411 REFERENCE · Wikibooks
LMIs in Control/Stability Analysis/Discrete Time/Polytopic Uncertainty/Open-Loop Robust Stability
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
The System
Consider the set of matrices
,
The Data
The discrete-time LTI system is asymptotically stable for all if there exists , , and , where , such that
,
Implementation
This is used to get open-loop stability.
Related Links
LMIs in Control/Stability Analysis/Discrete Time/Transient Bound for Discrete-Time Non-Autonomous LTI Systems
References
LMI Properties and Applications in Systems, Stability, and Control Theory Caverly Ryan 2021 Forbes James