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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

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Journal of Dynamical Systems and Geometric Theories
Open Access Article

On Practical Stability of Time Scale Perturbed Systems

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pp. 51–67Vol. 12Issue 1January 2014DOI: 10.1080/1726037X.2014.922252XML
Received:
05 Mar 2014
Accepted:
26 Apr 2014
Published Online:
02 Jan 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

Time scalesPractical stabilityUniform exponential stabilityPerturbed systemsQuadratic stability

Subject Classifications

: 34N0534D20

References

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