Browse wiki

From MurrayWiki
Jump to: navigation, search
Delay-Based Approximations of Biological Systems for Analysis and Design
Abstract In this paper we explore the use of time-d …
In this paper we explore the use of time-delayed differential equation as a means of obtaining a simplified description of very high order dynamics.This paper finds results for a particular type of system, a single-input single-output (SISO) linear system with a nonlinear feedback. We begin with a high dimensional system in state space and reduce the dimension by finding a delay based approximation which could be a smaller set of integro-differential equations or DDEs. We argue that approximations of high order linear subsystems whose distribution functions have relatively smaller variance such as delta functions, give a conservative approximation of a system's stable parameter space. Through examples inspired by biology, we show how these approximations can be used to verify stability. We analyze the system's stability and robustness dependence on statistical properties, mainly relative variance and expectation for a symmetric distribution function.
ion for a symmetric distribution function.  +
Authors Marcella Gomez and Richard M. Murray  +
ID 2011l  +
Source Submitted, 2012 American Control Conference (ACC)  +
Tag gm12-acc  +
Title Delay-Based Approximations of Biological Systems for Analysis and Design +
Type Conference Paper  +
Categories Papers
Modification date
This property is a special property in this wiki.
15 May 2016 06:15:59  +
URL
This property is a special property in this wiki.
http://www.cds.caltech.edu/~murray/preprints/gm12-acc_s.pdf  +
hide properties that link here 
Delay-Based Approximations of Biological Systems for Analysis and Design + Title
 

 

Enter the name of the page to start browsing from.