How many eigenvalues of A are controllable?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve Q5 only
![SOLVE Q5 ONLY
Consider the state matrix A and input matrix B given by
-1
1
1
A =
1
-2
1
;B=
1
1
1
-1
2.
3) Choose a similarity transformation matrix T such that T-1 is formed by taking the first two linearly independent columns of C and the last vector
as [0 0 1]T. Then T is given by
4) The matrices A = T AT-l and B=TB is given by
5) How many eigenvalues of A are controllable?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4eea991e-b58c-4ae2-bfac-7c68082e184c%2F88878d4c-73e0-438c-9ea5-900acad4997e%2Flo4h1l_processed.png&w=3840&q=75)
Transcribed Image Text:SOLVE Q5 ONLY
Consider the state matrix A and input matrix B given by
-1
1
1
A =
1
-2
1
;B=
1
1
1
-1
2.
3) Choose a similarity transformation matrix T such that T-1 is formed by taking the first two linearly independent columns of C and the last vector
as [0 0 1]T. Then T is given by
4) The matrices A = T AT-l and B=TB is given by
5) How many eigenvalues of A are controllable?
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