Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System

المؤلفون المشاركون

Zhang, Guofeng
Ji, Zhenyi
Wu, Wenyuan
Feng, Yong

المصدر

Journal of Applied Mathematics

العدد

المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-5، 5ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2013-12-18

دولة النشر

مصر

عدد الصفحات

5

التخصصات الرئيسية

الرياضيات

الملخص EN

We propose an approach for constructing Lyapunov function in quadratic form of a differential system.

First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative.

Then, the positive polynomial system is converted into an equation system by adding some variables.

Finally, numerical technique is applied to solve the equation system.

Some experiments show the efficiency of our new algorithm.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Ji, Zhenyi& Wu, Wenyuan& Feng, Yong& Zhang, Guofeng. 2013. Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-504014

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Ji, Zhenyi…[et al.]. Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System. Journal of Applied Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-504014

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Ji, Zhenyi& Wu, Wenyuan& Feng, Yong& Zhang, Guofeng. Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-504014

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-504014