This brief presents a novel control scheme to achieve fast fixed-time system stabilization. Based on stability theory, stable is presented. Using the proposed system, nonsingular terminal sliding mode method derived. Our achieves stabilization within bounded time independent of initial condition and has an advantage in convergence rate over existing result method. The strategy applied suppress chaotic oscillation power systems, its effectiveness as well superiority verified through numerical...

This paper studies fixed-time leader-following lag consensus problem of second-order multiagent systems with input delay. Using distributed observer, we obtain the leader's states for each followers. An extension Artstein's reducing transformation is employed to transform delayed error system into a without time delay and novel nonsingular terminal sliding mode protocol proposed achieve consensus. The presented controller can avoid singularity, eliminate chattering, exact convergence. It...

In this paper, the predefined-time consensus tracking problem of second-order multiagent systems (MASs) is investigated. A distributed observer presented to estimate error for each follower within predefined time. novel sliding surface constructed ensure system convergence along and a terminal mode protocol overcome singularity achieve leader-following It mathematically proved that followers' states can track leader's trajectory particular, settling time bound directly related tunable...

This paper introduces a new hyperchaotic system by adding an additional state into the third-order Liu chaotic system. Some of its basic dynamical properties, such as attractor, Lyapunov exponent, fractal dimension and attractor evolving chaotic, periodic, quasi-periodic behaviours varying parameter d are studied briefly. Various attractors illustrated not only computer simulation but also conducting electronic circuit experiment.

This brief presents a fixed-time disturbance observer for Brunovsky systems. The proposed is composed of uniform convergent part and finite time part. first drives the estimation error trajectories into compact set containing origin then achieves exact estimation. can achieve within upper bounded by constant independent initial error. In addition, bound be calculated theoretically. Numerical simulations are provided to demonstrate effectiveness verify declared property.

A novel 5-dimensional (5D) memristive chaotic system is proposed, in which multi-scroll hidden attractors and multi-wing can be observed on different phase planes. The dynamical has multiple lines of equilibria or no equilibrium when the parameters are appropriately selected, have nothing to do with equilibria. Particularly, numbers sensitive transient simulation time initial values. Dynamical properties system, such as plane, series, frequency spectra, Lyapunov exponent, Poincare map,...

In this paper, chaotic behaviours in the fractional-order Liu system are studied. Based on approximation theory of operator, circuits designed to simulate fractional- order with q = 0.1 - 0.9 a step 0.1, and an experiment has demonstrated 2.7–order system. The simulation results prove that chaos exists indeed as low 0.3. experimental can be realized by using hardware devices, which lays foundation for its practical applications.

This paper studies the chaotic behaviours of fractional-order unified system. Based on approximation method in frequency domain, it proposes an electronic circuit model tree shape to realize operator. According model, is designed 2.7-order Numerical simulations and experiments have verified existence chaos fraction-order