This analysis uncovers observability conditions in discrete time nonlinear systems, indicating dual properties with controllability.
Time-varying linear and nonlinear descriptor systems of observation with discrete time are considered. In the linear case, the criteria for observability on the finite horizon are obtained, and the conditions for robust observability are found. The duality theorems linking the properties of controllability and observability are proved. For nonlinear systems, the conditions of local observability on the finite horizon are obtained, using linear approximation.
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A. A. Shcheglova (2025) studied this question.
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