For Engineers · State-Space Phase Portrait
State-Space Phase Portrait for a line-follower
Built for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed. Simulate a line-follower live below — adjust the inputs and watch it respond, right in your browser.
State-Space Phase PortraitLive
the shape of a linear system
Controls
Presets
A linear state-space system ẋ = Ax has a character set by the eigenvalues of A. Negative real parts spiral or decay to the origin (stable); positive parts fly outward; imaginary parts add rotation. The phase portrait reveals it all at a glance. Educational tool.
Data Inspector
Trace / Det-0.30 / 1.00
Eigenvalues-0.15 ± 0.99j
Classificationstable spiral
Governing equation
Reading this result: Complex eigenvalues with negative real part: trajectories spiral inward, oscillating while decaying to the origin — a stable, ringing system.
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
Also for:StudentsResearchersEducatorsHobbyists & MakersK-12 StudentsFirst RespondersGeneral version →
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Frequently asked questions
- Is this good for engineers?
- Yes — this version of "State-Space Phase Portrait for a line-follower" is framed for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.