Cubic spline approximation techniques for parameter estimation in distributed systems

Harvey Thomas Banks, J.M. Crowley, Karl K. Kunisch · IEEE Transactions on Automatic Control · 1983

Approximation schemes employing cubic splines in the context of a linear semigroup framework are developed for both parabolic and and hyperbolic second-order partial differential equation parameter estimation problems. Convergence results are established for problems with linear and nonlinear systems, and a summary of numerical experiments with the techniques proposed is given.

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