A Lyapunov Characterization of Robust D-Stability with Application to Decentralized Integral Control of LTI Systems
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910223130689536 |
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| author | Casasanta, John-Paolo Simpson-Porco, John W. |
| author_facet | Casasanta, John-Paolo Simpson-Porco, John W. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_13608 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Lyapunov Characterization of Robust D-Stability with Application to Decentralized Integral Control of LTI Systems Casasanta, John-Paolo Simpson-Porco, John W. Systems and Control Optimization and Control 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. |
| title | A Lyapunov Characterization of Robust D-Stability with Application to Decentralized Integral Control of LTI Systems |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2603.13608 |