From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books

---
 46/CH24/EX24.1/Example24_1.sce | 19 +++++++++++++++++++
 1 file changed, 19 insertions(+)
 create mode 100755 46/CH24/EX24.1/Example24_1.sce

(limited to '46/CH24')

diff --git a/46/CH24/EX24.1/Example24_1.sce b/46/CH24/EX24.1/Example24_1.sce
new file mode 100755
index 000000000..ef339d7e0
--- /dev/null
+++ b/46/CH24/EX24.1/Example24_1.sce
@@ -0,0 +1,19 @@
+//Example 24.1
+clc
+syms K b z w;
+Gz=K*(1-b)/(z-b)
+//where b=exp(-T/tau)
+//From Eq.(24.4)
+z=w+1/w-1;
+Gz=eval(Gz)
+disp('=0',1+Gz,'1+G(z)=')
+//which is equivalent to
+disp('(K+1)*(1-b)*w+(1+b)-K(1-b)=0')
+routh=[(K+1)*(1-b);(1+b)-K*(1-b)]
+//b is always positive and less than one and K is positive
+//The first element in the array is positive
+//For stability, the Routh test requires that all elements of the first column be positive
+//Therefore,
+disp('>0',routh(2,1))
+disp('K<(1+b)/(1-b)')
+
-- 
cgit