ISSN:
1573-2878
Keywords:
Spline approximation
;
energy space
;
time-delay systems
;
Ritz-Trefftz method
;
a priori error bounds
;
a posteriori error bounds
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We consider a variational procedure for approximating the solution of the state regulator problem with time delay. Motivated by a dual formulation of the problem, we introduce a positive-definite functionalF over a certain energy space of Mikhlin and obtain approximating solutions by the Ritz-Trefftz idea of minimizing it over finite-dimensional subspaces. The resulting approximating solutions, in turn, furnish suboptimal solutions which converge to the optimal solution of the regulator problem with time delay. A priori error bounds in terms of splines are given. A posteriori error bounds are also obtained.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00934500
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