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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
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| Online Access: | 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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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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. |
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