Functional Representation of Nonlinear Systems, Interpolation and Lagrange Expansion for Functionals

[+] Author and Article Information
D. Gorman

Department of Mathematics, Washington University, St. Louis, Mo.

J. Zaborszky

School of Engineering and Applied Science, Washington University, St. Louis, Mo.

J. Basic Eng 88(2), 429-436 (Jun 01, 1966) (8 pages) doi:10.1115/1.3645875 History: Received November 15, 1964; Online November 03, 2011


The paper consists principally of three parts. In the first, an original analytic representation is introduced for systems where differential equations are available. In the second, the structure of the functional is analyzed with nonzero initial conditions. The third introduces functional representations for systems described by past measured input-output records.

Copyright © 1966 by ASME
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