LMIs in Control/Click here to continue/LMIs in system and stability Theory/Stability of Linear Delayed Differential Equations

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The System[edit | edit source]

where and .

The Data[edit | edit source]

The matrices .

The LMI:[edit | edit source]

Solve the following LMIP

Implementation[edit | edit source]

https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/50fc71737b69f2cf57d15634f2f19d091bf37d02

Conclusion[edit | edit source]

The stability of the above linear delayed differential equation is proved, using Lyapunov functionals of the form , if the provided LMIP is feasible.

Remark[edit | edit source]

The techniques for proving stability of norm-bound LDIs [Boyd, ch.5] can also be used.

External Links[edit | edit source]


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