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Uniform asymptotic stability of impulsive discrete systems with time delay

โœ Scribed by Xinzhi Liu; Zhigang Zhang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
263 KB
Volume
74
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

This paper studies impulsive discrete systems with time delay. Some novel criteria on uniform asymptotic stability are established by using the method of Lyapunov functions and the Razumikhin-type technique. Examples are presented to illustrate the criteria.

๐Ÿ“œ SIMILAR VOLUMES

Uniform stability and ISS of discrete-ti
Uniform stability and ISS of discrete-time impulsive hybrid systems
โœ Bin Liu; David J. Hill ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier ๐ŸŒ English โš– 449 KB

This paper studies the uniform stability and ISS (input-to-state stability) properties for DIHS (discrete-time impulsive hybrid systems) via comparison approach. By employing the vector-value function, the comparison principle is established for DIHS with external inputs. Then the comparison princip