共查询到20条相似文献,搜索用时 15 毫秒
1.
V. Y. Glizer 《Journal of Optimization Theory and Applications》1996,88(3):503-539
A planar constant-speed interception with prescribed end conditions is analyzed. The performance index is the time of capture penalized by the control energy. For this problem, the optimal control of the pursuer is obtained in closed form, based on solving a set of nonlinear algebraic equations involving elliptic integrals. The construction of the solution is inspired by the singularly perturbed structure of the nondimensional equations of motion.This research was supported in part by the Ministry of Immigrant Absorption, Center for Absorption in Science, Jerusalem, Israel. 相似文献
2.
Existence and Approximate Controllability of Solutions for an Impulsive Evolution Equation with Nonlocal Conditions in Banach Space 下载免费PDF全文
Lixin Sheng Weimin Hu You-Hui Su Yongzhen Yun 《Journal of Nonlinear Modeling and Analysis》2024,6(1):194-209
In this article, we study the existence of mild solutions and approximate controllability for non-autonomous impulsive evolution equations with nonlocal conditions in Banach space. The existence of mild solutions and some conditions for approximate controllability of these non-autonomous impulsive evolution equations are given by using the Krasnoselskii''s fixed point theorem, the theory of evolution family and the resolvent operator. In particular,the impulsive functions are supposed to be continuous and the nonlocal item is divided into Lipschitz continuous and completely bounded. An example is given as an application of the results. 相似文献
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在原始规划可行集上引入了正则的概念,并在此正则条件下,研究了更一般的概率约束规划问题的稳定性.在一定的条件下,得到了概率约束规划逼近最优解集的稳定性和最优值的连续性,从而对近似求解这类问题提供了某种理论依据. 相似文献
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本文研究一类非光滑向量均衡问题(Vector Equilibrium Problem)(VEP)关于近似拟全局真有效解的最优性条件.首先,利用凸集的拟相对内部型分离定理和Clarke次微分的性质,得到了问题(VEP)关于近似拟全局真有效解的最优性必要条件.其次,引入近似伪拟凸函数的概念,并给出具体实例验证其存在性,且在该凸性假设下建立了问题(VEP)关于近似拟全局真有效解的充分条件.最后,利用Tammer函数以及构建满足一定性质的非线性泛函,得到了问题(VEP)近似拟全局真有效解的标量化定理. 相似文献
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非局部条件下半线性微分方程的适度解 总被引:1,自引:0,他引:1
讨论了Banach空间中非局部条件下半线性微分方程的适度解的存在性,利用不动点和非紧测度的方法,给出了在不需要半群紧性条件下方程适度解的存在性,并且对f是连续紧算子和f是Lipschitz连续的情形做了统一处理,从而得到了更为广泛和一般性的结果. 相似文献
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本文我们考虑如下二阶奇异差分边值问题\begin{equation*}\begin{cases}-\Delta^{2} u(t-1)=\lambda g(t)f(u) ,\ t\in [1,T]_\mathbb{Z},\\u(0)=0,\\ \Delta u(T)+c(u(T+1))u(T+1)=0,\end{cases}\end{equation*}正解的存在性. 其中, $\lambda>0$, $f:(0,\infty)\rightarrow \mathbb{R}$ 是连续的,且允许在~$0$ 处奇异.通过引入一个新的全连续算子, 我们建立正解的存在性. 相似文献
8.
