LMIs in Control/pages/Output Energy Bounds for Lure System

The SystemEdit

 

The DataEdit

The matrices  .

The Optimization Problem:Edit

The following optimization problem should be to find the tightest upper bound for the output energy of the above Lur'e system.

 

ImplementationEdit

https://github.com/mkhajenejad/Mohammad-Khajenejad/blob/master/LMIs%20for%20Output%20Energy%20Bounds%20of%20Lure's%20Systems

ConclusionEdit

The value function returns the the lowest bound for the energy function of the Lure's systems, i.e.,   with initial conditions  .

RemarkEdit

The key step in the proof is to satisfy  , where   is Lyapunov function in a special form.

External LinksEdit

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