Necessary and sufficient conditions are obtained for the stability of the following second order linear system:  
x˙=θ(t)x,θ(t)=θt+i=1lTi
and  
θ(t) =A1,0<t<T1
 
=A2,T1<t<T1+T2
 
 
=Al,i=1l1Ti<t<i=1lTi
in terms of the eigenvalues and elements of the matrices Ai, i = 1, 2…l. The conditions become very simple for the case that l = 2. An example of a pendulum with a vibrating support is included.
This content is only available via PDF.
You do not currently have access to this content.