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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R. S. Chowdhry J. Z. Ben-Asher E. M. Cliff 《Journal of Optimization Theory and Applications》1991,70(1):57-78
Optimal rigid body angular motions are investigated in the absence of direct control over one of the angular velocity components, via an approximate dynamic model. An analysis of first-order necessary conditions for optimality with the proposed model reveals that, over a large range of boundary conditions, there are, in general, several distinct extremal solutions. A classification in terms of subfamilies of extremal solutions is presented. Second-order necessary conditions are investigated to establish local optimality for the candidate minimizers.This work was supported in part by DARPA Contract No. ACMP-F49620-87-C-0116 and by Air Force Grant AFOSR-89-0001. 相似文献
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In this paper, we establish sufficient conditions for the controllability of semilinear evolution systems in Banach space with nonlocal conditions. We rely on a fixed-point theorem for compact maps due to Schaefer. 相似文献
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Controllability of Second-Order Differential Inclusions in Banach Spaces with Nonlocal Conditions 总被引:3,自引:0,他引:3
In this paper, we establish sufficient conditions for the controllability ofsecond-order differential inclusions in Banach spaces with nonlocalconditions. We rely on a fixed-point theorem for condensing maps due toMartelli. 相似文献
12.
Existence of Solutions for Fractional
Integro-differential Equations with Impulsive and
Integral Conditions 下载免费PDF全文
This paper presents the existence of solutions for a class of Cauchy
problems with integral condition for impulsive fractional integro-differential
equations. Based on definition of solution for impulsive fractional integro-
differential equations, the existence theorems of solutions of fractional differ-
ential equation are obtained by applying fixed point methods. Finally, three
examples are given to demonstrate the feasibility of the obtained results. 相似文献
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利用Avery-Henderson不动点定理,研究了含积分边界条件的二阶边值问题正解的存在性,推广了以往的结果. 相似文献
14.
In this paper, we establish sufficient conditions for the controllability on semi-infinite intervals of second-order differential inclusions in Banach spaces with nonlocal conditions. We rely on a fixed-point theorem due to Ma, which is an extension to multivalued maps of the Schaefer theorem on locally convex topological spaces. 相似文献
15.
利用凸性方法得到了具动力边界条件的半线性Kirchhoff方程整体解的不存在性. 相似文献
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Controllability Results for Semilinear Evolution Inclusions with Nonlocal Conditions 总被引:1,自引:0,他引:1
M. Benchohra E.P. Gatsori S.K. Ntouyas 《Journal of Optimization Theory and Applications》2003,118(3):493-513
In this paper, we prove controllabillity results for mild solutions defined on a compact real interval for first-order semilinear differential and integrodifferential evolution inclusions in Banach spaces with nonlocal conditions. By using suitable fixed-point theorems, we study the cases when the multivalued map has convex values as well as nonconvex values. 相似文献
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本文考虑形如的非线性四阶微分方程非局部边值问题,这里a,b∈L~1[0,1],g:(0,1)→[0,∞)在(0,1)上连续、对称,且可能在t=0和t=1处奇异.f:[0,1]×[0,∞)→[0,∞)连续且对所有x∈[0,∞],f(·,x)在[0,1]上对称.在某些适当的增长性条件下,应用Krasnoselskii不动点定理证明了对称正解的存在性和多重性. 相似文献
19.
Valeriano Antunes de Oliveira Geraldo Nunes Silva 《Numerical Functional Analysis & Optimization》2019,40(8):867-887
It is well-known in optimal control theory that the maximum principle, in general, furnishes only necessary optimality conditions for an admissible process to be an optimal one. It is also well-known that if a process satisfies the maximum principle in a problem with convex data, the maximum principle turns to be likewise a sufficient condition. Here an invexity type condition for state constrained optimal control problems is defined and shown to be a sufficient optimality condition. Further, it is demonstrated that all optimal control problems where all extremal processes are optimal necessarily obey this invexity condition. Thus optimal control problems which satisfy such a condition constitute the most general class of problems where the maximum principle becomes automatically a set of sufficient optimality conditions. 相似文献
20.
The existence and uniqueness of weak solutions to the 2-dimensional
reaction diffusion system with superdiffusion and the optimal control of such
model are investigated in this paper. Fractional function spaces, Galerkin ap-
proximation method and Gronwall inequality are used to obtain the existence
and uniqueness of weak solutions. On this basis, an optimal control prob-
lem of such superdiffusive system is further considered by using the minimal
sequence. 相似文献