①alshow that if A+AH is negative-definite then V(x) = 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 (b+c) 2. then A+AH is negative-definite.
①alshow that if A+AH is negative-definite then V(x) = 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 (b+c) 2. then A+AH is negative-definite.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c051e85-37be-41ca-9f9d-4ea8f9c83278%2F9bbf4c19-f8e2-49d5-9493-a0eada8c84bf%2Fu8cb19_processed.jpeg&w=3840&q=75)
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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