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Topic:
Simple Difference Equation problem
Replies:
2
Last Post:
Jul 17, 2014 9:37 PM




Re: Simple Difference Equation problem
Posted:
Jul 17, 2014 8:03 PM


In article <7d74bcc5412e49058906510c9061c0aa@googlegroups.com>, gyansorova@gmail.com wrote:
> Consider a simple scalar nonlinear difference equation > > x(n+1)=x(n)mu.x(n)^2+ mu.u > > where u is a positive constant input (say unity or whatever) and mu is > selected for stability. > > The equilibrium point is when x(n+1)=x(n) giving > > x*=sqrt(u)  take positive root only here and assume mu>0. > > Linearise and we get > > x(n+1)=a.x(n)+mu.u > > where a=12.mu.sqrt(u)
I'm no expert at this, but why is that 2 there? Could it be that
a = 1  mu.sqrt(u) ?
Ken Pledger.



