LMIs in Control/pages/Stability of Lure systems
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(Redirected from LMIs in Control/pages/stabilty of Lure syatems)The System edit
The Data edit
The matrices .
The LMI: The Lure's System's Stability edit
The following feasibility problem should be solved as sufficient condition for the stability of the above Lur'e system.
Implementation edit
Conclusion edit
If the feasibility problem with LMI constraints has solution, then the Lure's system is stable.
Remark edit
The LMI is only a sufficient condition for the existence of a Lur’e Lyapunov function that proves stability of Lur'e system . It is also necessary when there is only one nonlinearity, i.e., when .
External Links edit
- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
- LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes.
- LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.