(1.5) Investigate the complete controllability of the linear autonomous systemJ* = -2y + u1 y=-x+yin the following two cases:(a) If the control u is unbounded.(b) If u(t)| ≤ 1 for all t≥ 0.

Given,x˙=-2y+uy˙=-x+yTo find: Controllability if- a) the control u is unbounded…

Answered: (1.5) Investigate the complete…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(1.5) Investigate the complete controllability of the linear autonomous system J=-2y+u y=-x+y in the following two cases: (a) If the control u is unbounded. (b) If u(t)| ≤ 1 for all t≥ 0.