In this paper, the adaptive control design is investigated for chaos synchronization of two identical hyperchaotic Liu systems. First, an law with inputs proposed based on Lyapunov stability theory. Secondly, other schemes are obtained a further analysis law. Finally, numerical simulations presented to validate effectiveness and correctness these results.

Liu process is an uncertain process with stationary and independent increments. Multi-dimensional uncertain differential equation is a type of differential equation driven by multi-dimensional Liu process to model a multidimensional dynamic system. This paper aims at proposing a definition of stability in mean for multi-dimensional uncertain differential equations. Then a stability theorem for ...

We discuss the gain in signal-to-noise ratio (SNR) recently reported by Liu et al. [Phys. Rev. E 63, 051912 (2001)] in the Hodgkin-Huxley neuronal model. We show first that the possibility of signal-to-noise ratio enhancements can be checked by consideration of the statistical characteristics of switching between the system states, and we examine how the SNR depends on the shape of a periodic s...

Multicollinearity in logistic regression affects the variance of the maximum likelihood estimator negatively. In this study, Liu-type estimators are used to reduce the variance and overcome the multicollinearity by applying some existing ridge regression estimators to the case of logistic regression model. A Monte Carlo simulation is given to evaluate the performances of these estimators when t...

• Basic (discrete) model – Set Γ of n independent, periodic tasks τ1,..., τn; – with periods Ti, deadlines Di, worst-case computation times Ci, and phasing φi; – where Di ≤ Ti, and {Ti, Di, Ci} ∈ Z+; – arbitrary phasings. • Necessary (but insufficient) test for Γ: – Liu & Layland: Un = ∑j≤n Cj/Tj ≤ 1 • Sufficient (but unnecessary) test for Γ for RM: – Liu & Layland (LL(n)): Un ≤ n(21/n – 1) – B...

Last time we discussed the Chow-Liu algorithm, which uses mutual information estimation to learn the best tree graphical model representing data. Recall that, in each iteration, the Chow-Liu algorithm greedily adds an edge between the pair of unconnected variables exhibiting the greatest (estimated) mutual information. Because we only add edges between unconnected variables, (unconditional) mut...

Research Article Liping Liu The University of Akron [email protected] Chan Li The University of Pittsburgh [email protected] Dan Zhu Iowa State University [email protected] This paper examines the concept of the nomological validity of secondand/or higher-order measurement models. It also proposes a new approach that consists of measuring two validity indices — predictive and mediating efficiencies...

Signcryption is a cryptographic primitive which can offer simultaneously security requirements of confidentiality and authentication, and is more efficient than the traditional sign-then-encrypt way. Recently, Liu et al. proposed the first certificateless signcryption scheme in the standard model. However, their scheme is proved to have some security weaknesses. In this paper, we propose a corr...

Outliers and multi-collinearity often have large influence in the model/variable selection process in linear regression analysis. To investigate this combined problem of multi-collinearity and outliers, we studied and compared Liu-type S (liuS-estimators) and Liu-type Least Trimmed Squares (liuLTS) estimators as robust model selection criteria. Therefore, the main goal this study is to select s...