A Lyapunov Characterization of Robust D-Stability With Application to Decentralized Integral Control of LTI Systems
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.
Fields of Study & Subjects
Stability and Control of Uncertain Systems
Adaptive Control of Nonlinear Systems
Aerospace Engineering and Applications
Publication details
- Journal / source
- IEEE Control Systems Letters
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Volume
- 10
- Pages
- 1375–1380
- Publication date
- 1 January 2026