General observers for discrete-time nonlinear systems |
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| Institution: | Department of Mathematics Indian Institute of Technology Kanpur-208 016, Uttar Pradesh, India |
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| Abstract: | This paper is a geometric study of finding general exponential observers for discrete-time nonlinear systems. Using center manifold theory for maps, we derive necessary and sufficient conditions for general exponential observers for Lyapunov stable discrete-time nonlinear systems. As an application of our characterization of general exponential observers, we give a construction procedure for identity exponential observers for discrete-time nonlinear systems. |
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