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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Write by hand on a piece of paper.
![①alshow that if A+AH is negative-definite
then
V(x) = <xlx> is a
Lyapunov function
the 2x2 case:
of the system x =Ax.
B) Consider
A = [a b]
a b EM 2 (IR)
Show that if and <o and 4ad> (b+c) 2.
then A+AH is
negative-definite.](https://content.bartleby.com/qna-images/question/9c051e85-37be-41ca-9f9d-4ea8f9c83278/9bbf4c19-f8e2-49d5-9493-a0eada8c84bf/u8cb19_thumbnail.jpeg)
Transcribed Image Text:①alshow that if A+AH is negative-definite
then
V(x) = <xlx> is a
Lyapunov function
the 2x2 case:
of the system x =Ax.
B) Consider
A = [a b]
a b EM 2 (IR)
Show that if and <o and 4ad> (b+c) 2.
then A+AH is
negative-definite.
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