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arXiv · 2603.13608

A Lyapunov Characterization of Robust D-Stability with Application to Decentralized Integral Control of LTI Systems

John-Paolo Casasanta·John W. Simpson-Porco
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Abstract

The concept of matrix D-stability plays an important role in applications, ranging from economic and biological system models to decentralized control. Here we provide necessary and sufficient Lyapunov-type conditions for the robust (block) D-stability property. We leverage this characterization as part of a novel Lyapunov analysis of decentralized integral control for MIMO LTI systems, providing sufficient conditions guaranteeing stability under low-gain and under arbitrary connection and disconnection of individual control loops.

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John-Paolo Casasanta, John W. Simpson-Porco. 2026-03-13. A Lyapunov Characterization of Robust D-Stability with Application to Decentralized Integral Control of LTI Systems. https://doi.org/10.1109/lcsys.2026.3703779

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