(Answered)-8.13 The stability condition for the linear, autonomous, second-order difference equation is that...

Description

Solution download


Question

8.13     The stability condition for the linear, autonomous, second-order difference equation is that the roots of the characteristic equation s2 − φ1s − φ2 = 0 lie inside the unit circle, i.e. have modulus strictly less than unity; recall Theorem 8.4.1. Show that each of the following is equivalent to this condition. (a) |φ1| 1 − φ2 and −φ2 1. (b) The roots of the lag polynomial associated with the difference equation, i.e. the solutions of φ(z) = 1 − φ1 z − φ2 z2 = 0, lie outside the unit circle, i.e. have modulus strictly greater than unity.  

 

Solution ID:10137796 | Question answered on 16-Oct-2016

Price : $14.649999999999999
SiteLock

Order New Solution. Quick Turnaround

Click on the button below in order to Order for a New, Original and High-Quality Essay Solutions. New orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.

Order Now