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