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Periodicity, almost periodicity for time scales and related functions

Chao Wang, Ravi P. Agarwal, Donal O’Regan (2016)

Nonautonomous Dynamical Systems

In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made. Furthermore, we introduce a new concept of periodic time scales in which the invariance for a time scale is dependent on an translation direction. Also some new results on periodic and changing-periodic time scales are presented.

Practical Stability in Terms of Two Measures for Hybrid Dynamic Systems

Shurong Sun, Zhenlai Han, Elvan Akin-Bohner, Ping Zhao (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

We study hybrid dynamic systems on time scales. Using Lyapunov-like functions, we obtain sufficient conditions for practical stability and strict practical stability in terms of two measures for hybrid dynamic systems on time scales.

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