Learn More
In 1.1 , the given real sequences {pn}, {qn} satisfy pn T pn > 0, qn T qn for any n ∈ Z, f : Z×R → R is continuous in the second variable, and f n T, z f n, z for a given positive integer T and for all n, z ∈ Z×R. −1 δ −1, δ > 0, and δ is the ratio of odd positive integers. By a solution of 1.1 , we mean a real sequence x {xn}, n ∈ Z, satisfying 1.1 . In 1,(More)
Gene expression is the central process in cells, and is stochastic in nature. In this work, we study the mean expression level of, and the expression noise in, a population of isogenic cells, assuming that transcription is activated by two sequential exponential processes of rates κ and λ. We find that the mean expression level often displays oscillatory(More)
Recommended by Jianshe Yu It is supposed that the fractional difference equation xn 1 μ ∑k j 0ajxn−j / λ ∑k j 0bjxn−j , n 0, 1, . . . , has an equilibrium point x̂ and is exposed to additive stochastic perturbations type of σ xn − x̂ ξn 1 that are directly proportional to the deviation of the system state xn from the equilibrium point x̂. It is shown that(More)
This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems.(More)