LMIs in Control/Click here to continue/Applications of Non-Linear Systems/Lyapunov Stability of a System With Polynomial Dynamics

[UNDER CONSTRUCTION] - CME Find the local 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 . A function or functions representing the local domain over which stability is to be determined, . Commonly this is a ball of specified radius such that . [Is this assuming P-Compactness of the set?] Find the Lyapunov Function Suppose there exists Lyapunov function , a scalar , and (where is the set of Sum-of-Squares polynomials, all of which are positive) such that: The Lyaponov function, if it exists, will be positive and always decreasing over the desired set Example Code example in SOStools probably worthwhile! Reference SOS tools manual is a good one Tie in the reference from SOS tools? The Khalil? Related LMIs Add things here about SOS methods Global Lyapunov Search Return to Main Page: </noinclude>