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LMIs in Control/pages/Stability of Linear Delayed Differential Equations
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The System
where and
.
The Data
The matrices .
The LMI:
Solve the following LMIP
Implementation
https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/50fc71737b69f2cf57d15634f2f19d091bf37d02
Conclusion
The stability of the above linear delayed differential equation is proved, using Lyapunov functionals of the form
, if the provided LMIP is feasible.
Remark
The techniques for proving stability of norm-bound LDIs [Boyd, ch.5] can also be used.
External Links
LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes.
LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.
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