In this paper, regarding the delay as parameter, we investigate the effect of delay on the dynamics of a Rössler system with multiple delayed feedback proposed by Ghosh and Chowdhury. At first we consider the stability of equilibrium and the existenc...

Document(s)

Title

This paper investigates the novel sliding mode control design with state derivative output feedback in nontraditional reciprocal state space (RSS) form. The concepts and the need of RSS form are comprehensively reviewed and explained. Novel switching...

Optimal control for a family of systems in novel state derivative space form, abbreviated as SDS systems in this study, is proposed. The first step in deriving optimal control laws for SDS systems is to form an augmented cost functional. It turns out...

Augmented reality technology is applied so that driving tests may be performed in various environments using a virtual reality scenario with the ultimate goal of improving visual and interactive effects of simulated drivers. Environmental conditions ...

Multivariate statistical process control is the continuation and development of unitary statistical process control. Most multivariate statistical quality control charts are usually used (in manufacturing and service industries) to determine whether ...

Let $\mathcal{A}$ be the abelian von Neumann subalgebra $\{M_{f}: f \in L^{\infty}(\mathbb{H},\mu_{r})\}$ of $\mathcal{B}(L^{2}(\mathbb{H},\mu_{r}))$, where $\mathbb{H}$ is the upper half plane and the measure $d\mu_{r} = dx dy/y^{2-r}$. For any inte...

We show a closed Bach-flat Riemannian manifold with a fixed positive constant scalar curvature has to be locally spherical if its Weyl and traceless Ricci tensors are small in the sense of either $L^\infty$ or $L^{\frac{n}{2}}$-norm. Compared with th...

In this article, we investigate the volume comparison with respect to scalar curvature. In particular, we show volume comparison hold for small geodesic balls of metrics near $V$-static metrics. As for global results, we give volume comparison for me...

[[abstract]]對於每一個實驗單位的結果，如果我們排序它們的大小比測量它們的 實際值容易，也就是說它們外在所顯現出來的結果，讓人容易比較相對關 係，McIntyre（1952）稱它們為排序集合樣本(Ranked set sample)，並 且利用排序集合樣本取n個量測單位，構造對母體平均數的估計式，它不 但是不偏的，而且如果和簡單隨機抽樣(Simple random sample)量測樣本 數大小同樣為n的樣本平均數作比較，發現它的變異數會比較小。 在本篇論文中，我們更進一步的探討在常態...