|
|
Publication
|
| Title of Article |
New delay-range-dependent exponential stability
criteria for certain neutral differential equations
with interval discrete and distributed time-varying
delays |
| Date of Acceptance |
29 November 2016 |
| Journal |
| Title of Journal |
Advances in Difference Equations |
| Standard |
ISI |
| Institute of Journal |
springer |
| ISBN/ISSN |
|
| Volume |
2016 |
| Issue |
2016 |
| Month |
|
| Year of Publication |
2016 |
| Page |
18 pages |
| Abstract |
In this research, we investigate the problem of delay-dependent exponential stability analysis for certain neutral differential equations with discrete and distributed time-varying delays. The time-varying delays are continuous functions belonging to the given interval delays, which mean that the lower and upper bounds for the time-varying delays are available. The restrictions on the derivative of interval time-varying delays are needed. Based on a class of novel augmented Lyapunov-Krasovskii functionals, a model transformation, the decomposition technique of constant coefficients, the Leibniz-Newton formula, and utilization of a zero equation, new delay-range-dependent exponential stability criteria are derived in terms of the linear matrix inequality (LMI) for the equations considered. Numerical examples suggest for the results given to illustrate the effectiveness and improvement over some existing methods. |
| Keyword |
Model Transformation, Exponential Stability, Neutral Differential Equation, Positive Real Constant, Exponential Stability Criterion |
| Author |
|
| Reviewing Status |
ไม่มีผู้ประเมินอิสระ |
| Status |
ตีพิมพ์แล้ว |
| Level of Publication |
นานาชาติ |
| citation |
false |
| Part of thesis |
true |
| Attach file |
|
| Citation |
0
|
|
|
|
|
|
|
|
|
Journal Publication
ไทย