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Next, we discusses the stability for system (2.1).
end{aligned} (4.10) From the above discussion, we can get the following result about the stability for system (1.3a - 1.3d 1.3a - 1.3d
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Indispensably, these functions can provide the stability for the system of networked relationships to function optimally (Castells 2009).
Hence finding the vertex-Lyapunov function (V_{k}(e_{k},t)) is a key point in the study of the stability for the system (2.4).
Sufficient conditions have been proposed to guarantee the stability for neutral systems (see e.g. [14 18]).
Recently, Burton [18] has successfully extended the fixed point theorem to study the stability for deterministic systems.
Therefore, it is necessary to study the stability for stochastic systems without the linear growth condition or the one-side linear growth condition.
Recently, a Wirtinger-based integral inequality was presented by Seuret and Gouaisbaut in [1], and it was applied to analyze the stability for delayed systems.
In the following theorem, a sufficient condition is derived so as to guarantee the asymptotic stability for system (33).
In this section, we establish conditions of the exponential stability for system (4) by constructing a suitable Lyapunov function.
In [18, 19], the method based on the Lyapunov function is used to study the stability for fractional-order system.
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