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Summary: sc4026
Exercise Session 3
Alessandro Abate
a.abate@tudelft.nl
Solomon Zegeye
s.k.zegeye@tudelft.nl
Delft Center for Systems and Control, TU Delft
September 24, 2009
Ac.Yr. 2009/10, 1e Sem. Q1 Exercise Session 3 sc4026
A. Abate, S.K. Zegeye
Lyapunov Stability Check
Consider the continuous-time system x = 0.8 x and the test
function V (x) = 2 x. Here the state is a scalar. Which one of
the following statements is true?
1. V (x) is a Lyapunov function for this system and therefore the
system is asymptotically stable;
2. V (x) is not a Lyapunov function for this system and therefore
the system is not stable;
3. V (x) is not a Lyapunov function for this system, but given this
information, we cannot conclude anything about the stability
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