2023/12/31 by Steven W. Su, Su, Steven W.
Computer Science · Engineering · #Matrix Theory and Algorithms #Stability and Control of Uncertain Systems #Neural Networks Stability and Synchronization
paper · pdf · doi:10.48550/arxiv.2401.00367
In this note, we discuss the extension of several important stable square matrices, e.g., D-stable matrices, diagonal dominance matrices, Volterra-Lyapunov stable matrices, to their corresponding non-square matrices. The extension is motivated by some distributed control-related problems, such as decentralized unconditional stability and decentralized integral controllability for non-square processes. We will provide the connections of conditions between these special square matrices and their associated non-square counterparts. Some conjectures for these special matrices are proposed for future research.