This article mainly focuses on the problem of synchronization in finite and fixed time for fully complex-variable delayed neural networks involving discontinuous activations time-varying delays without dividing original into two subsystems real domain. To avoid separation method, a complex-valued sign function is proposed its properties are established. By means introduced function, control strategies developed under quadratic norm new based absolute values imaginary parts. applying...

This paper mainly studies fault-tolerant control for a class of semi-linear fractional-order multi-agent systems with diffusion characteristics, where the actuator fault is considered. The adaptive protocol based on adjacency relationship agents firstly designed, which can adjust coupling gain online through mechanism. Using Lyapunov stability theory, drive to achieve consensus leader-following and leaderless cases. Finally, simulation experiment carried out, showing effectiveness proposed theory.

There are few results concerning consensus of multiagent systems (MASs) based on partial differential equations (PDEs), and the problem how to act boundary control distributed measurement spatial points MASs has not been solved. This paper addresses for output leader-following directed modeled by parabolic PDEs. First, a controller acting is designed considering delivered information produced agents communicating with neighborhoods. Without input constraint, Lyapunov's direct method used...

This paper investigates the consensus problem of observer-based boundary control for fractional-order multi-agent systems (FOMASs). First, it is assumed that state cannot be directly measured. State observers are proposed when there only outputs partial spatial domain and boundary. In addition, two controllers based on estimated states proposed, namely, collocated measurement form distributed form, to achieve FOMASs. The sufficient conditions achieving obtained by employing fractional...

There is spatio‐temporal nature for many multi‐agent systems such as infight hose‐and‐drogue aerial refuelling systems. To deal with consensus control of cases, this study establishes a non‐linear leader‐following system modelled by partial differential equations. Initially, boundary controller based on coupling studied to ensure the system. A sufficient condition existence presented in terms linear matrix inequalities. simplify obtained result, second and simple its investigated. Finally,...

Summary In this paper, we investigate the pinning synchronization of directed complex network with time‐varying delay under adaptive aperiodically intermittent control. First, model a is established, interaction graph which not required to contain spanning tree, and for an feedback controller well designed. addition, based on Lyapunov function method linear matrix inequality technique, several asymptotical criteria are derived via strategy, superior periodical scheme. Moreover, strategy...

The single atom electrocatalysts with the typical metal-nitrogen-carbon sites possess good oxygen reduction reaction (ORR) activity, yet challenges remain in fabricating rechargeable Zn-air batteries (ZABs) due to their poor oxygen...

Summary A cart‐pendulum system is a nonlinear underactuated mechanical with two degrees of freedom. This paper addresses the motion trajectory design and tracking control problems for this system. First, friction‐like law designed Then, characteristics closed‐loop are analyzed. Second, new method constructing an optimal developed. to quickly track constructed trajectory. It guarantees that achieved along reference Finally, numerical example presented demonstrate effectiveness theoretical...

This paper addresses the problem of exponential synchronization via boundary control for a class networked linear spatiotemporal dynamical networks consisting N identical nodes, in which behavior each node is described by parabolic partial differential equations (PDEs). The purpose this to design controllers ensuring PDE system. To do this, Lyapunov's direct method, vector-valued Wirtinger's inequality, and technique integration parts are employed. A sufficient condition on existence...

This brief investigates the consensus problem in fractional-order multi-agent systems (MASs) modeling partial differential equations-ordinary equations (PDE-ODEs) by boundary control with directed topology. Boundary controllers reduce costs, especially when deploying actuators entire spatial domain is impractical. As a result, are positioned exclusively at locations method. Moreover, applying Mittage-Leffler function and some inequalities, sufficient conditions for MASs to reach obtained...

This paper addresses the problem of robust<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>control design via proportional-spatial derivative (P-sD) control approach for a class nonlinear distributed parameter systems modeled by semilinear parabolic partial differential equations (PDEs). By using Lyapunov direct method and technique integration...

Summary Multi‐agent systems (MASs) are widely used in many necessary fields such as cybersecurity, precision agriculture, satellites, and smart grids. In practical processes, a proportion of states cannot be obtained directly. Therefore, it is desired to design an observer. This article explores the utilization output‐feedback adaptive control techniques achieve consensus MASs based on partial differential equations (PDEs) with reaction‐diffusion terms time delays. First, dealing...