Consider that a third-order system has the coefficient matrices [1 A = |0 [0] B = |1 2 -1] 1 C = [0 _0 1] -4 3 Using the method of matrix transformation obtain a) the Jordan canonical form (JCF) of the system and discuss whether the system is controllable or observable, accordingly. b) the controllable canonical form (CCF) for the system. c) the observable canonical form (OCF) for the system.

Power System Analysis and Design (MindTap Course List)
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Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter6: Power Flows
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1. Consider that a third-order system has the coefficient matrices

Using the method of matrix transformation obtain:

  1. a)  the Jordan canonical form (JCF) of the system and discuss whether the system is controllable or observable, accordingly.

  2. b)  the controllable canonical form (CCF) for the system.

  3. c)  the observable canonical form (OCF) for the system.

1. Consider that a third-order system has the coefficient matrices
[1
-1]
[0]
B = |1
C = [0 0 1]
A =
1
L1
-4
3
Using the method of matrix transformation obtain
a) the Jordan canonical form (JCF) of the system and discuss whether the system is
controllable or observable, accordingly.
b) the controllable canonical form (CCF) for the system.
c) the observable canonical form (OCF) for the system.
Transcribed Image Text:1. Consider that a third-order system has the coefficient matrices [1 -1] [0] B = |1 C = [0 0 1] A = 1 L1 -4 3 Using the method of matrix transformation obtain a) the Jordan canonical form (JCF) of the system and discuss whether the system is controllable or observable, accordingly. b) the controllable canonical form (CCF) for the system. c) the observable canonical form (OCF) for the system.
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