Normal matrices and their stability properties: application to 2-D system stabilization

Author

Fadali, M.S. ; Gnanasekaran, R.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Nevada Univ., Reno, NV, USA

Volume

36

Issue

6

fYear

1989

fDate

6/1/1989 12:00:00 AM

Firstpage

873

Lastpage

875

Abstract

An approach is presented to 2-D system stabilization by constant state feedback that is based on assigning a closed-loop matrix that is two-dimensionally (2-D) similar to a stable normal matrix. First, it is shown that for normal matrices the sufficient Lyapunov stability condition is also necessary and that 1-D and 2-D BIBO stabilities are equivalent. Next, sufficient conditions or 2-D stabilization by constant state feedback are given where the closed-loop system matrix is 2-D similar to a normal matrix. Finally, the method is applied to two examples

Keywords

Lyapunov methods; closed loop systems; feedback; matrix algebra; multidimensional systems; stability; stability criteria; BIBO stabilities; Lyapunov stability condition; closed-loop matrix; closed-loop system matrix; constant state feedback; multidimensional systems; normal matrices; stability properties; Circuits and systems; Image analysis; Image processing; Linear matrix inequalities; Robust stability; State feedback; Sufficient conditions; Symmetric matrices; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.90407

Filename

90407