Methods and Applications of Analysis

Inverse Problems for Nonlinear Delay Systems

H. T. Banks, Keri Rehm, and Karyn Sutton

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Abstract

We consider inverse or parameter estimation problems for general nonlinear nonautonomous dynamical systems with delays. The parameters may be from a Euclidean set as usual, may be time dependent coefficients or may be probability distributions across a population as arise in aggregate data problems. Theoretical convergence results for finite dimensional approximations to the systems are given. Several examples are used to illustrate the ideas and computational results that demonstrate efficacy of the approximations are presented.

Article information

Source
Methods Appl. Anal., Volume 17, Number 4 (2010), 331-356.

Dates
First available in Project Euclid: 24 May 2011

Permanent link to this document
https://projecteuclid.org/euclid.maa/1306249556

Mathematical Reviews number (MathSciNet)
MR2800556

Zentralblatt MATH identifier
1222.34091

Subjects
Primary: 34C55: Hysteresis 34K06: Linear functional-differential equations 34K28: Numerical approximation of solutions 34K29: Inverse problems 34G20: Nonlinear equations [See also 47Hxx, 47Jxx] 93C10: Nonlinear systems

Keywords
Nonlinear delay systems inverse problems uncertainty computational methods

Citation

Banks, H. T.; Rehm, Keri; Sutton, Karyn. Inverse Problems for Nonlinear Delay Systems. Methods Appl. Anal. 17 (2010), no. 4, 331--356. https://projecteuclid.org/euclid.maa/1306249556


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