Input-output finite-time stability for networked control systems with memory event-triggered scheme

Finite time extended dissipative control for a class of linear neutral semi‐Markovian jumping systems under event‐triggering scheme

“…Theorem 1. Considering system (9) together with strategy (7), for positive constants τ, τ, ρ, ρ, 𝜍, 𝛼, 𝔠 1 , T 𝑓 , 𝕋, 𝜂, matrix…”

“…Remark 2. What needs to be pointed out, the sampled-data-based event-triggering criteria (7), is that transmission instants set S 2 , a subset of sampling instants set S 1 , means the event detection is only executed not at continuous time but at sampling instants. Furthermore, from (7), it infers that the minimum inter-event time min k∈Z + {t k+1 T − t k T} is bounded from below with the sampling period T > 0 while avoiding Zeno phenomenon effectively.…”

“…According to the event-triggered mechanism (7), system ( 9) is SFTB with extended relative dissipative performance. Theorem 3.…”

“…Thereby, event‐triggered strategy can greatly alleviate communication burden and save resources by virtue of making network resources utilized when “needed,” which makes vast progress on the system performance. In consequence, ETC method has been put into use extensively on account of advantages in the domain of control and signal processing 3–22 . Another requisite emphasis is that minimum inter‐event time, the minimal time distance of arbitrary two event time moments consecutively, has to be greater than zero strictly.…”

“…In consequence, ETC method has been put into use extensively on account of advantages in the domain of control and signal processing. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] Another requisite emphasis is that minimum inter-event time, the minimal time distance of arbitrary two event time moments consecutively, has to be greater than zero strictly. When minimum inter-event time is zero, infinite events occur within a finite time interval, which brings about Zeno behavior.…”