(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...)
 
Line 1: Line 1:
 
== 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' and
+
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.'

Definition of an Unstable System

Alumni Liaison

Recent Math PhD now doing a post-doctorate at UC Riverside.

Kuei-Nuan Lin