Abstract
The stability and Lp-gain (p∈{1,∞}) analysis problems are investigated for positive linear systems on arbitrary time scales in this paper. Firstly, by virtue of the linear copositive Lyapunov function, the uniform stability and uniformly exponential stability conditions are presented for positive linear time-varying systems on time scales. Then, we conclude that the uniformly exponential stability condition of positive linear time-invariant systems is independent of time scales. Meanwhile, it is further proved that the Lp-gain (p∈{1,∞}) conditions of these systems are also independent of time scales and can be fully characterized by system matrices. Finally, a numerical example is given to demonstrate the validity of our conclusions.
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