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# Stability ↔ Roots of the Characteristic Equation

The stability of a linear system is determined by **where the roots (poles) of its characteristic equation lie**.

## Continuous-Time Systems (s-pla

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_bare_or (AB)envelope en_bare_or_q (BA)envelope en_pipe (AB)anchor view all 60 cells across efforts × anchors