Event triggered reliable synchronization of semi-Markovian jumping complex dynamical networks via generalized integral inequalities
Event triggered reliable synchronization of semi-Markovian jumping complex dynamical networks via generalized integral inequalities
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DOI：
10.1016/j.jfranklin.2018.01.050
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发表时间：
2018-05
期刊：
影响因子：
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通讯作者：
K. Sivaranjani;R. Rakkiyappan;R. Rakkiyappan;Y. Joo
中科院分区：
文献类型：
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作者：
K. Sivaranjani;R. Rakkiyappan;R. Rakkiyappan;Y. Joo
研究了具有时变耦合时滞的半马尔可夫跳跃复杂动态网络在执行器失效情况下的同步问题。为了缩小对网络资源的处理，提出了事件触发控制策略来实现同步判据。通过构造Lyapunov-Krasovski泛函，借助一般积分不等式，得到了保证CDN同步的时滞相关准则。值得注意的是，这里使用的一般积分不等式比Jensen不等式、基于Wirtinger的不等式、Bessel-Legendre不等式、基于Wirtinger的二重积分不等式和基于辅助函数的积分不等式更一般。在现有软件的帮助下，可以很容易地验证所得到的LMI。最后，给出了仿真结果，验证了一般积分不等式和所设计控制律的有效性。
This paper focuses on the synchronization problem of semi-Markovian jumping complex dynamical networks with time-varying coupling delays against actuator failures. In an aim to shrink the treatment of network resources event triggered control strategy is proposed to achieve the synchronization criteria. By constructing Lyapunov–Krasovski functional, some delay dependent criteria that assures the synchronization of CDN are derived with the help of the general integral inequalities. It should be noted that the general integral inequality used here is general than that of Jensen inequality, the Wirtinger-based inequality, the Bessel-Legendre inequality, the Wirtinger-based double integral inequality, and the auxiliary function-based integral inequalities. The resulting LMIs can be easily verified with the help of the available softwares. Finally, simulation results are proposed to verify the effectiveness of the general integral inequality and designed control law.