Abstract: This letter studies global exponential stabilisation of a limit cycle of interest for discrete-time switched nonlinear systems, in which the subsystems may have different equilibria. As a ...

ABSTRACT: This in virtue of the notion of likelihood ratio and the tool of moment generating function, the limit properties of the sequences of random discrete random variables are studied, and a ...

Abstract: Computing the rate-distortion function for continuous sources is commonly regarded as a standard continuous optimization problem. When numerically addressing this problem, a typical approach ...

Abstract Let μ1, μ2, … be a sequence of positive Borel measures on ℝ each of which is supported on a set having no finite limit points. Suppose the sequence μn weakly converges to a Borel measure ν.

Atsuji has internally characterized those metric spaces X for which each real-valued continuous function on X is uniformly continuous as follows: (1) the set X' of limit points of X is compact, and (2 ...

Split a mile in half, you get half a mile. Split the half mile, you get a quarter, and on and on, until you’ve carved out a length far smaller than the diameter of an atom. Can this slicing continue ...