Distributed event‐triggered state estimators design for sensor networked systems with deception attacks

H∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme

“…According to Lemma 2, substituting M R −1 with MR − 2 M X i into (24) and then from Schur complement lemma, (24) and (25) are equivalently expressed as (22), (23). Thus, it concludes that the stochastic semi-Markovian jump time-delay closed-loop system (8) is stochastically stable if (22) and (23) are satisfied. This completes the proof.…”

“…Definition 2 (See the work of Li et al 14,15 ). The semi-Markovian jump time-delay system in (8) with all modes and all t ≥ 0 is said to achieve stochastic stability if the following inequality holds for any initial condition (x 0 , 0 ): . For matrices Ω > 0, X T = X and any scalar , the following inequality holds:…”

“…Theorem 1. For given scalars i , M , , and and the controller K i , under the ETS (4), the stochastic semi-Markovian jump time-delay closed-loop system (8) is stochastically stable with an H ∞ performance index if there exist matrices P i > 0, Q i > 0, Φ i > 0, W > 0, R > 0 and a scalar > 0 for each mode (t) = i, i ∈ S, such that the following inequalities hold:…”

“…Thus, ETSs have been widely used and paid increasing attention. Recently, fruitful research about ETSs are considered in networked systems under cyberattacks, to mention a few, secure control problems, and state estimator design . Then, in this study, we focus on the sampled‐data‐based ETS in which only real necessary sampled data depending on system preference can be transmitted to the controller.…”

“…2019;29:4609-4626.wileyonlinelibrary.com/journal/rnc 4610 WU AND MU few, secure control problems, 7 and state estimator design. 8,9 Then, in this study, we focus on the sampled-data-based ETS in which only real necessary sampled data depending on system preference can be transmitted to the controller. As a special class of hybrid systems, Markovian jump systems have been broadly studied in recent years where the jump signals are described by a Markovian jump process.…”