LMIs in Control/pages/Stability of Linear Delayed Differential Equations

The SystemEdit

 

where   and  .

The DataEdit

The matrices  .

The LMI:Edit

Solve the following LMIP

 

ImplementationEdit

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

ConclusionEdit

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

RemarkEdit

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

External LinksEdit


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