A Appendix

A.1 Algebra and Matrix Theory

We now present some inequalities on vector and matrix norms. Consider vector images and matrix images . Define images , images , images , and images , where images with images matrix eigenvalues.

Since the matrix norm is induced by the corresponding vector norm, we have

(A.1) images

For matrix images , we have the following inequality

(A.2) images

Hints: Inequalities (A.1) and (A.2) are frequently used. In ...

Get Formation Control of Multiple Autonomous Vehicle Systems now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.