Globally exponential stability of a certain neutral differential equation with time-varying delays
In this paper, an improved globally exponential stability criterion of a certain neutral delayed differential equation with time-varying of the form d dt [x(t) + px(t - τ (t))] = -ax(t) + b tanh x(t - Σ (t)) has been proposed in the form of linear matrix inequality. We first propose an upper bound o...
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2014
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th-cmuir.6653943832-48502014-08-30T02:55:52Z Globally exponential stability of a certain neutral differential equation with time-varying delays Keadnarmol P. Rojsiraphisal T. In this paper, an improved globally exponential stability criterion of a certain neutral delayed differential equation with time-varying of the form d dt [x(t) + px(t - τ (t))] = -ax(t) + b tanh x(t - Σ (t)) has been proposed in the form of linear matrix inequality. We first propose an upper bound of the solution in terms of an exponential function. Then we apply Lyapunov functions, a descriptor form, the Leibniz-Newton formula and radially unboundedness to formulate the sufficient criterion. To show the effectiveness of the proposed criterion, four numerical examples are presented. © 2014 Keadnarmol and Rojsiraphisal; licensee Springer. 2014-08-30T02:55:52Z 2014-08-30T02:55:52Z 2014 Article 16871847 10.1186/1687-1847-2014-32 http://www.scopus.com/inward/record.url?eid=2-s2.0-84899503307&partnerID=40&md5=a21d84230cb12e4af5f82727898e7747 http://cmuir.cmu.ac.th/handle/6653943832/4850 English Hindawi Publishing Corporation |
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In this paper, an improved globally exponential stability criterion of a certain neutral delayed differential equation with time-varying of the form d dt [x(t) + px(t - τ (t))] = -ax(t) + b tanh x(t - Σ (t)) has been proposed in the form of linear matrix inequality. We first propose an upper bound of the solution in terms of an exponential function. Then we apply Lyapunov functions, a descriptor form, the Leibniz-Newton formula and radially unboundedness to formulate the sufficient criterion. To show the effectiveness of the proposed criterion, four numerical examples are presented. © 2014 Keadnarmol and Rojsiraphisal; licensee Springer. |
| format |
Article |
| author |
Keadnarmol P. Rojsiraphisal T. |
| spellingShingle |
Keadnarmol P. Rojsiraphisal T. Globally exponential stability of a certain neutral differential equation with time-varying delays |
| author_facet |
Keadnarmol P. Rojsiraphisal T. |
| author_sort |
Keadnarmol P. |
| title |
Globally exponential stability of a certain neutral differential equation with time-varying delays |
| title_short |
Globally exponential stability of a certain neutral differential equation with time-varying delays |
| title_full |
Globally exponential stability of a certain neutral differential equation with time-varying delays |
| title_fullStr |
Globally exponential stability of a certain neutral differential equation with time-varying delays |
| title_full_unstemmed |
Globally exponential stability of a certain neutral differential equation with time-varying delays |
| title_sort |
globally exponential stability of a certain neutral differential equation with time-varying delays |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84899503307&partnerID=40&md5=a21d84230cb12e4af5f82727898e7747 http://cmuir.cmu.ac.th/handle/6653943832/4850 |
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