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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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3 results for “forward-flatness”

Duality of Geometric Tests for Forward-Flatnessmath.OC

Two geometric tests for forward-flatness are shown to be dual.

problem Checking forward-flatness in discrete-time systems.

method Two geometric tests based on involutive distributions and integrable codistributions.

result The two tests are dual to each other.

forward-flatness discrete-time systems geometric tests duality

2024-08-20abs ↗pdf ↗

A Dual Geometric Test for Forward-Flatnessmath.OC

A new dual test for forward-flatness simplifies computations.

problem Checking forward-flatness in discrete-time systems.

method A unique sequence of integrable codistributions.

result Computational efficiency and comparison with dynamic feedback linearization.

forward-flatness discrete-time systems codistributions Lie derivatives static feedback linearization

2024-04-03abs ↗pdf ↗

A Trajectory-Based Approach to Discrete-Time Flatnessmath.DG

Extended flatness approach for discrete-time systems considers forward and backward shifts.

problem Defining flatness for discrete-time systems with forward-shifts.

method Introducing backward-shifts to extend flatness definition.

result Extended flat systems maintain key properties like reachability and controllability.

discrete-time systems flatness forward-shifts backward-shifts trajectory-based approach

2020-12-15abs ↗pdf ↗