Mathematics - General News

Novel robust-optimal controllers based on fuzzy descriptor system

 Mathematics - General News
 08 April 2024
The Takagi--Sugeno (T--S) fuzzy descriptor system offers a promising avenue for controlling non-linear systems but lacks optimal control strategies. Moreover, while robust control methods have been developed, they add additional complexity. To address these limitations, a team of researchers has...

Method rapidly verifies that a robot will avoid collisions

 Mathematics - General News
 07 March 2024
A new safety-check technique can prove with 100 percent accuracy that a planned robot motion will not result in a collision. The method can generate a proof in seconds and does so in a way that can be easily verified by a human....

Drawings of mathematical problems predict their resolution

 Mathematics - General News
 07 March 2024
Solving arithmetic problems, even simple subtractions, involves mental representations whose influence remains to be clarified. Visualizing these representations would enable us to better understand our reasoning and adapt our teaching methods. A team has now analyzed drawings made by children and...

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