In this article, the problem of adaptive decentralized control is investigated for a class of interconnected time-delay uncertain nonlinear systems with different unknown control directions and deferred asymmetric time-varying (DTV) full-state constraints. By constructing the novel time-varying asymmetric integral barrier Lyapunov function (TVAIBLF), the conservative limitation of constant integral barrier Lyapunov function (IBLF) or symmetric IBLF is reduced and the need on the prior knowledge of control gains is also avoided, while the deferred constraints directly imposed on the states of system are achieved by introducing the shifting function into the controller design. Furthermore, based on the Nussbaum-type functions, a new adaptive decentralized control strategy for interconnected time-delay nonlinear systems with subsystems having different control directions is proposed via backstepping method. And it is proven that the proposed control method can guarantee that all signals in closed-loop system are bounded and the transform errors asymptotically converge to zero. Finally, the effectiveness of the proposed control strategy is illustrated through the simulation results.

This brief focuses on the problem of prescribed-time mean-square control for uncertain stochastic high-order (p-normal) nonlinear systems. Compared to existing results, a more general model is considered. First, a prescribed-time mean-square stable controller is constructed with the assistance of the power integrator technique, the time-varying prescribed-time function and a non-scaling framework. Then, based on the stability theorem of stochastic systems and the useful proposition of the selected Lyapunov function, the prescribed-time mean-square stability of all signals is analyzed. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed control strategy.

This paper investigates the dynamic event/self triggered full-state bipartite containment control for high-order nonlinear multi-agent systems (MASs) under switching topologies. Unlike existing related results, the developed scheme not only solves the full-state bipartite containment control problem, but also tolerates graph switching and even allows disconnection at certain time intervals. First, to estimate the state of the corresponding virtual leader, the high-gain compensator and observer are developed under the switching topology. Subsequently, by designing the auxiliary dynamic variables, a zeno-free dynamic event-triggered (DET) controller is designed to reduce the communication burden. Further, zeno-free dynamic self-triggered (DST) controllers are proposed to avoid continuously monitoring the states. It is proven that the controller under the DET and DST mechanisms can ensure the followers converge into the corresponding convex hull. Finally, the effectiveness of the proposed approaches is verified through the simulation of single-link manipulators and RLC circuits.

In this paper, the distributed bipartite containment control problem for high-order nonlinear multi-agent systems (MASs) with time-varying powers is investigated under signed communication topology. Unlike existing bipartite containment control problems, the powers of the systems are considered to be unknown and time-varying, and the novel bipartite containment controller is proposed. First, the dynamic gain compensator and bipartite containment observer, which could estimate the corresponding virtual leader trajectory belonging to the convex hull spanned by multiple leaders and their symmetric ones, are developed for each follower. Subsequently, with the help of observer, a novel distributed bipartite containment controller is designed by using the power integrator technique and the backstepping method to ensure that the followers converge in the convex hull spanned by multiple leaders and their symmetric ones. Finally, the effectiveness of the bipartite containment scheme is verified by a simulation example.