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1. Observability and Observer for Dynamical Systems
2. Background on Differential Geometry
3. Observer Normal Form with Output Injection
4. Observer Normal Form with Output Injection with Output Diffeomorphism
5. Observer Normal Form by Means of Extended Dynamics
6. Output-Depending Observer Normal Form
7. Extension to Nonlinear Partially Observable Dynamical Systems
8. Extension to Nonlinear Dynamical Systems With Multiple Outputs
9. Extension to Nonlinear Singular Dynamical Systems.

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