Some results on the convergence of weighted sums of random elements in separable Banach spaces
Iterated function systems with a weak separation condition
Nonoverlapping contractive self-similar iterated function systems (IFS) have been studied in great detail via the open set condition. On the other hand much less is known about IFS with overlaps. To deal with such systems, a weak separation condition (WSC) has been introduced recently [LN1]; it is weaker than the open set condition and it includes many important overlapping cases. This paper has two purposes. First, we consider the class of self-similar measures generated by such IFS; we give a...
A note on convergence of weighted sums of random variables.
Fixed-time tracking control for nonholonomic mobile robot
This paper investigates the fixed-time trajectory tracking control problem for a nonholonomic mobile robot. Firstly, the tracking error system is derived for the mobile robot by the aid of a global invertible transformation. Then, based on the unified error dynamics and by using the fixed-time control method, continuous fixed-time tracking controllers are developed for the mobile robot such that the robot can track the desired trajectory in a fixed time. Moreover, the settling time is independent...
A note on almost sure central limit theorem in the joint version for the maxima and sums.
A class of generalized filled functions for unconstrained global optimization.
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