Computation-Efficient Distributed Algorithm for Convex Optimization Over Time-Varying Networks With Limited Bandwidth Communication

Impulsive adaptive pinning synchronization of Lur'e networks with cluster‐tree topology via parameters variation protocols

“…where s(𝜆) denote a continuous function for varying 𝜆. Evidently, when 𝜆 = 0, it has s(0) = 𝜎 + 𝜁𝜐 T 0 + 𝜂𝜐 T 0 < 0 from the inequality (7) in Theorem 1 and s(𝜆) > 0 as 𝜆 → ∞. Furthermore, the derivative of s(𝜆) along 𝜆 can be calculated as ̇s(𝜆) = 1 + h𝜁𝜐 T 0 e 𝜆 + h𝜂𝜐 T 0 e h𝜆 > 0.…”

“…is taken in this article, then the condition (7) in Theorem 1 could be written as ln 𝜐 T a − 𝛽 + (𝜁 + 𝜂)𝜐 T 0 < 0. For this case, one could find that the smaller T a is required for the same parameters, which further implies that to guarantee a smaller T a , the control cost will be relatively increased.…”

“…Especially, the synchronization phenomenon is a research hot spot by scholars from various fields. [5][6][7] In fact, the synchronization describes a phenomenon, where the motion trajectories of some or all systems in a complex network move closer to the desired system or goal trajectory. After decades of the development, the synchronization forms of complex networks have become more diverse.…”

Cooperative Fault-Tolerant Control for Networks of Stochastic Nonlinear Systems With Nondifferential Saturation Nonlinearity

“…m. Remark 3: The above dynamics ( 10) is an non-strict feedback form. In the multi-agent systems (10), functions f i,h (•) , g i,h (•) , Ψ i,h (•) and all state vector x i are not reported in the existing consensus works. The further stimulated our research interest for the multi-agent systems model.…”

“…The stochastic multi-agent systems are seldom considered in the existing papers, although stochastic modeling has played an important role in many stochastic systems [7]- [9]. In [10], to unitedly overcome the bottlenecks of resource, communication, and computation in distributed optimization, the random sleep scheme is creatively introduced into algorithm design, which allows each agent to independently control its update frequency. Zhou et al in [11] proposed a novel adaptive fuzzy control scheme to solve the problem of adaptive fuzzy tracking control for a class of nonlinear systems by using This work was partially supported by the National Natural Science Foundation of China (61903290, 61703051), and the Project of Liaoning Province Science and Technology Program(2019-KF-03-13).…”