A Lyapunov Characterization of Robust D-Stability with Application to Decentralized Integral Control of LTI Systems
Systems and Control
2026-05-18 v2 Systems and Control
Optimization and Control
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.
Keywords
Cite
@article{arxiv.2603.13608,
title = {A Lyapunov Characterization of Robust D-Stability with Application to Decentralized Integral Control of LTI Systems},
author = {John-Paolo Casasanta and John W. Simpson-Porco},
journal= {arXiv preprint arXiv:2603.13608},
year = {2026}
}