scispace - formally typeset
Search or ask a question

Showing papers by "Xing-Gang Yan published in 2011"


Proceedings ArticleDOI
01 Jan 2011
TL;DR: A sliding mode observer is proposed by employing the structure of the uncertainty such that the sliding motion associated with the error dynamics is uniformly asymptotically stable, then, based on the observer, a nonlinear discontinuous control scheme is presented to stabilise the system uniformly asynchronicly.
Abstract: In this paper, a class of nonlinear time varying delay systems is considered A sliding mode observer is proposed by employing the structure of the uncertainty such that the sliding motion associated with the error dynamics is uniformly asymptotically stable Then, based on the observer, a nonlinear discontinuous control scheme is presented to stabilise the system uniformly asymptotically The Razuminkin Lyapunov approach is used to deal with the time delay The accessible part of both the bounds and the nonlinear terms is separated and used in the control design to reduce conservatism A numerical example is given to illustrate the proposed approach

5 citations


Journal ArticleDOI
TL;DR: In this article, a detailed system model for calcium, membrane potential and cyclic nucleotide-dependent ciliary motility regulation is presented. But the model is not suitable for the analysis of human cilia motility.
Abstract: Ciliary dysfunction leads to a number of human pathologies, including primary ciliary dyskinesia, nephronophthisis, situs inversus pathology or infertility. The mechanism of cilia beating regulation is complex and despite extensive experimental characterization remains poorly understood. We develop a detailed systems model for calcium, membrane potential and cyclic nucleotide-dependent ciliary motility regulation. The model describes the intimate relationship between calcium and potassium ionic concentrations inside and outside of cilia with membrane voltage and, for the first time, describes a novel type of ciliary excitability which plays the major role in ciliary movement regulation. Our model describes a mechanism that allows ciliary excitation to be robust over a wide physiological range of extracellular ionic concentrations. The model predicts the existence of several dynamic modes of ciliary regulation, such as the generation of intraciliary Ca2+ spike with amplitude proportional to the degree of membrane depolarization, the ability to maintain stable oscillations, monostable multivibrator regimes, all of which are initiated by variability in ionic concentrations that translate into altered membrane voltage. Computational investigation of the model offers several new insights into the underlying molecular mechanisms of ciliary pathologies. According to our analysis, the reported dynamic regulatory modes can be a physiological reaction to alterations in the extracellular environment. However, modification of the dynamic modes, as a result of genetic mutations or environmental conditions, can cause a life threatening pathology.

4 citations


Journal ArticleDOI
TL;DR: In this article, a Lyapunov-Razuminkhin approach is used to develop sufficient conditions such that the sliding motion is uniformly asymptotically stable.

2 citations