Modern Control Systems: An Introduction

Appendix A: Selected Answers to the Exercises

Chapter 1

1.

3.

5.

7.

9.

11.

  1. Completely state controllable.

  2. Not completely state controllable.

13. Completely state controllable, completely output controllable; completely observable.

15.

Chapter 2

1.

3.

5.

7.

9.

11.

Chapter 3

1. Asymptotically stable at the origin.

3. Asymptotically stable in-the-large at the origin.

5. Asymptotically stable at the origin.

Chapter 4

3. u*(t) = -0.236{x 1(t) + x 2(t)}

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