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Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol.

Park MJ, Kwon OM, Cha EJ - ScientificWorldJournal (2015)

Bottom Line: This paper proposes a new consensus criterion for nonlinear complex systems with edge betweenness centrality measure.By construction of a suitable Lyapunov-Krasovskii functional, the consensus criterion for such systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms.One numerical example is given to illustrate the effectiveness of the proposed methods.

View Article: PubMed Central - PubMed

Affiliation: School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea.

ABSTRACT
This paper proposes a new consensus criterion for nonlinear complex systems with edge betweenness centrality measure. By construction of a suitable Lyapunov-Krasovskii functional, the consensus criterion for such systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.

No MeSH data available.


Time-varying sampling.
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Related In: Results  -  Collection


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fig2: Time-varying sampling.

Mentions: The consensus protocol (6) is assumed to be generated by using a zero-order-hold function with a sequence of hold times 0 = t0 < t1 < ⋯<tk < ⋯. Then, the definition (7), h(t) = t − tk, is that the interval between two sampling instants is less than a given bound, hM = tk+1 − tk. Hence, (7) means the time-varying sampling drawn as shown in Figure 2. In addition to the figure, all slopes are 1.


Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol.

Park MJ, Kwon OM, Cha EJ - ScientificWorldJournal (2015)

Time-varying sampling.
© Copyright Policy - open-access
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4489014&req=5

fig2: Time-varying sampling.
Mentions: The consensus protocol (6) is assumed to be generated by using a zero-order-hold function with a sequence of hold times 0 = t0 < t1 < ⋯<tk < ⋯. Then, the definition (7), h(t) = t − tk, is that the interval between two sampling instants is less than a given bound, hM = tk+1 − tk. Hence, (7) means the time-varying sampling drawn as shown in Figure 2. In addition to the figure, all slopes are 1.

Bottom Line: This paper proposes a new consensus criterion for nonlinear complex systems with edge betweenness centrality measure.By construction of a suitable Lyapunov-Krasovskii functional, the consensus criterion for such systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms.One numerical example is given to illustrate the effectiveness of the proposed methods.

View Article: PubMed Central - PubMed

Affiliation: School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea.

ABSTRACT
This paper proposes a new consensus criterion for nonlinear complex systems with edge betweenness centrality measure. By construction of a suitable Lyapunov-Krasovskii functional, the consensus criterion for such systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.

No MeSH data available.