The problem of modeling and D-stability analysis for discrete-time control systems in networked
environments is researched. Firstly, a new modeling approach is proposed to describe the network
behaviors into a unified framework such as random network-induced delays, packet dropout, and
packet disorder etc. And the overall mathematic model of discrete-time networked control systems is
derived with state feedback control strategy. Then with this model, the D-asymptotic stability condition, which is dependent
on the upper bound of the equivalent network-induced delays, is presented in terms of spectra method. These can
guarantee the performance in the presence of communication constraints. Finally, a simulation example is given to
demonstrate the effectiveness and efficiency of the proposed theoretical results.
Keywords: Discrete-time networked control systems, D-Stability, networked-induced delay, spectra analysis.
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