(New page: == Definition of a Stable System == A system is stable if bounded inputs yield bounded outputs. This means if there is an input of x(t) which goes through a system to produce an output y...) |
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== Definition of a Stable System == | == Definition of a Stable System == | ||
− | A system is stable if bounded inputs yield bounded outputs. This means if there is an input of x(t) which goes through a system to produce an output y(t), there must be a finite value 'M' such that |x(t)| < M for all 't' | + | A system is stable if bounded inputs yield bounded outputs. This means if there is an input of x(t) which goes through a system to produce an output y(t), there must be a finite value 'M' such that |x(t)| < M and a finite value 'N' such that |y(t)| < N, for all 't.' |
== Definition of an Unstable System == | == Definition of an Unstable System == |
Revision as of 16:28, 18 September 2008
Definition of a Stable System
A system is stable if bounded inputs yield bounded outputs. This means if there is an input of x(t) which goes through a system to produce an output y(t), there must be a finite value 'M' such that |x(t)| < M and a finite value 'N' such that |y(t)| < N, for all 't.'