Accession Number:

ADA160225

Title:

On Structure Determination for Polynomial Input-Output Differential Systems,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF ENGINEERING

Personal Author(s):

Report Date:

1985-03-13

Pagination or Media Count:

10.0

Abstract:

The problem of structure determination for a deterministic class of polynomial input-output differential systems is formulated as a minimum norm-discrete time optimal control problem. The order of the differential equation and the degrees of the polynomials involving the input-output variables play the role of multiple discrete-times while the coefficient parameters play the role of a discrete control variable. The basis of the parameter identification techniques is Shinbrots method of moment functionals using linear combinations of commensurable sinusoids as the modulating functions. Given the system input-output data on a finite time interval, the underlying computations involve calculating a finite set of Fourier series coefficients or moments formed from the data, which can be efficiently carried out via and FFT algorithm, followed by a sequence of singularity tests performed on a controllability type Gram determinant that arises for the formulation.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE