LMIs in Control/pages/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]


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]

Return to Main Page:[edit | edit source]