LMIs in Control/Matrix and LMI Properties and Tools/Young’s Relation-Based Properties
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Young’s Relation-Based Properties
[edit | edit source]1. Consider , and . The matrix inequality given by
- is satisfied if and only if there exist , ,,,, and , where
- and , such that
- and
2. Consider , and , where is full rank and . The matrix inequality given by
- is satisfied if there exist such that
External Links
[edit | edit source]A list of references documenting and validating the LMI.
- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
- LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.
- LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes. (2.4.1 page 23)