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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th-cmuir.6653943832-453382018-01-24T06:08:47Z Globally exponential stability of a certain neutral differential equation with time-varying delays Panuwat Keadnarmol Thaned Rojsiraphisal 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 f 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. 2018-01-24T06:08:47Z 2018-01-24T06:08:47Z 2014-01-01 Journal 16871847 16871839 2-s2.0-84899503307 10.1186/1687-1847-2014-32 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84899503307&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45338 |
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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 o f 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. |
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Journal |
| author |
Panuwat Keadnarmol Thaned Rojsiraphisal |
| spellingShingle |
Panuwat Keadnarmol Thaned Rojsiraphisal Globally exponential stability of a certain neutral differential equation with time-varying delays |
| author_facet |
Panuwat Keadnarmol Thaned Rojsiraphisal |
| author_sort |
Panuwat Keadnarmol |
| 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 |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84899503307&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45338 |
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