Title :
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
fDate :
6/1/1989 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
