Since the actuator attack is an important threat to the complicated network, the problem of finite-time consensus tracking (FTCT) control for time-varying delay singular multiagent systems with actuator attack is investigated in this article. First, to approximate the states of the follower agents and design the sliding mode surfaces under actuator attack, a state observer is proposed. Then, the novel neural-adaptive distributed FTCT protocol and actuator attack estimation protocol are designed based on the radial basis function neural network estimation method. The sliding mode control with a partitioning strategy is adopted for the FTCT problem analysis of singular multiagent systems. The sufficient conditions and solving strategies of FTCT for singular multiagent systems over the whole finite-time interval are provided. Finally, the validity of FTCT for singular multiagent systems is verified by simulation examples.

The generalized homogenization-based protocol is proposed, which provides a novel direction for the challenging problem of finite-time consensus tracking (FTCT) control in singular multiagent systems (SMASs) in this paper. The proposed FTCT protocol is continuous and can be regarded as an upgrade of the distributed protocol for asymptotically stable analysis. Then, the homogeneity conditions of the closed-loop systems under the proposed protocol are derived, providing an important prerequisites for FTCT analysis. The FTCT problem for SMASs is successfully addressed by combining the construction of canonical homogeneous norm Lyapunov function and impulse free analysis. Finally, the simulation results are provided to validate the effectiveness of the proposed method.

For heterogenous singular multiagent systems(HSMASs) with signed digraph, the bipartite output containment control(BOCC) problem is explored. The realistic adaptive observer is designed, which can estimate the matrix information of the leader agents. Next, two distributed adaptive bipartite output containment protocols are proposed with the feedforward design method. To further improve the reliability and reduce measurement costs, two novel adaptive bipartite output containment protocols based on the neighbor measurement outputs exchange are synthesized. Moreover, the necessary conditions for the bipartite outputs of follower agents converge to the convex hull spanned by outputs of leader agents are obtained based on the singular Riccati equations, model transformation and admissible analysis. Finally, the convergence speed for the bipartite output errors are compared in the simulation part to further analyze the merits and drawbacks of the four proposed protocols.

The interactive computation and communication platforms make singular multiagent systems vulnerable to attacks and external disturbances. Therefore, it is necessary to design the adaptive protocol to prevent the insecurity factors in singular multiagent systems. The control objective is to drive the states of follower agents form formation control centered on the convex combination of leader agents within a finite-time and guarantees the reliability of systems. To achieve this goal, a distributed formation protocol with adaptive estimation performance is proposed to ensure the reliability of the singular multiagent systems under actuator attacks and state dependent uncertainties. On this basis, the state trajectories analysis in both reaching phase and sliding motion phase is adopted to solve the finite-time formation control problem. The conditions that the coupled formation tracking error system is impulse free and bounded over the whole finite-time interval are obtained, indicating that the finite-time formation control problem of singular multiagent systems is feasible. Finally, the numerical example of time-varying formation is provided to verify the effectiveness of the designed adaptive protocol.

In this study, the output formation containment control problem for heterogeneous singular multiagent systems is investigated. The purpose of this study is to drive the output of the leader agents to reach a time-varying formation and take containment action for the follower agents. First, a novel distributed adaptive protocol is designed that relies on the relative output information of agents without measuring and transmitting their states information. Then, the formation containment control problem can be simplified into an admissible analysis of coupled nonlinear singular systems by constructing a model transformation. The output formation control conditions related to the spectral radius of the weighted adjacency matrix are obtained based on the bounded real lemma and admissible analysis. In addition, the adaptive protocols based on the state of the virtual leader are proposed, which can drive the agents to achieve formation containment control more quickly when the state of the virtual leader is known. Finally, the simulation results verify the feasibility of the output formation containment control.

This study investigates time-varying formation design and analysis problems for the singular multiagent systems(SMASs) with external disturbances and jointly connected topologies. Firstly, the novel nonlinear distributed formation protocol is formulated and the finite-time reachability of sliding mode surfaces is proved. Another improvement emphasizes that a common matrix can be extracted from the decomposition of all switching Laplacian matrices, which simplifies the formation control problem to admissible analysis. Secondly, by using the feedback impulse elimination and Cauchy convergence criterion methods, the solvability of the time-varying formation control is obtained. Thirdly, the external disturbances are well suppressed by the robust H∞ stability analysis. Finally, to verify the validity of the proposed theory, the simulation examples of hexagonal time-varying formation are provided.

