共查询到19条相似文献,搜索用时 265 毫秒
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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. 相似文献
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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. 相似文献
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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. 相似文献
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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. 相似文献
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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. 相似文献
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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. 相似文献
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带有非局部条件积分微分包含的可控性 总被引:1,自引:1,他引:0
曲绍平 《数学的实践与认识》2007,37(16):157-163
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. 相似文献
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K. BalachandranD.G. Park Y.C. Kwun 《Journal of Mathematical Analysis and Applications》2002,268(2):457-465
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. 相似文献
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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. 相似文献
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Anurag Shukla Urvashi Arora N. Sukavanam 《Journal of Applied Mathematics and Computing》2015,49(1-2):513-527
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. 相似文献
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Controllability Results for Second Order Neutral Impulsive Integrodifferential Systems 总被引:1,自引:0,他引:1
B. Radhakrishnan K. Balachandran 《Journal of Optimization Theory and Applications》2011,151(3):589-612
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. 相似文献
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Krzysztof Rykaczewski 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(5):2701-2712
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. 相似文献
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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. 相似文献
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Rabha W.Ibrahim 《高校应用数学学报(英文版)》2009,24(2):175-183
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. 相似文献
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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. 相似文献
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K. Sakthivel G. Devipriya K. Balachandran J.-H. Kim 《Numerical Functional Analysis & Optimization》2013,34(7):831-851
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. 相似文献