In this paper, a reverse group consensus problem is investigated for the dynamic agents with inputs in cooperation-competition network which can be divided into two sub-networks. The weights between same sub-network are positive, while among different sub-networks negative. Then, firstly studied without in-degree balance condition. By defining mirror graph and establishing solution of multi-agent system, it found that achieved if strongly connected. explicit expression error level also...

In this paper, the swarming behavior of multiple Euler-Lagrange systems with cooperation-competition interactions is investigated, where agents can cooperate or compete each other and parameters are uncertain. The distributed stabilization problem first studied, by introducing an auxiliary system to agent, common assumption that network satisfies digon sign-symmetry condition removed. Based on input-output property system, it found be achieved provided cooperation subnetwork strongly...

Social synchrony (SS) is an emergent phenomenon in human society. People often mimic others which, over time, can result large groups behaving similarly. Drawing from prior empirical studies of SS online communities, here we propose a discrete network model based on four attributes: 1) depth action; 2) breadth impact, i.e., number actions are performed with group people involved; 3) heterogeneity role, higher degree play more important roles; and 4) lastly, emergence phenomenon, it far...

In this paper, the finite-time coordination behavior of multiple Euler-Lagrange systems in cooperation-competition networks is investigated, where coupling weights can be either positive or negative. Then, two auxiliary variables about information exchange among agents are designed, and distributed protocol proposed based on property system. By combining approach adding a power integrator with homogeneous domination method, it shown that bipartite consensus achieved if network structurally...

Abstract This paper addresses the problem of using aperiodically intermittent control (AIC) to stabilize hybrid stochastic differential equations with pantograph delay (HSDEwPDs). The AIC, which is based on average rate, makes obtained results less conservative. It noteworthy that type considered in most existing literature, focuses systems constant or bounded time‐varying delay, renders methods ineffective studying HSDEwPDs AIC. Thus, a novel Halanay‐type inequality lemma developed serve By...

Seismic refraction, profiles in Yunnan Province, southwestern China, define the crustal structure an area of active tectonics on southern end Himalaya-Burma arc. The thickness ranges from 38 to 46 kilometers, and relatively low mean velocity indicates a composition compatible with normal continental crust consisting mainly meta-sedimentary silicic intrusive rocks, little mafic or ultramafic component. This suggests evolution involving sedimentary processes flank Yangtze platform rather than...

The collective behavior problem is addressed in this article for heterogeneous multiagent systems uncertain cooperation-competition networks. Here, the agents are described by second-order with different velocity damping terms, and uncertainty of network characterized two unknown nonzero parameters each agent. Thus, considered system can be employed to model agent four kinds relationships among agents: cooperative relationship three competitive relationships. To achieve desired behaviors, a...

Distributed stabilization problem is studied in this article for multiple heterogeneous agents the uncertain strong–weak competition network with exogenous disturbances, where are modeled by second-order systems different nonlinear intrinsic dynamics, and uncertainty characterized unknown nonzero parameters, which contains three relationships among agents: 1) cooperation; 2) strong competition; 3) weak competition. To achieve distributed stabilization, whole first divided into two parts:...

Distributed stabilization problem is investigated in this brief for a class of heterogeneous multi-agent systems (MASs) the presence exogenous disturbances and cooperation-competition interactions. Specifically, dynamics agents are governed by second-order with nonlinear intrinsic where heterogeneity mainly reflected following three aspects: agents, velocity damping terms, disturbances. With assumption that bounded, discontinuous distributed protocol associated time-varying estimator agent...

In this brief, we aim to solve the containment problem for a class of discrete-time linear multi-agent systems (MASs) with multiple interaction leaders. Agents in considered MASs will communicate their neighbors through signed digraph, i.e., relationships between neighboring agents present model may be cooperative or antagonistic, which differ from most previous research on MASs. To achieve such an MAS model, reduced-order observer-type controllers using relative outputs are developed. By...

The structural balance preserving problem is studied in this article for heterogeneous agents the state-dependent cooperation-competition network. considered are described by second-order integrator systems with different intrinsic nonlinear dynamics, and velocity damping terms, initial network structurally balanced, connected, which can be divided into two cooperation subnetworks. To solve problem, a novel classification strategy applied, where kinds of evolution rules among agents,...

A consensus problem is investigated for a group of second‐order agents with an active leader where the velocity cannot be measured, and as well all governed by same non‐linear intrinsic dynamics. To achieve in sense both position velocity, neighbour‐based estimator design approach pinning‐controlled algorithm are proposed each autonomous agent. It found that can follow leader, tracking errors estimators converge to zero asymptotically, without assuming interaction topology strongly connected...

Most engineering structures serve in complex and harsh dynamic environments suffer from nonlinear vibrations generated by random excitations such as strong winds waves, which need to be mitigated. To this end, a novel viscoelastic energy sink (VNES) device is proposed for the vibration control of structures, whereby oscillator with VNES analyzed paper. Specifically, mathematical model structure-VNES formulated. An approximate technique treatment damping element modeled fractional derivative...

A swarming behavior problem is investigated in this article for heterogeneous uncertain agents with cooperation-competition interactions. In such a problem, the are described by second-order continuous systems different intrinsic nonlinear terms, which satisfies "linearity-in-parameters" condition, and agents' models coupled together through distributed protocol containing information of competitive neighbors. Then, four types networks, Lyapunov-based redesign approach proposed agents, where...