In the context of the characteristic polynomial of a differential equation or difference equation, a polynomial is said to be stable if either: all its roots lie in the open left half-plane, or all its roots lie in the open unit disk. The first condition provides stability for continuous-time linear systems, and the second case relates to stability of discrete-time linear systems.
In the context of the characteristic polynomial of a differential equation or difference equation, a polynomial is said to be stable if either: all its roots lie in the open left half-plane, or all its roots lie in the open unit disk. The first condition provides stability for continuous-time linear systems, and the second case relates to stability of discrete-time linear systems.
Source: Wikipedia "Stable polynomial" · CC BY-SA 4.0
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