We present a generalized form of Halanay’s inequality, having time varying gain multiplying the delayed term, and constant decay rate. Unlike usual conditions where rate is required to be strictly larger than an upper bound on we provide less restrictive that allow times when can gain. include application continuous systems with switched delay values. This illustrates utility our inequality for...

todays applying concrete structures is more usual than other structures which are used in buildings as in most of the world’s countries the application ratio of concrete to steel has increased from 10 to 1. sometimes these structures require strengthening vulnerable members because of deficiency in their loading system in usual and critical conditions. there are different methods for strengthen...

The gauge transformation properties of the Skyrme--Chern-Simons (SCS) densities is studied. Two types SCS actions are identified, Type_{I} in which group smaller than largest possible one, and Type_{II} gauged with allowed group. feature only one power connection no curvature, while both curvature. Abelian turn out to be explicitly invariant non-Abelian all up a total divergence term, hence lea...

This paper and its sequel prove a generalization of the usual gluing theorem for two index 1 pseudoholomorphic curves u+ and u− in the symplectization of a contact 3-manifold. We assume that for each embedded Reeb orbit γ, the total multiplicity of the negative ends of u+ at covers of γ agrees with the total multiplicity of the positive ends of u − at covers of γ. However, unlike in the usual g...

This paper presents an ontology-based framework for repurposing learning object components. Unlike the usual practice where learning object components are assembled manually, the proposed framework enables on-the-fly access and repurposing of learning object components. The framework supports two processes: the decomposition of learning objects into their components as well as the automatic ass...

In this paper, we consider the application of the empirical likelihood method to partially linear model. Unlike the usual cases, we first propose an approximation to the residual of the model to deal with the nonparametric part so that Owen's (1990) empirical likelihood approach can be applied. Then, under quite general conditions, we prove that the empirical log-likelihood ratio statistic is a...

This paper discusses the development of a constant-Q spectrogram representation that is invertible in a least-squares sense. A good quality inverse is possible because this modified transform method, unlike the usual sliding window constant-Q spectrogram, does not discard data samples when performing the variable length discrete Fourier transforms on the signal. The development of a phase vocod...