Methods and Applications of Analysis
Volume 17 (2010)
Inverse Problems for Nonlinear Delay Systems
Pages: 331 – 356
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.
Nonlinear delay systems; inverse problems; uncertainty; computational methods
2010 Mathematics Subject Classification
34C55, 34G20, 34K06, 34K28, 34K29, 93C10