Banach空间中一类二阶具阻尼项的积分-微分包含的可控性

本文讨论了一类二阶具阻尼项的积分-微分包含问题.利用集值不动点定理将问题转化为求不动点问题,进而得到系统可控性的充分条件.     

Banach空间中一类具阻尼的二阶微分包含的可控性

主要研究了Banach空间一类具有阻尼项的二阶微分包含的可控性,利用集值映射不动点定理,讨论了集值函数取凸值的情况,给出了微分包含可控性的充分条件.     

一类非线性年龄等级结构种群系统模型的可控性

研究一类基于年龄等级差异的种群系统的近似可控性问题,状态方程由非线性偏微分-积分方程描述,且边界条件具有全局反馈特征.运用冻结系数法、线性系统可控性和集值映射不动点原理确立了系统可控性,表明了种群状态可通过个体迁移调节.     

二阶非线性中立型无限时滞随机微分包含的可控性

本文主要在希尔伯特空间中讨论了二阶非线性中立型无限时滞随机微分包含的可控性问题.利用凝聚不动点定理得到了系统可控的一个充分性条件.     

年龄等级结构捕食种群系统的可控性与镇定

研究一类基于个体年龄的等级结构捕食种群系统模型的近似可控性及零解镇定问题.以线性系统的可控性结果为基础,运用多值映射的不动点方法证明了非线性系统的可控性,通过构造辅助的最优控制问题给出了控制策略的选取原则.当零解不稳定时,借助反馈控制和共轭系统对镇定所需的迁移控制作了精细描述.     

一类非线性分数阶中立型系统的全局可控性(英文)

本文研究一类非线性分数阶中立型系统的可控性问题.首先,讨论解的存在唯一性;然后基于Krasnoselskii’s不动点理论,得到系统全局可控的充分条件.     

一类非线性分数阶中立型系统的全局可控性[英文]

本文研究了一类非线性分数阶中立型系统的可控性问题.首先,我们讨论了解的存在唯一性;然后基于Krasnoselskii''s 不动点理论,我们得到了系统全局可控的充分条件.     

具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性

本文研究具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性.假设多值非线性和脉冲函数满足由非紧性测度表示的正则性条件,利用非紧性测度理论和多值凝聚不动点定理,得到这类微分包含的可控性的充分条件.     

带有非局部条件积分微分包含的可控性

研究了一类带有非局部条件积分微分包含的可控性,利用Kakutani不动点定理和Schauder不动点定理,我们给出了凸和非凸两种情形可控性的充分条件.     

预解算子控制的非局部分数阶微分方程解的存在性和近似可控性（英文）

利用解析预解算子理论以及不动点定理,讨论了非局部分数阶微分方程在非局部项失去Lipschitz连续和紧的条件下温和解的存在性和近似可控性.最后给出了定理的一个应用例.     

Comparison Theorems for Controllability of Nonlinear Volterra Integrodifferential Systems

Sufficient conditions are derived for controllability of nonlinear Volterra integrodifferential systems. Here the controllability problem is transformed into a fixed point problem for some operator with the help of the notion of the comparison principle and the results are obtained by using the Schauder fixed point theorem.     

Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay

In this paper, the controllability problem is discussed for the damped second-order impulsive neutral functional differential systems with infinite delay in Banach spaces. Sufficient conditions for controllability results are derived by means of the Sadovskii fixed point theorem combined with a noncompact condition on the cosine family of operators. An example is provided to illustrate the theory.     

Approximate controllability of retarded semilinear stochastic system with non local conditions

This paper deals with the approximate controllability of retarded semilinear stochastic system with nonlocal conditions in Hilbert Spaces under the assumption that the corresponding linear system is approximately controllable. The control function for this system is suitably constructed by using the infinite dimensional controllability operator. With this control function, the sufficient conditions for the approximate controllability of the proposed problem in Hilbert Space are established. The results are obtained by using Banach fixed point theorem. Finally, two examples are provided to illustrate the application of the obtained results.     

Controllability Results for Second Order Neutral Impulsive Integrodifferential Systems

In this paper, we address the problem of controllability for abstract second order neutral integrodifferential systems with impulsive conditions in Banach spaces. Furthermore, we discuss the controllability of second-order neutral integrodifferential systems in finite dimensional spaces. The results are obtained by using strongly continuous cosine families of operators and the Banach fixed point theorem.     

Approximate controllability of differential inclusions in Hilbert spaces

In this paper, controllability for the system originating from semilinear functional differential equations in Hilbert spaces is studied. We consider the problem of approximate controllability of semilinear differential inclusion assuming that semigroup, generated by the linear part of the inclusion, is compact and under the assumption that the corresponding linear system is approximately controllable. By using resolvent of controllability Gramian operator and fixed point theorem, sufficient conditions have been formulated and proved. An example is presented to illustrate the utility and applicability of the proposed method.     

Continuous solutions for fractional integral inclusion in locally convex topological space

The existence of continuous solutions for fractional integral inclusion via its singlevalued problem and fixed point theorem for set-valued function in locally convex topological spaces is discussed. The proof of the single-valued problem will be based on the Leray- Schauder fixed point theorem. Moreover, the controllability of this solution is studied.     

Controllability of impulsive neutral functional evolution integrodifferential systems with infinite delay

In this paper we establish sufficient conditions for the approximate controllability of impulsive neutral functional evolution integrodifferential systems in Hilbert spaces. Also we study the exact controllability of the same system. The conditions are obtained by using Schauder’s fixed point theorem when the operator is compact and the Banach fixed point theorem when the operator is not compact. The results are obtained by using the evolution operators.     

Approximate controllability of semilinear functional equations in Hilbert spaces

In this paper approximate and complete controllability for semilinear functional differential systems is studied in Hilbert spaces. Sufficient conditions are established for each of these types of controllability. The results address the limitation that linear systems in infinite-dimensional spaces with compact semigroup cannot be completely controllable. The conditions are obtained by using the Schauder fixed point theorem when the semigroup is compact and the Banach fixed point theorem when the semigroup is not compact.     

Controllability of a Reaction-Diffusion System Describing Predator–Prey Model

This article establishes the controllability to the trajectories of a reaction-diffusion-advection system describing predator–prey model by using distributed controls acting on a single equation with the no-flux boundary conditions. We first prove the exact null controllability of an associated linearized problem by establishing an observability estimate, derived from a global Carleman type inequality, for the adjoint system. The proof of the nonlinear problem relies on the suitable regularity of the control and Kakutani's fixed point theorem.