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# Roots & Stability

The location of the **roots of the characteristic equation** (poles) determines whether a system is stable.

## Continuous-Time Systems (s-plane)

For a system with characteristic

neighbors

envelope chinese_casual (AB)envelope code_caret (AB)envelope code_haskell_alt (AB)envelope code_pipe_pipe (AB)envelope de_oder (AB)envelope en_arrow (BA)envelope en_bare_or (AB)envelope en_bare_or_q (BA)anchor view all 60 cells across efforts × anchors