Methods and Applications of Analysis

Inverse Problems for Nonlinear Delay Systems

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

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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

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

First available in Project Euclid: 24 May 2011

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Nonlinear delay systems inverse problems uncertainty computational methods


Banks, H. T.; Rehm, Keri; Sutton, Karyn. Inverse Problems for Nonlinear Delay Systems. Methods Appl. Anal. 17 (2010), no. 4, 331--356.

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