Dynamic Self-Triggered Impulsive Synchronization of Complex Networks With Mismatched Parameters and Distributed Delay

Abstract

Synchronization of complex networks with nonlinear couplings and distributed time-varying delays is investigated in this article. Since the mismatched parameters of individual systems, a kind of leader-following quasisynchronization issues is analyzed via impulsive control. To acquire appropriate impulsive intervals, the dynamic self-triggered impulsive controller is devoted to predicting the available instants of impulsive inputs. The proposed controller ensures the control effects while reducing the control costs. In addition, the updating laws of the dynamic parameter is settled in consideration of error bounds to adapt to the quasisynchronization. With the utilization of the Lyapunov stability theorem, comparison method, and the definition of average impulsive interval, sufficient conditions for realizing the synchronization within a specific bound are derived. Moreover, with the definition of average impulsive gain, the parameter variation scheme is extended from the fixed impulsive effects case to the time-varying impulsive effects case. Finally, three numerical examples are given to show the effectiveness and the superiority of proposed mathematical deduction.

Improved Dynamic Event-Triggered Robust Control for Flexible Robotic Arm Systems with Semi-Markov Jump Process

“…Similar to [ 17 ], some appropriate physical system parameters of ( 5 ) and parameters related to the dynamic event-trigger condition in ( 16 ) are set in the following Table 2 .…”

“…−λ 1 0.3λ 1 0.5λ 1 0.2λ 1 0 0.3λ 2 −λ 2 0.6λ 2 0.1λ 2 0 0.3λ 3 0.2λ 3 −λ 3 0.5λ 3 0 0 0 0 −λ 4 λ 4 0.1λ 5 0.4λ 5 0.5λ 5 Before presenting the result of the numerical simulation, the setup and software of the computer that we employ are given in Table 1: Similar to [17], some appropriate physical system parameters of (5) and parameters related to the dynamic event-trigger condition in (16) are set in the following Table 2.…”

“…Benefiting from the technology developed for the rapid growth of network communications, NCSs (network control systems) have gradually replaced physical transmission media with their unique advantages: low construction cost, small required space, low physical failure rate [ 17 ]. These advantages have recently attracted significant research interest from scholars.…”

State Estimation in a Biodigester via Nonlinear Logistic Observer: Theoretical and Simulation Approach

“…Finally, it is clear that this method allows for rapid calculation of a mathematical description of continuous fermentation processes that can be utilized for optimization and control. This work may be expanded to situations with mismatched parameters and dispersed delays, and advanced controllers can be built, such as Finite-Time Control of Dual-Switching Poisson, as in [45,46], offering a unique application for chemical-biological systems; however, these avenues remain yet unexplored.…”

Linear quadratic control for multiple time‐delayed uncertain random systems

“…From another aspect, the dynamic systems in optimal control problems became more complex and interesting, providing us more realistic models in practices. Among various cases, some researchers paid much attention to delay systems [31][32][33][34], in which the state is determined not only by present time but also by previous time. Jajarmi and Hajipour [33] and Feng et al [35] converted time-delayed optimal control problems to equivalent problem without delay using different methods.…”