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A sort of new method is put forward which is not similar to existing methods for a class of parabolic type systems with time-varying delays. By employing generalized Halanay's inequality, Dini derivative and the technique of differential inequality, a sufficient condition for the type of stabilization are derived. The stabilization criteria are delay-independent. A computation example is given to illustrate the proposed method. In addition, the distinct advantage of the method is that the criterions in the paper are easy to be checked, and can be applied in practice easily.
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Keywords:
- parabolic type system/
- Dini's derivative/
- distribute delay/
- global exponential stabilization
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