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Pfaffian constraint

Index Pfaffian constraint

In robot motion planning, a Pfaffian constraint is a set of k linearly independent constraints linear in velocity, i.e., of the form A(q) \dot q. [1]

4 relations: Constraint (mathematics), Linear independence, Motion planning, Robot.

Constraint (mathematics)

In mathematics, a constraint is a condition of an optimization problem that the solution must satisfy.

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Linear independence

In the theory of vector spaces, a set of vectors is said to be if one of the vectors in the set can be defined as a linear combination of the others; if no vector in the set can be written in this way, then the vectors are said to be.

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Motion planning

Motion planning (also known as the navigation problem or the piano mover's problem) is a term used in robotics for the process of breaking down a desired movement task into discrete motions that satisfy movement constraints and possibly optimize some aspect of the movement.

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Robot

A robot is a machine—especially one programmable by a computer— capable of carrying out a complex series of actions automatically.

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References

[1] https://en.wikipedia.org/wiki/Pfaffian_constraint

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