Dissertation available in Neuroprose

[Dingankar]

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URL:
ftp://archive.cis.ohio-state.edu/pub/neuroprose/Thesis/dingankar.thesis.ps.Z

BiBTeX entry:
@PhdThesis{ajit-phd,
  author = 	 "Ajit Trimbak Dingankar",
  title = 	 "On Applications of Approximation Theory to
		  Identification, Control and Classification",
  school = 	 "The University of Texas at Austin",
  year = 	 1995,
  address = 	 "Austin, Texas",
}

				Abstract

	Applications of approximation theory to some problems in
identification of dynamic systems, their control, and to problems in
signal classification are studied.  First, an algorithm is given for
constructing approximations in a wide variety of settings, and a
corresponding error bound is derived.  Then weak sufficient conditions
for perfect classification of signals are studied.  Next the problem
of approximating linear functionals with certain sums of integrals is
studied, alongwith its relation to the approximation of nonlinear
functionals.  Then an approximation theoretic characterization of
continuity of nonlinear maps is given.  As another application of
function approximation, the problem of universally approximating
controllers for discrete-time continuous plants is studied.  Finally,
error bounds for approximation of functions defined on finite
dimensional Hilbert spaces are given.



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Ajit T. Dingankar			|		ajit at austin.ibm.com 
IBM Corporation, Internal Zip 4359	|		Work: (512) 838-6850
11400 Burnet Road, Austin, TX 78758	|		Fax : (512) 838-5882