Suppose A is a 4 x 4 matrix and B is a 4 x 2 matrix, and
Question:
Suppose A is a 4 x 4 matrix and B is a 4 x 2 matrix, and let u0,...,u3 represent a sequence of input vectors in R2.
a. Set x0 = 0, compute X1,..., X4 from equation (1), and write a formula for x4 involving the controllability matrix M appearing in equation (2).
Data from in Equation (1) & (2)
b. Suppose (A, B) is controllable and v is any vector in R4. Explain why there exists a control sequence u0, ..., u3 in R2 such that x4 = V.
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Let A be a 4 4 matrix and B be a 4 2 matrix and let u 0 u 3 be a sequence of input vectors in R 2 a ...View the full answer
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Related Book For 
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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