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.
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)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.1MCQ: For a set of linear algebraic equations in matrix format, Axy, for a unique solution to exist,...
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1. Consider that a third-order system has the coefficient matrices
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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