Distributed Containment Control of Networked Fractional-Order Systems with Delay-Dependent Communications

المؤلفون المشاركون

Xie, Lihua
Liu, Xueliang
Xu, Bugong

المصدر

Journal of Applied Mathematics

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-13، 13ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-07-12

دولة النشر

مصر

عدد الصفحات

13

التخصصات الرئيسية

الرياضيات

الملخص EN

This paper is concerned with a containment problem of networked fractional-order system with multiple leaders under a fixed directed interaction graph.

Based on the neighbor rule, a distributed protocol is proposed in delayed communication channels.

By employing the algebraic graph theory, matrix theory, Nyquist stability theorem, and frequency domain method, it is analytically proved that the whole follower agents will flock to the convex hull which is formed by the leaders.

Furthermore, a tight upper bound on the communication time-delay that can be tolerated in the dynamic network is obtained.

As a special case, the interconnection topology under the undirected case is also discussed.

Finally, some numerical examples with simulations are presented to demonstrate the effectiveness and correctness of the theoretical results.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Liu, Xueliang& Xu, Bugong& Xie, Lihua. 2012. Distributed Containment Control of Networked Fractional-Order Systems with Delay-Dependent Communications. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993749

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Liu, Xueliang…[et al.]. Distributed Containment Control of Networked Fractional-Order Systems with Delay-Dependent Communications. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993749

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Liu, Xueliang& Xu, Bugong& Xie, Lihua. Distributed Containment Control of Networked Fractional-Order Systems with Delay-Dependent Communications. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993749

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-993749