PERMANENCE OF A DISCRETE SINGLE SPECIES SYSTEM WITH DELAYS AND FEEDBACK CONTROL

In this paper,a discrete single species system with time delays and feedback control is considered.Sufficient conditions which guarantee the permanence of all positive solutions to this discrete system are obtained.The results show that the feedback control is harmless for the permanence of the species.     

BOUNDARY FEEDBACK CONTROL OF ELASTIC BEAM EQUATION WITH STRUCTURAL DAMPING AND STABILITY

In this paper, we consider the partial differential equation of an elastic beam with structuraldamping by boundary feedback control. First, we prove this closed system is well--posed; then weestablish tbe exponential stability for this elastic system by using a theorem whichbelongs to F. L.Huang; finally, we discuss the distribution and multiplicity of the spectrum of this system. Theseresults are very important and useful in practical applications.     

PERMANENCE IN A SINGLE SPECIES NON-AUTONOMOUS SYSTEM WITH PURE-DELAY AND FEEDBACK CONTROL

In this paper, we consider a single species non-autonomous system with pure-delay and feedback control. Sufficient conditions of integrable form for the permanence of species are established.     

具有状态反馈控制的合作系统的周期解（英文）

In this paper,we propose a semi-continuous dynamical system to study the cooperative system with feedback control.Based on geometrical analysis and the analogue of Poincaré criterion,the existence and stability of the positive order one periodic solutions are given.Numerical results are carried out to illustrate the feasibility of our main results.     

CONTROLLING HYPERCHAOS IN A NEW HYPERCHAOTIC SYSTEM

In this paper,the control strategies for a new hyperchaotic system is investiga-ted. Several kinds of feedback controllers are constructed,such as the linear,speed,nonlinear doubly-periodic function feedback controllers. These controllers are used to prevent the new hyperchaos becoming an unstable equilibrium. Finally,numerical simulations are used to verify the effectiveness of the proposed controllers.     

OPTIMAL CONTROL FOR LINEAR SYSTEM WITH QUADRATIC INDEFINITE CRITERION ON HILBERT SPACES

In this paper we consider optimal control problems for linear system on real separableHilbert spaces with quadratic criterion,in which the state weighted operators are indefinite.Wellposedness and solvability,existence and uniqueness of optimal control are discussed.Weprove that the closed-loop syntheses of optimal control are state linear feedback.Existence ofsolutions of related operator Riccati equations is investigated.     

NOTE ON THE PARTIAL SURVIVAL OF A TWO SPECIES LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH INFINITE DELAYS AND FEEDBACK CONTROLS

A two species Lotka-Volterra competitive system with infinite delays and feedback controls is studied in this paper.By constructing a suitable Lyapunov functional,we show that if the Lotka-Volterra competitive system is bistable(in the absence of feedback controls),then by choosing some suitable values of feedback control variables,one of the species is driven to extinction while the other one becomes globally stable.Examples together with their numerical simulations are presented to verify the feasibility of our results.Our results not only improve but also complement those of Z.Li,M.A.Han and F.D.Chen[Influence of feedback controls on an autonomous Lotka-Volterra competitive system with infinite delays,Nonlinear Anal.:Real World Appl.,14(2013),402-413].     

Global Stability of a Stochastic Lotka-Volterra Cooperative System with Two Feedback Controls

In this paper, a class of Lotka-Volterra cooperation system and corresponding stochastic system with two feedback controls which are a?ected by all species are considered. We obtain some su?cient criteria for local stability and global asymptotic stability of equilibria of the systems. Our study shows that these equilibria could be globally stable by adjusting coe?cients of the feedback control variables and stochastic perturbation parameters. Numerical simulations are presented to demonstrate our main result.     

Output Feedback H∞ Control for a Class of Nonlinear Stochastic Systems

This paper deals with the output feedback H∞ control problem for a class of nonlinear stochastic systems. Based on the latest developed theory of stochastic dissipation, a notable result about the nonlinear H∞ output feedback control of deterministic system is generalized to the stochastic case. Finally, in the cases of state feedback and output feedback, two families of controllers are provided respectively.     

一类具有状态依赖脉冲影响的捕食者-食饵模型动力学分析（英文）

In this paper, a pest-dependent model and integrated pest management strategy is proposed, that is, when pest populations reach levels that impair economic development, we will use a combination of strategies, such as biological, cultural and chemical control strategies reduce pests to a reasonable level. First, we investigated the system without control measures, and discussed the existence and stability of equilibria,we also proved the system has no limit cycle. Then, a state feedback impulsiv...     

