Stabilization of Networked Systems under Information Structure Constraints

The objective of this paper is to propose a systematic approach to decentralized stabilization with sampled-data delayed feedback for basic models of networked continuous-time complex systems. Single-packet transmissions and multiple-packet transmissions are considered for the I/O-oriented systems as well as the interconnected systems with disjoint structure of subsystems and their interconnections. The Liapunov-Razumikhin based method is used. An attention is focused on the effect of data-packet dropout and communication delays between the plant and the controller to design stabilizing decentralized controllers. It is shown how this methodology can lead to a decentralized control design with time-varying delays in the input. For such a purpose, a delay-dependent approach is considered in order to obtain decentralized controllers asymptotically stabilizing closed-loop networked control systems.