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LMIs in Control/Global Lyapunov Function Search for System with Polynomial Dynamics
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[UNDER CONSTRUCTION] - CME
Find the global Lyapunov function for a system with known polynomial dynamics.
Required Data
The system dynamics to be tested in the form where is a polynomial function of the states .
Find the Lyapunov Function
Find a polynomial (our Lyapunov function) , supposing there exists scalar such that:
Example
Code example in SOStools probably worthwhile!
Reference
SOS tools manual is a good one
Tie in the reference from SOS tools? The Khalil one seems correct.
Related LMIs
Add things here about SOS methods
Local Lyapunov Search
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