mean-square stable. Both Gronwall's inequality and Jenson integral inequality are utilized to substantially simplify the derivation of the main results. Subsequently, a set of sampled-data synchronization controllers is designed in terms of the solution to certain matrix inequalities that can be solved effectively by using available software. Finally, a numerical simulation example is employed to show the effectiveness of the proposed sampled-data synchronization control scheme.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2012.2190179