Singular Stabilization and H∞ Control of Nonlinear Systems with Ordinary Homogeneous Properties

In this paper, the nonlinear singular stabilization, H∞control problem of systems with ordinary homogeneous properties is considered. At first, we discuss the stabilization problems of nonlinear systems with homogeneous. Secondly, by vitue of Hamilton-Jacobi-Isaacs equations or inequalities, we solve regular H∞, of nonlinear systems with homogeneous properties. To overcome the H∞, problem of singular nonlinear system, we try to transform inputs of the singular nonlinear system into two parts: regular part input and singular part input. Following the previous results, we solve the singular nonlinear system H∞control, we give the Lyapunov function and the state feedback controller of the singular nonlinear systems with homogeneous properties.     

ON THE PERSISTENT PROPERTY OF A DELAYED NON-AUTONOMOUS SCHOENER MODEL WITH FEEDBACK CONTROL

We study a delayed non-autonomous Schoener model with feedback control, which was proposed by Qiming Liu, Rui Xu and Pinghua Yang [8]. By applying a differential inequality and some analysis technique, we show that under some suitable assumptions, the feedback control variable has no influence on the persistent property of the system. Our result improves the existing ones.     

DYNAMICS OF THE NONAUTONOMOUS SCHONER MODEL WITH FEEDBACK CONTROL AND DIFFUSION

This paper consider a nonautonomous schoner model with feedback control and diffusion. It is shown that the system can be made persistence. Then the existence and the uniqueness of the positive solutions and positive almost periodic solutions for corresponding periodic system and almost periodic system are also discussed.     

THE OPTIMAL FEEDBACK CONTROL OF LINEAR SYSTEMS WITH NON-CHEAP CONTROL

Consider the optimal feedback control problem of a linear system. The corresponding dynamic equation and performance index are     

A Pole Assignment Design Method of Process Control System for Tubular Heat Exchanger

This paper has first studied the simplified model of tubular heat exchanger which is widely used in the industry and other field. On the basis of reference 2,a new pole assignment design method of process control system with derivative control action is found. For the above system, the method and the formation which calculate the feedback matrix K and gain matrix L is given,and the simulation of the system is made.     

THE LIMIT CYCLES AND HOPF BIFURCATION OF A CLASS OF SIMPLIFIED HOLLING TYPE-IV PREDATOR-PREY SYSTEM WITH LINEAR STATE FEEDBACK

In this paper, a class of simplified Type-IV predator-prey system with linear state feedback is investigated. We prove the boundedness of the positive solutions to this system, and analyze the quality of the equilibria and the existence of limit cycles of the system surrounding the positive equilibra. By Hopf bifurcation theory, the result of having two limit cycles to the system is obtained.     

Forward-backward Stochastic Differential Equations and Backward Linear Quadratic Stochastic Optimal Control Problem

In this paper, we use the solutions of forward-backward stochastic differential equations to get the optimal control for backward stochastic linear quadratic optimal control problem. And we also give the linear feedback regulator for the optimal control problem by using the solutions of a group of Riccati equations.     

OPTIMAL CONTROL PROBLEMS WITH HYBRID QUADRATIC CRITERIA

In this paper, the author investigates optimal control problems of continuous time linear system with hybrid quadratic criteria such as J(u)=sum from i=1 to N integral from 0 to t_f dt. Closed-loop results are obtained in which the optimal control can be expressed by means of state values measured only at these discrete-time points. Formulae are given for determination of feedback operators.     

THE FEEDBACK DELAY IN DIGITAL CONTROL

It is a fact that the feedback delay actually ariese in digital control systems.It is necessary to modify the structure of digital control systems and develop new control algorithms,which is done in this paper.A great number of digital computer simulation experiments have shown the obvious advantage of the new algorithms.     

PERMANENCE AND GLOBAL ATTRACTIVITY OF N-SPECIES COOPERATION SYSTEM WITH DISCRETE TIME DELAYS AND FEEDBACK CONTROLS

In this paper, we consider the N-species cooperation system with discrete time delays and feedback controls. By using the differential inequality theory and constructing a suitable Lyapunov functional, we obtain sufficient conditions which guarantee the permanence and the global attractivity of the system.