A linear continuous time system is given by a state space model with B= [:]. -2 A = C = [1 - 1], D=0 4 -5 Analyze the following properties of the above system for different a: (i) asymptotic stability (ii) controllability, and (iii) observability.

A linear continuous time system is given by a state space model with B= [:]. -2 A = C = [1 - 1], D=0 4 -5 Analyze the following properties of the above system for different a: (i) asymptotic stability (ii) controllability, and (iii) observability.

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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Question

A linear continuous time system is given by a state space model with
A-[ ]), a-[1].
B =
В
C = [1 - 1], D=0
4
Analyze the following properties of the above system for different a:
(i) asymptotic stability (ii) controllability, and (iii) observability.

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