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On the existence of multipliers for MIMO systems with repeated slope-restricted nonlinearities
Matthew C. Turner,Murray L. Kerr,Ian Postlethwaite 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper studies the absolute stability problem for closed-loop systems containing a known linear-timeinvariant (LTI) part and a static nonlinear element with restricted slope. LMI-based conditions which can be used to guarantee the stability of the closed-loop system are derived, based on extensions of the Zames-Falb multiplier. The paper extends previous single-input-single-output results to multiple-input-multiple-output systems. The generality of the Zames-Falb mulitiplier ensures that it is no more conservative than the Circle and Popov criteria, and sometimes dramatically less so.
A simple anti-windup compensation scheme for systems with rate-limited actuators
Jorge Sofrony,Matthew C.Turner,Postlethwaite 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper proposes a simple anti-windup scheme for linear systems which are asymptoticallys table but which have inputs which are limited in rate. The closed-loop system with these rate-limits and anti-windup compensation is proved to be globally a symptoticallys table and locally exponentiallys table. Furthermore, the L2 gain of a map which is central to the performance of the nonlinear closed-loop system is shown to befinite provided certain conditions are satisfied. One of the no table features of the proposed scheme is that it is exceptionally simple, and can be though to fas, in essence, a modified IMC anti-windup scheme.
Analysis and extension of a biochemical network model using robust control theory
Kim, J.-S.,Valeyev, N. V.,Postlethwaite, I.,Heslop-Harrison, P.,Cho, K.-H.,Bates, D. G. John Wiley Sons, Ltd. 2010 INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONT Vol.20 No.9
<P>Mathematical models of biological processes which have been observed in vivo to be highly robust to intracellular and environmental variations should themselves display appropriate levels of robustness when analysed in silico. This paper uses techniques from robust control theory to analyse and extend a mathematical model of the interacting proteins underlying adenosine 3′, 5′-cyclic monophosphate (cAMP) oscillations in aggregating Dictyostelium cells. Starting with a previously proposed ‘minimal’ model, we show how robustness analysis using the structured singular value can identify points of structural fragility in the network. By combining these results with insights from recent results from the experimental literature, we show how the original model can be augmented with some important additional modules, comprising networks involving IP<SUB>3</SUB> and Ca<SUP>2+</SUP>. By analysing the robustness of our new extended model, we are able to show that dynamic interactions between the different modules play a pivotal role in generating robust cAMP oscillations; thus, significantly improving our understanding of the design principles underlying this complex biological system. Copyright © 2009 John Wiley & Sons, Ltd.</P>
Marita C Bautista,Sheng-Fang Jiang,Mary Anne Armstrong,Debbie Postlethwaite,Dan Li 대한위암학회 2014 Journal of gastric cancer Vol.14 No.4
Purpose: Gastric cancer often occurs in the elderly but is uncommon in young individuals. Whether young patients have different clinical behaviors and outcomes from those of older patients remain unclear. Materials and Methods: We identified 1,366 cases of newly diagnosed noncardia gastric adenocarcinoma from the Kaiser Permanente Northern California Cancer Registry between 2000 and 2010. We then compared the clinicopathological features and survival amongthe different age groups. Results: The male : female ratio differed significantly between the younger and older patient groups (0.84 in age <50 years vs. 1.52>60 years, P<0.01). More younger patients were Hispanic (54% patients <40 years vs. 19% patients ≥70 years, P<0.0001), while more older patients were Caucasian (49% patients ≥70 years vs. 15% patients <40 years; P<0.0001). The diffuse/mixed histological type was more prevalent in younger patients (70% patients <40 years vs. 27% patients ≥70 years; P<0.0001), whereas the intestinal type was more frequent in older patients (71% in patients ≥70 years vs. 30% in patients <40 years; P<0.0001). Poorly differentiated adenocarcinoma was more common in the younger patients (80% in patients <40 years vs. 60% in patients ≥70 years; P=0.016). Survival rates at 1, 2, and 5 years gradually declined with increasing age (overall P=0.0002). Conclusions: Young patients with gastric cancer had more aggressive disease but higher overall survival rates than older patients. Younger Hispanic patients and older Caucasian patients were more likely to be diagnosed with gastric cancer. These differences may be due tobiological predisposition and/or environmental exposure.
Bautista, Marita C.,Jiang, Sheng-Fang,Armstrong, Mary Anne,Postlethwaite, Debbie,Li, Dan The Korean Gastric Cancer Association 2014 Journal of gastric cancer Vol.14 No.4
Purpose: Gastric cancer often occurs in the elderly but is uncommon in young individuals. Whether young patients have different clinical behaviors and outcomes from those of older patients remain unclear. Materials and Methods: We identified 1,366 cases of newly diagnosed noncardia gastric adenocarcinoma from the Kaiser Permanente Northern California Cancer Registry between 2000 and 2010. We then compared the clinicopathological features and survival among the different age groups. Results: The male : female ratio differed significantly between the younger and older patient groups (0.84 in age <50 years vs. 1.52>60 years, P<0.01). More younger patients were Hispanic (54% patients <40 years vs. 19% patients ${\geq}70$ years, P<0.0001), while more older patients were Caucasian (49% patients ${\geq}70$ years vs. 15% patients <40 years; P<0.0001). The diffuse/mixed histological type was more prevalent in younger patients (70% patients <40 years vs. 27% patients ${\geq}70$ years; P<0.0001), whereas the intestinal type was more frequent in older patients (71% in patients ${\geq}70$ years vs. 30% in patients <40 years; P<0.0001). Poorly differentiated adenocarcinoma was more common in the younger patients (80% in patients <40 years vs. 60% in patients ${\geq}70$ years; P=0.016). Survival rates at 1, 2, and 5 years gradually declined with increasing age (overall P=0.0002). Conclusions: Young patients with gastric cancer had more aggressive disease but higher overall survival rates than older patients. Younger Hispanic patients and older Caucasian patients were more likely to be diagnosed with gastric cancer. These differences may be due to biological predisposition and/or environmental exposure.