Control-based method to identify underlying delays of a nonlinear dynamical system

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Oct;78(4 Pt 2):046209. doi: 10.1103/PhysRevE.78.046209. Epub 2008 Oct 20.

Abstract

We suggest several stationary state control-based delay identification methods which do not require any structural information about the controlled systems and are applicable to systems described by delayed ordinary differential equations. This proposed technique includes three steps: (i) driving a system to a steady state; (ii) perturbing the control signal for shifting the steady state; and (iii) identifying all delays by detecting the time that the system is abruptly drawn out of stationarity. Some aspects especially important for applications are discussed as well, including interaction delay identification, stationary state convergence speed, performance comparison, and the influence of noise on delay identification. Several examples are presented to illustrate the reliability and robustness of all delay identification methods suggested.

Publication types

  • Research Support, Non-U.S. Gov't