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Stability analysis and stabilization of uncertain two-dimensional discrete systems: an LMI approach

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2 Author(s)
Du, C. ; Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore ; Xie, L.

The authors consider the problem of robust stability analysis and stabilization of uncertain two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (LSS) model. Sufficient conditions for the uncertain 2-D discrete systems to be robustly stable are given in terms of linear matrix inequalities (LMI's). The LMI approach is also introduced to solve the robust stabilization problem of the uncertain 2-D systems via static-state feedback. Furthermore, sufficient conditions for the 2-D uncertain systems to be free of overflow oscillations under a saturation arithmetic are established

Published in:

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:46 ,  Issue: 11 )

Date of Publication:

Nov 1999

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