LMIs in Control/pages/Stability of Linear Delayed Differential Equations
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]
- 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.