Pinning control of weighted general complex dynamical networks with time delay

Z.X. Liu, Z.Q. Chen and Z.Z. Yuan

Physica A: Statistical Mechanics and its Applications, 2007, vol. 375, issue 1, 345-354

Abstract: Time delays commonly exist in the real world. In the present work we consider weighted general complex dynamical networks with time delay, which are undirected and connected. Control of such networks, by applying local feedback injections to a fraction of network nodes, is investigated for both continuous-time and discrete-time cases. Both delay-independent and delay-dependent asymptotical stability criteria for network stabilization are derived. It is also shown that the whole network can be stabilized by controlling only one node. The efficiency of the derived results was illustrated by numerical examples.

Keywords: Pinning control; Weighted complex dynamical networks; Time delay; Stability; Linear matrix inequality (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:375:y:2007:i:1:p:345-354

DOI: 10.1016/j.physa.2006.09.009

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