In this paper, the flocking behavior and targets consensus tracking problems of heterogeneous multiple inertial agents with limited communication ranges are investigated. Consider the inertial effect of real agents, a distributed control protocol is designed such that the agents can achieve stable group behaviors. Using the decomposition approach, the stability of a multiple inertial agents system is proved. Combining with the flocking behavior of multiple inertial agents, agents themselves are in charge of searching and choosing the target in an autonomous and individual way according to the relationship between velocities of agents and targets. An augmented distributed multiflocking method is proposed to guarantee that the multitarget consensus tracking can be reached for heterogeneous multiagent systems. It shows that the proposed control approach can not only ensure local flocking with pursuing agents, but also make heterogeneous agents consistently track the multitarget.

This paper proposes a new no-equilibrium chaotic system that has the ability to yield infinitely many coexisting hidden attractors. Dynamic behaviors of the system with respect to the parameters and initial conditions are numerically studied. It shows that the system has chaotic, quasiperiodic, and periodic motions for different parameters and coexists with a large number of hidden attractors for different initial conditions. The circuit and microcontroller implementations of the system are given for illustrating its physical meaning. Also, the synchronization conditions of the system are established based on the adaptive control method.

This paper is concerned with the consensus tracking problem for heterogeneous interdependent group systems with fixed communication topologies. First, the interdependent model of the heterogeneous system is built from the perspective of the difference of the individual characteristic and the difference of the subgroup topology structure. A class of distributed consensus tracking control protocol is proposed for realizing the consensus tracking of the heterogeneous interdependent group system via using local information. Then, for fixed communication topologies, some corresponding sufficient conditions are given to ensure the achievement of the consensus tracking. Two parameters are defined, which denote, respectively, the proportion of interdependence individual and the redundancy of interdependence. The effects of these parameters are analyzed on the consensus tracking of group systems. Numerical simulations are provided to illustrate the effectiveness of the theoretical analysis.

This paper focuses on consensus tracking problem of heterogeneous multi-agent systems (HMASs) with disturbances and directed graphs. First, nonlinear dynamical models are given for first-order, second-order agents and mobile target. With introducing a distributed filtering method, the immeasurable velocities of agents and the mobile target are estimated by their positional informations. The proposed integral sliding mode control protocols can implement on finite-time consensus tracking of HMASs. Then, using Lyapunov method, the stability of heterogeneous system is proved, and the sufficient condition is provided for achieving the finite-time consensus tracking. The simulation example further illustrates the effectiveness of theoretical results.