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Both D-stability and finite L_2-gain properties are studied for a class of uncertain discrete-time systems with timevarying network-induced delays. By using coordinate transform and delay partition, the D-stability and H∞ performance problems for such networked control systems(NCSs) are equivalently transferred into the corresponding problems for switching systems with arbitrary switching. Then, a sufficient condition for the existence of the robust D-stabilizing controllers is derived in terms of linear matrix inequality(LMI), and the design method is also presented for the state feedback controllers which guarantee that all the closed-loop poles remain inside the specified disk D(α, r)and the desired disturbance attenuation level. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.
Both D-stability and finite L_2-gain properties are studied for a class of uncertain discrete-time systems with timevarying network-induced delays. By using coordinate transform and delay partition, the D-stability and H∞ performance problems for such networked control systems (NCSs) are equivalently transferred into the corresponding problems for switching systems with arbitrary switching. Then, a sufficient condition for the existence of the robust D-stabilizing controllers is derived in terms of linear matrix inequality (LMI), and the design method is also presented for the state feedback controllers which guarantee that all the closed-loop poles remain inside the specified disk D (α, r) and the desired disturbance attenuation level. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.