72.7SYMar 13
A Lyapunov Characterization of Robust D-Stability with Application to Decentralized Integral Control of LTI SystemsJohn-Paolo Casasanta, John W. Simpson-Porco
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.