This paper addresses the linear quadratic regulator optimal leader-following consensus for multiagent systems in a single-integrator form. Substantially different from existing related works, cost function, global one, and topology structure are both pregiven, protocol to be sought is distributed (which merely depends on relative state information). violates design based algebraic Riccati equation, although centralized can derived. To solve problem, novel strategy of proposed over digraph...

Abstract This paper is concerned with the adaptive leader‐following consensus for first‐ and second‐order uncertain nonlinear multi‐agent systems (NMASs) single‐ double‐integrator leader, respectively. Remarkably, control coefficients of followers need not belong to any known finite interval, which makes in question essentially different from those related works. Moreover, parameterized unknowns exist nonlinearities followers, unknown input imposed on make problems difficult solve. To...

This paper focuses on the almost sure consensus via time-varying feedback for a class of uncertain stochastic nonlinear multiagent systems. A remarkable feature systems is that nonlinearities allow serious unknowns and time-variations. Moreover, there exists no known bound unknown control coefficients. To handle time-variations, scheme developed. The main idea to incorporate delicate function time into protocols such time-variations can be compensated as increases. Based proposed protocols,...

This paper provides a review of some main works and research progress in distributed optimal consensus problems multi-agent systems. Classical common methods this area are summarized, such as Riccati design, adaptive dynamic programming inverse control. detailedly addresses the design schemes protocols by reviewing several typical literatures. Furthermore, difficulties challenges for solving to systems pointed out future directions also proposed.

In this paper, we study a stochastic nutrient-phytoplankton-zooplankton model with cell size that represents the interaction between internal mechanism of species and external environment. We first investigate existence uniqueness global positive solution initial values. Then construct sufficient conditions for an ergodic stationary distribution solution. Once more, find large noise intensities cause extinctions phytoplankton zooplankton. Finally, numerical simulations are given to verify...

In this paper, finite-time consensus tracking is investigated via time-varying feedback for uncertain nonlinear multi-agent systems (NMASs). The presence of inherent uncertainties and disturbances in the NMASs highlights main novelty : (1) imply that more serious unknowns time-variations are allowed nonlineartities control coefficients NMASs. (2) mean upper bound unknown. To compensate disturbances, protocols proposed by integrating technique sliding mode method. Based on protocols,...

The random changes in the environment play a crucial role sustainability of ecosystems. Usually, construction stochastic models does not take into account non-linear growth intrinsic rate. In addition, prey only considers collective response population when encountering predators and ignores individual prey. To address this issue, we contemplate dynamics prey–predator model with Smith rate cooperative defense. density is measured by mass, limitations are based on proportion unused available...

This paper is devoted to the leader-follower consensus problem for nonlinear multi-agent systems. Remarkably, control coefficients in systems are unknown which makes rather difficult solve. By employing distributed adaptive protocols, achieved under undirected connected graph first-order Furthermore, similar results general case obtained second-order At last, two simulation examples given show effectiveness of protocols.

This paper investigates Turing instability and Hopf bifurcation for a diffusive plankton system with time delay cell size. To determine the effects of diffusion size on dynamics system, we first study without delay, where conditions stability coexisting equilibrium are obtained through Routh-Hurwitz criterion. Then give existence using as parameter by analyzing distribution eigenvalues, derive property applying centre manifold theory. Finally, numerical simulation shows that different...

This study examines the leader-following formation control problem for a particular class of nonlinear multi-agent systems with external disturbances. First all, system's disturbance is compensated by observer. Second, adaptive technique used to provide completely distributed protocol. It demonstrated that protocol capable achieving system choosing suitable parameters. Then validity verified using simulated example.

This paper investigates the consensus for a class of first-order stochastic nonlinear multi-agent systems. Different from related results, systems allow serious unknown control coefficients and parametric unknowns in nonlinearities. To compensate unknowns, distributed time-varying protocol is proposed. The key proposed to introduce gain which used capture as time increases. Based on protocol, almost sure achieved under strongly connected graph. A simulation example finally provided verify...

This paper investigates the optimal leader-following consensus for nonlinear heterogeneous multi-agent systems, namely, dynamics of all agents including followers and one leader are different. Essentially different from existing related literature, protocol each follower is restricted by a pre-specified constant. makes classical quadratic cost function inapplicable, which an unconstrained obtained. To derive constrained protocol, this adopts nonquadratic functional, takes constraints into...

This paper addresses the control configuration design problem of bilinear networked systems. The cost values controlling or measuring variables different states are nonnegative and nonuniform among agents. These state directly actuated measured by virtual nodes which introduced for design. Firstly, we model as an optimization problem: minimum (MCMCC). Next, necessary condition solvability MCMCC is derived. At same time, algorithm given to provide optimal solution via issue transformation....

In this paper, we studies the leader-following consensus for a class of uncertain nonlinear multi-agent systems (N-MASs) via switching learning control method. The novelties are reflected in unknown input disturbances, Lipschitz rate and directions. These unknowns make problem different from existing related literature. To capture these unknowns, propose distributed protocol based on logic scheme, which guarantees consensus.

We develop an event-triggered control methodology, which includes a distributed protocol and event sampling strategy, to address the formation problem for second-order nonlinear multi-agent systems. use Lyapunov method design ensures that all agents can maintain under influence of mechanism. Additionally, we ensure endless triggering events in finite time, commonly referred as Zeno behavior, do not occur by incorporating technique obeys certain criteria. Ultimately, efficacy algorithm is...

This paper studies the almost sure containment via time-varying feedback for a class of stochastic nonlinear multi-agent systems. The systems in question allow serious unknowns nonlinearities and control coefficient. For this, gain is incorporated to compensate serous unknowns, where key idea introduce an increasing function which only dependent on time such that are captured as increases. Based distributed protocol designed achieve containment. A simulation example provided illustrate...

This paper investigates state feedback controller design for a class of feedforward nonlinear systems in the presence measurement noise. Since control coefficient is uncertain, procedure more challenging. The noise, i.e., sensor has bounded magnitude, frequency and phase. A low-pass filter contained proposed which used to attenuate It shown that closed-loop system whose Ultimate Bound (UB) depends on magnitude Finally, simulation example given illustrate that, if noise enters only partial...

This paper investigates the effects of defense and offense in a random predator-prey model. We give uniqueness global positive solution detail, ergodicity unique stationary distribution, extinction organisms, also some numerical simulations to verify correctness theoretical analysis.

We investigate multiagent systems with unknown nonlinearities and external disturbances To capture these unknowns, we design continuous distributed time-varying consensus protocols. Under designed conditions, achieve finite time consensus.Finally, give an example to verify the validation of

A diffusive model with spatiotemporal delay subject to Neumann boundary condition is analyzed in this paper. The stability of the positive constant solutions discussed. By maximum principle and Harnack inequality, a priori estimate nonconstant steady states given. Then, nonexistence existence reaction-diffusion are established, which demonstrates that large diffusion rate can create stationary patterns.