In this paper we introduce b− open, b− closed, quasi b− open, quasi b − closed, strongly b − open and strongly b − closed functions and investigate properties and characterizations of these new types of functions.

To achieve the soft-switching condition and stabilize the output voltage of quasi-resonant converters, the paper proposes a double closed-loop control method (DCCM). In the inner loop, soft-switching is guaranteed with the off-time of the switch determined by the zero-crossing signal of the switching voltage. In the outer loop, the output voltage is regulated to be constant against load variati...

It is unprovable that every complete subalgebra of a countably closed complete Boolean algebra is countably closed. Introduction. A partially ordered set (P,<) is σ-closed if every countable chain in P has a lower bound. A complete Boolean algebra B is countably closed if (B, <) has a dense subset that is σ-closed. In [2] the first author introduced a weaker condition for Boolean algebras, game...

We present a framework to study control systems with feedback loops closed over wireless communication links. We show the choice of communication parameters can greatly affect the performance of such systems. The trade-offs of data rate, time delay and packet loss in the communication link layer design are illustrated with a numerical example of an inverted pendulum. Packet loss is shown to sig...

Control of soft-bodied systems is challenging, as the absence of rigidity typically implies distributed deformations and infinite degrees-of-freedom. In this paper, we demonstrate closedloop control of three elastomer beams that vary in bending stiffness. The most stiff beam is comprised of a single prismatic structure made from a single elastomer. In the next beam, increased flexibility is int...

For the data projection r and noise estimation e, we can get the closed-form solutions for them respectively, as shown in Algorithm 1.1. In particular, the closed-form solution to a projection to 1-ball in updating e involves a soft thresholding operator S λ [·] Hale et al. (2008), which is defined as:

K. T. Atanassov, ?Intuitionistic fuzzy sets?, Fuzzy Sets and Systems, 20(1986), 87-96. S. S. Benchalli and Jenifer J. Karnel, ?On fuzzy b open sets in fuzzy topological spaces?, J. Comp. & Math. Sci, 1(2010), 127 – 134. C. L. Chang, ?Fuzzy topological spaces?, J. Math. Anal. Appl, 24(1968), 182-190. D. Coker, ?An introduction to intuitionistic fuzzy topological spaces?, Fuzzy Sets and Systems, ...