Asynchronous H∞ filtering for semi-Markov jump T-S fuzzy systems within partial state delay and deception attack: Applied to aircraft-pilot state estimation

State Estimation-Based Hybrid-Triggered Controller Design for Synchronization of Repeated Scalar Nonlinear Complex Dynamical Networks

“…which verifies that equation ( 13) is possessed for any non-negative t λ . In accordance with the above evaluation, it is proved that the closed-loop augmented system (11) achieves stability in the extended dissipative sense. In addition, it should be pointed out that, in tandem with the proof of Theorem 2 of [8], it is also clear that P is diagonally dominant.…”

“…The purpose of this section is to determine a novel sufficient conditions for guaranteeing asymptotic stability of the augmented closed-loop system (11), which thereby ensures the state estimationbased synchronization of RSNCDNs (1) with the aid of configured non-fragile observer-based hybrid-triggered controller. Moreover, in order to demonstrate the above-said two theorems, one having known gain matrices with (t) = 0, ∆K(t) = 0 and the later with unknown gain matrices in the presence of external disturbances and gain perturbations are offered.…”

“…It is to be mentioned that, in the further, the mathematical expectation will be denoted by E{.}. The outcomes listed below are obtained by evaluating the expectation of first derivative of the above-mentioned Lyapunov-Krasovskii functional ( 16) along the trajectories of the augmented closed-loop system (11):…”

“…The augmented closed-loop system (11) with non-zero disturbances, gain perturbations and unknown gain matrices is now integrated into the inference of Theorem 1.…”

“…One cannot be much ignorant in considering time-delays in system design as it may lead to inaccurate analysis. Such time delays can sometimes potentially lead to instability and have an impact on performance of the system [11]- [12]. Thus, researches on behaviour of networks in the presence of time delays would be more pertinent and perhaps other exciting works on CDNs with delays have been conducted [23], [24].…”