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Stability is a critical feature of distributed linearmulti-input-multi-output systems. Global asymptotic stability usually can beguaranteed when using decentralised or distributed control architectures, if:(i) conservative controllers are designed, (ii) collective stability conditionsare satisfied, or (iii) interaction terms are neutral. This paper extends thecollective stability method to incorporate adaptive controllers, and shows thatthis method is insufficient for systems with large-gain interconnections.Subsequently, we show that global asymptotic stability can be systematicallyensured by exploiting vector Lyapunov functions and algebraic Riccatiequations. This leads to a scalable distributed architecture where localcontrollers require information from corresponding subsystems and neighbouringcontrollers. Conveniently, the communication flow has the same topology as theinterconnection graph. Theoretical results are validated through application ofthe proposed architecture to voltage control of a DC power network.

Global Asymptotic Stability for General Linear MIMO Distributed Systems: An Approach Based on Robust-Adaptive Controllers