Consider the system described in state variable form by x(t) = Ax(t) + Bu(t) y(t) = Cx(t)

Question:

Consider the system described in state variable form by
x(t) = Ax(t) + Bu(t)
y(t) = Cx(t)
where
and C = [1 -1]. %3D

and where k1 ‰  k2 and both k1 and k2 are real numbers.
(a) Compute the state transition matrix Φ(t, 0).
(b) Compute the eigenvalues of the system matrix A.
(c) Compute the roots of the characteristic polynomial.
(d) Discuss the results of parts (a)-(c) in terms of stability of the system.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Modern Control Systems

ISBN: 978-0136024583

12th edition

Authors: Richard C. Dorf, Robert H. Bishop

Question Posted: