Controllability of Multi-Layer Snapback Networks

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Journal / PublicationIEEE Transactions on Control of Network Systems
Online published22 Jun 2022
Publication statusOnline published - 22 Jun 2022


This paper studies the controllability of multi-input/multi-output (MIMO) linear time-invariant (LTI) systems in a snapback inter-layer coupling framework. Several necessary and sufficient conditions for the controllability of the 3-layer snapback networks are established. In addition, controllability conditions about the superposition of the 3-layer networks are obtained. These conditions are related to smaller-scale factor networks, showing the effects of the inter-layer coupling frameworks, intra-layer network topologies, node dynamics, inner interactions and external control inputs on the controllability of the snapback networks. Moreover, controllability conditions of the 3-layer snapback networks are extended to the M-layer setting. Finally, some examples are presented to illustrate the effectiveness of the controllability conditions.

Research Area(s)

  • Controllability, Couplings, Feedback loop, inter-layer coupling, intra-layer topology, Linear systems, LTI system, MIMO communication, MIMO system, Network systems, Topology