LMIs in Control/pages/Stability of Lure systems

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The System[edit | edit source]

The Data[edit | edit source]

The matrices .

The LMI: The Lure's System's Stability[edit | edit source]

The following feasibility problem should be solved as sufficient condition for the stability of the above Lur'e system.

Implementation[edit | edit source]


Conclusion[edit | edit source]

If the feasibility problem with LMI constraints has solution, then the Lure's system is stable.

Remark[edit | edit source]

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 | edit source]

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