Walsh function analysis of 2-D generalized continuous systems

Author

Lewis, F.L. ; Marszalek, W. ; Mertzios, B.G.

Author_Institution

Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

35

Issue

10

fYear

1990

fDate

10/1/1990 12:00:00 AM

Firstpage

1140

Lastpage

1144

Abstract

The importance of the generalized or singular 2D continuous systems are demonstrated by showing their use in the solution of partial differential equations in two variables. A technique is presented for solving these systems in terms of Walsh functions. The method replaces the solution of a two-variable partial differential equation with the solution of a linear algebraic generalized 2D Sylvester equation. An efficient technique for the recursive solution of the latter equation is offered. All the results apply also in the usual Roesser 2D state-space case

Keywords

Walsh functions; linear algebra; multidimensional systems; partial differential equations; state-space methods; 2D Sylvester equation; 2D continuous systems; Roesser 2D state-space; Walsh functions; linear algebra; partial differential equations; Application software; Automatic control; Boundary value problems; Continuous time systems; Control systems; Design optimization; Jacobian matrices; Partial differential equations; Robust control; Stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.58557

Filename

58557