In this letter, the robust $H_{\infty }$ time-varying formation control with transient performance is investigated for multiagent systems subject to external disturbances and directed jointly connected topologies. First, the novel distributed formation protocol is designed, which can not only adjust the relative position between agents but also extend the solution of formation function. Then, the formation problem is effectively simplified to robust asymptotically stability analysis by the Laplacian matrix decomposition method. Moreover, the feasibility of the time-varying formation control with transient performance is presented on the basis of the Cauchy convergence criterion and robust $H_{\infty }$ control analysis. Toward the end, the simulation example is taken up to show the validity of the proposed control technique.

To deal with single event upset phenomenon of configuration memory in on-orbit FPGA circuit, this paper proposes a multiple processors system on chip (MPSoC) with FPGA suitable method to single event upset recovery. This method uses the PCAP interface of the SoC architecture to realize the SEU caused error detection of the configuration data by the processor using the readback comparison without affecting the normal operation of the FPGA functional circuit. Finally, the fault injection experiment is carried out by SEM IP, which verifies the effectiveness of the configuration data SEU detection recovery method in both directions, and evaluates the speed advantage of the recovery method according to the average fault recovery response time.

The admissible consensus tracking control of singular multiagent systems under nonlinear actuator attacks is investigated in this article. A novel distributed adaptive protocol is designed, which can approximate the actuator attack by adaptive updating the weight matrix of neural network. An integral sliding surface is constructed based on the singularity of agents, and the sliding-mode dynamics can reach the sliding-mode surface in finite time under the proposed protocols. Sufficient conditions of impulse free and consensus tracking control of the singular multiagent systems are proved, and the attenuation of external disturbances is verified. The effectiveness of the proposed methods is verified through the numerical simulation examples.

This paper addresses the fully distributed adaptive time-varying formation protocols design problem for singular multiagent systems with directed topology. The pinning control method is introduced into the design of the adaptive distributed protocols, which can effectively adjust the formation position among agents and greatly relax the constraints of the communication topology among agents. Then, the distributed algorithm that independent of the global information of the communication graph is designed to solve the proposed fully distributed protocols. Next, the sufficient conditions of time-varying formation control are provided by the feedback pulse elimination method and stability analysis. Finally, the time-varying formation simulation results are presented to verify the feasibility of the proposed theory.

The admissible consensus tracking problem of nonlinear singular multiagent systems (SMASs) with time-varying delay, uncertainties, and external disturbances under jointly connected topologies is investigated in this article. First, the sliding-mode control (SMC) is applied to effectively reduce the adverse effects of uncertainties and nonlinearities of systems. Then, by the combination of admissible analysis, the Cauchy convergence criterion, and SMC, the sufficient conditions for the admissible consensus tracking and disturbance rejection of SMASs under jointly connected topologies are provided. Furthermore, a distributed SMC law is designed such that the sliding-mode dynamics trajectories reach the sliding surface in finite time. Finally, the simulation results are utilized to indicate the effectiveness of the presented methods.

This paper is concerned with the time-varying formation control problem for singular multiagent systems with switching topologies. First, in order to eliminate the pulse solution of singular systems and extend the formation function set, the distributed formation controller has been formulated based on the output information of the agents. Then, the explicit expression of formation position function is presented based on the impulse free and the equivalent transformation of singular multiagent systems. Next, the sufficient and necessary conditions of the feasibility of the formation function are provided. Moreover, the sufficient conditions of formation control of singular multiagent systems with switching topologies are presented and the algorithm is designed to solve the distributed controller. Finally, the validity of the proposed approaches is verified by numerical simulation in this paper.

The time-varying formation control of singular multi-agent systems is investigated in this paper, where the formation contains multiple leaders and the information communication topology is directed. The follower agents form a time-varying formation around the centre of the convex combination of the leader states. Firstly, a practical distributed protocol based on only the relative measurement outputs and extended formation function is designed. Then, the necessary and sufficient conditions for the time-varying formation control under the proposed distributed protocol are proven. Furthermore, based on the admissible analysis of singular multiagent systems, the algorithm for solving distributed protocol is given. Finally, simulation results of time-varying formation are presented to illustrate the feasibility and effectiveness of the proposed techniques.

