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

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2 Author(s)
Fadali, M.S. ; Dept. of Electr. Eng. & Comput. Sci., Nevada Univ., Reno, NV, USA ; Gnanasekaran, R.

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

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Circuits and Systems, IEEE Transactions on  (Volume:36 ,  Issue: 6 )