Left Half-Plane
A series of small games about control
THE LEFT HALF-PLANE
Where stable things live

Off, chaos. On, it stands up.

Off → on is the whole story: chaos, calm, swing-up, balance. The full lab, with knobs, is on the homepage.
The games

A score is a cost, in the units the system lives in, and lower is better. The textbook plays in the same world, next to you; the world changes at midnight; every plant hides something its manual left out. Runs stay in your browser.

The name

Where stable things live

Every linear system responds as a sum of modes shaped like est. The numbers s are its poles; left of the imaginary axis they decay, on it they ring, to the right they grow. Feedback is the art of moving poles into the left half-plane, cheaply, and keeping them there when the world turns out to differ from the model. The card, with the picture.