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A converse Lyapunov theorem for discrete-time systems with disturbances

✍ Scribed by Zhong-Ping Jiang; Yuan Wang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
138 KB
Volume
45
Category
Article
ISSN
0167-6911

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✦ Synopsis

This paper presents a converse Lyapunov theorem for discrete-time systems with disturbances taking values in compact sets. Among several new stability results, it is shown that a smooth Lyapunov function exists for a family of time-varying discrete systems if these systems are robustly globally asymptotically stable.

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