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

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The System[edit | edit source]

The Data[edit | edit source]

The matrices .

The Optimization Problem:[edit | edit source]

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

Implementation[edit | edit source]

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

Conclusion[edit | edit source]

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

Remark[edit | edit source]

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

External Links[edit | edit source]

Return to Main Page:[edit | edit source]