Summary: sc4026
Exercise Session 1
Alessandro Abate
a.abate@tudelft.nl
Aleksandar Haber
a.haber@tudelft.nl
Delft Center for Systems and Control, TU Delft
September 10, 2009
Ac.Yr. 2009/10, 1e Sem. Q1 Exercise Session 1 sc4026
A. Abate, A. Haber
1. Properties of the matrix exponential
Show, by using a few terms of the infinite series expansion,
the following equalities:
· eA(t+s)
= eAt
eAs
· e(A+B)t
= eAt
eBt
if AB = BA (i.e., A and B commute)