This paper investigates the cooperative output regulation problem of heterogeneous linear multi-agent systems under singular dynamics and adaptive distributed protocol. Considering the followers do not know the matrix information of the leader, two novel adaptive distributed protocols are developed based on the state and measurement output. Then, as the technology basis of the cooperative output regulation strategy of the singular multi-agent systems considered in this paper, some stability analysis results of linear time-varying singular systems are proved. Next, sufficient conditions are established to solve the cooperative output regulation problem of heterogeneous singular multi-agent systems with the adaptive distributed protocols designed in this paper. The general entirety method is proposed, which avoids the design of standard reduction transformation matrices, the calculation of model reduction and the impulse-free hypothesis in the standard reduction method. Finally, numerical results are provided to demonstrate the feasibility and effectiveness of the proposed techniques.

This paper is concerned with the admissible H∞ control problem for descriptor linear multi-agent systems with external disturbances. A distributed dynamical control strategy is developed based on the relative output measurements between agents and self feedbacks. The coupled descriptor network multi-agent systems are converted into N independent systems with the same dimension. In addition, admissible H∞ performance equivalence between the coupled systems and the isolated systems is proved. Furthermore, a sufficient condition for designing the admissible H∞ controller of the coupled systems is given. Overall, the contributions in this work are to extend the existing results on admissible H∞ control of normal linear multi-agent to descriptor linear multi-agent systems, and the results are only relate to the maximum and minimum eigenvalues of Laplacian matrix. Finally, effectiveness of the proposed method is verified through some simulation examples.

This paper addresses the admissible consensus problem for homogenous descriptor multiagent systems with undirected graphs and disturbances. First, to achieve the consensus objective and attenuate the effects of disturbances, the distributed controllers are formulated and the admissible consensus problems are formulated. Another improvement emphasizes that the proposed approach can simplify the complexity of the admissible consensus analysis by using the state transformation during the admissible analysis and disturbances suppression analysis. Moreover, based on Riccati inequalities and linear matrix inequalities, two necessary and sufficient conditions are presented to ensure the admissible consensus and disturbances suppression objectives. Finally, two simulation examples are provided to demonstrate the effectiveness of the proposed approaches.

Integral inequalities play an important role in the stability analysis for systems with time-varying delay. In this paper, the orthogonal polynomials of one variable are extended to the orthogonal system of bivariate polynomials. An orthogonal system of bivariate functions which need not be continuous is introduced by triangulating a bounded domain in the plane. The bivariate functions in this orthogonal system need not be polynomials. Based on the orthogonal decomposition of vector and orthogonal approximation of vector, some new double integral inequalities are obtained. These double integral inequalities can provide tighter bounds than most of existing inequalities. Based on these double integral inequalities, an improved sufficient condition on asymptotical stability for systems with time-varying delay is obtained. Several numerical examples are given to show the effectiveness of the stability condition proposed in this paper.

In this paper, the exponential stability for a class of neural networks with time-varying delay is concerned. An improved integral inequality is derived which extends the auxiliary function-based integral inequality. A novel Lyapounov-Krasovskii functional (LKF) with some new integral terms is constructed. Based on the improved integral inequality and reciprocally convex combination approach, a less conservative exponential stability criterion for the neural networks with time-varying delay is obtained. The effectiveness of the proposed method in this paper is illustrated via numerical examples.

This paper investigates the problem of guaranteed cost control of an interval type-2 Takagi-Sugeno fuzzy descriptor systems with time-varying delays satisfying probabilistic characteristics. In order to fully consider the delay distributions, the delay segmentation approach is introduced. Then, an interval type-2 fuzzy controller is designed such that the closed-loop fuzzy descriptor system is regular, causal, mean square asymptotically stable, and the corresponding quadratic cost function is guaranteed which lower than a certain upper bound. Finally, one simulation example is given to demonstrate the effectiveness of the proposed method.

This paper considers exponential stability of delayed neural networks(NNs). Based on some novel integral inequalities and a modified Lyapunov-Krasovskii functional(LKF), further result on delay-dependent exponential stability is obtained for the considered delayed neural networks in form of linear matrix inequality(LMI). The effectiveness of our result in this paper is also demonstrated by a numerical example.