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