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Summary: sc4026
Exercise Session 4
Alessandro Abate
a.abate@tudelft.nl
Aleksandar Haber
a.haber@tudelft.nl
Delft Center for Systems and Control, TU Delft
October 6, 2011
Ac.Yr. 2011/12, 1e Sem. Q1 Exercise Session 4 sc4026
A. Abate, A. Haber
Lyapunov Stability
Consider the planar system
x = Ax =
-2 0
0 -2
x.
Study its Lyapunov stability.
If possible, solve the Lyapunov equation for the matrix unknown
P , with a Q of choice, to obtain a global Lyapunov function
V (x) = xT
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