Consensusability of multi-agent systems (MASs) is a fundamental problem in the MAS research area, since when starting to design consensus protocol, one should know whether or not there exists such protocol that has ability make involved consensus. This technical note aimed at studying joint impact agent dynamic structure and communication topology on consensusability. For MASs with fixed agents described by linear time-invariant systems, necessary condition consensusability respect set...

This paper considers leader-following bipartite consensus of single-integrator multiagent systems in the presence measurement noise. To attenuate noise, a time-varying gain q(t) is introduced into stochastic approximation-type protocol. Necessary and sufficient conditions for ensuring strong mean square are given. In particular, absence convergence speed error dynamics dependent on eigenvalues Laplacian rate ∫ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML"...

This study considers the effects of measurement noises on bipartite consensus over undirected signed graphs. Each agent has to design a protocol based imprecise information caused by noises. To reduce detrimental noises, time‐varying gain ( t ) is introduced and then stochastic‐type presented solve problem for first time. By means stochastic Lyapunov analysis algebraic graph theory, proved be mean‐square protocol. Particularly, in noise‐free case, not only sufficient, but also necessary...

The bipartite consensus problem for integrator multi‐agent systems over signed fixed digraphs is investigated in the presence of measurement noise. A time‐varying gain introduced and then a stochastic type protocol proposed, whose performance analysed using state transition matrix closed‐loop system. Necessary sufficient conditions ensuring mean square are obtained Furthermore, absence noise it shown that these also necessary except quadratic integrability gain. It found digraph being...

Leader-following cluster consensus is investigated for multiagent systems with weighted cooperative–competitive networks and measurement noise. A stochastic approximation protocol proposed interactively balanced sub-balanced networks, pinning control introduced to deal the divergence phenomenon in unbalanced networks. With these protocols, sufficient conditions reaching a strong mean-square leader-following are established all three types of which also extended cases without Numerical...

Abstract The bipartite consensus problem is investigated for double‐integrator multi‐agent systems in the presence of measurement noise. A distributed protocol with time‐varying gain proposed. By using tools state transition matrix and algebraic graph theory, necessary sufficient conditions designed to be a mean square linear χ ‐consensus are given. It shown that signed digraph being structurally balanced having spanning tree not only sufficient, but also consensus. Furthermore, proved...

Abstract The consensus tracking control problem for singular multi‐agent systems (SMASs) with Lipschitz nonlinearities and unknown disturbances is investigated. An extended state observer using only the relative output information introduced then a distributed protocol proposed, whose performance analyzed matrix analysis, system theory Lyapunov stability theory. Sufficient conditions ensuring disturbance rejection of linear nonlinear SMASs are, respectively, obtained under directed networks....

This article aims to solve the output consensus problem for singular heterogeneous multiagent systems (MASs) subject input saturation and disturbances under leader–follower communication topology. By low-gain feedback technique regulation theory, a distributed observer-based protocol is proposed. To guarantee without involving global information of considered MAS, an adaptive control scheme further constructed address this problem, which enables it be implemented in fully fashion. With help...

Robust bipartite output regulation of linear uncertain multi-agent systems is studied over a signed digraph. Since only parts agents have access to the information exosystem, distributed observer introduced estimate exosystem state for each agent. Then, control protocol proposed based on internal model method and exosystem. By exploiting matrix analysis algebraic graph theory, sufficient conditions achieving robust are given. It shown that system being structurally balanced augmented having...

We study the oscillatory properties of following even order delay dynamic equations with nonlinearities given by Riemann-Stieltjes integrals:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:msup><mml:mrow><mml:mfenced open="|" close="|"...

This paper studies bipartite consensus for first-order multiagent systems. To improve resource utilization, event-based protocols are considered consensus. A new type of control gain is designed in the proposed protocols. By appropriate selection gains, convergence rate closed-loop system can be adjusted. Firstly, structural balance case, necessary and sufficient conditions given on communication relations gains to achieve Secondly, unbalance ensure stabilizing system. It found that will not...

We establish several oscillation criteria for a class of second-order neutral delay dynamic equations with nonlinearities given by Riemann-Stieltjes integrals. Our results extend and unify number other existing handle the cases which are not covered known criteria. The new we obtain significance because study allow an infinite nonlinear terms even continuum nonlinearities.

Event-triggered bipartite consensus of single-integrator multi-agent systems is investigated in the presence measurement noise. A time-varying gain function proposed event-triggered protocol to reduce negative effects noise corrupted information processed by agents. Using state transition matrix, It<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi...

Cluster consensus is investigated for multiple coupled harmonic oscillators under a weighted cooperative-competitive network. Consensus protocols three categories of communication networks are constructed by employing gain, and sufficient conditions guaranteeing cluster obtained. It found that the proposed protocols, states all can be guaranteed to reach periodic orbits same in frequency no matter which belong to. In particular, partitions here not given prior, but determined topology among...

The sign‐consensus problem for linear time‐invariant systems under signed digraph is considered. information of the agents’ states reconstructed, and then, a state observer‐type protocol proposed, whose performance analyzed using matrix analysis ordinary differential equation theory. Sufficient conditions ensuring are given. It proven that if adjacency has strong Perron–Frobenius property or eventually positive, can be achieved proposed protocol. In particular, conventional consensus special...