Stability results for MIMO LTI systems via Scaled Relative Graphs
2025-03-17Code Available0· sign in to hype
Eder Baron-Prada, Adolfo Anta, Alberto Padoan, Florian Dörfler
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Abstract
This paper proposes a new approach for stability analysis of multi-input, multi-output (MIMO) feedback systems through Scaled Relative Graphs (SRGs). Unlike traditional methods, such as the Generalized Nyquist Criterion (GNC), which relies on a coupled analysis that requires the multiplication of models, our approach enables the evaluation of system stability in a decoupled fashion and provides an intuitive, visual representation of system behavior. Our results provide conditions for certifying the stability of feedback MIMO Linear Time-Invariant (LTI) systems.