Open Access
Article
On Practical Stability of Time Scale Perturbed Systems
Mohamed Ali Hammamimohamedali.hammami@fss.rnu.tnDepartment of MathematicsFaculty of Sciences of SfaxRoad of Soukra, B.P 1171Sfax, 3000, Tunisia0000-0002-9347-4525View full profile →
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- Received:
- 05 Mar 2014
- Accepted:
- 26 Apr 2014
- Published Online:
- 08 Jul 2014
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2014.922252
- Pages:
- 51–67
Abstract
This work addresses the problem of uniform practical exponential stability for nonlinear perturbed systems on time scales. Based on Lyapunov techniques and LMI's approach, new sufficient conditions are derived, to find the positive definite function which the derivative is negative definite and provides the uniform practical asymptotic aspect for the system. We present numerical examples to illustrate the proposed result.
Keywords
Subject Classifications
: 34N0534D20
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