[PDF] Top 20 Optimal Control Methods and the Variational Approach to Differential Equations
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Optimal Control Methods and the Variational Approach to Differential Equations
... Remark Besides the important property that the formula- tion (3.16) - (3.18) of the arch problem is valid under much less regularity assumptions on the geometry, it has another surprising advantage. Namely, when C is the ... See full document
6
Variational approach to a class of impulsive differential equations
... differential equations has been emerging as an important area of investigation in recent years ...topological methods, including fixed point theorems, Leray-Schauder degree the- ory, and fixed point index ... See full document
10
Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions
... Impulsive effects exist widely in many evolution processes in which their states are changed abruptly at certain moments of time. Such processes are naturally seen in control theory 1, 2, population dynamics 3, and ... See full document
16
A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro differential equations
... of optimal control problems has been extensively inves- tigated in early ...elliptic optimal control problems by Falk [] and Geveci ...elliptic optimal control ...the ... See full document
17
Variational approach to impulsive differential system
... differential equations which occur in biology, control theory, optimization the- ory, population dynamics, medicine, mechanics, engineering and chaos theory, ... See full document
10
Variational discretization and mixed methods for semilinear parabolic optimal control problems with integral constraint
... the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral ...the control is not ... See full document
8
A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems
... Optimal control problems have been so widely met in all kinds of practical ...the optimal control problems ...the control is to make the temperature distribution y as close as to the ... See full document
14
Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods
... Fractional calculus is a generalization of classical derivatives and integrals to an arbitrary (non-integer) order. It represents a powerful tool in applied mathematics to deal with a myriad of problems from different ... See full document
15
Optimal Control of a Class of Parabolic Partial Fractional Differential Equations
... This approach, however, leads to differential equations of the process involving both left and right fractional and partial fractional derivatives, thus making the effective solution procedure more ... See full document
5
A Single Convergent Control Parameter Optimal Homotopy Asymptotic Method Approximate-Analytical Solution of Fuzzy Heat Equation
... Fuzzy differential equations (FDEs) form a major portion of a fuzzy analysis theory and are a useful tool to describe a dynamic phenomenon if its nature and data is vague (Ali ...partial differential ... See full document
6
New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems
... Non-linear differential equations can model many phenomena in different fields of science and engineering in order to present their behaviors and effects by mathematical ...the equations do not have ... See full document
6
A posteriori error estimation for a PDE constrained optimization problem involving the generalized Oseen equations
... element methods are not allowed, and second, considering standard finite element methods produces poor approximation results when convection–dominated regimes are considered ...the optimal ... See full document
35
Optimal Control of Microgrid Networks Using Gradient Descent and Differential Evolution Methods
... Optimal control theory provides a modern, direct, and systematic approach to a large variety of control design problems including constrained optimization with interconnected ...the ... See full document
7
An optimal equilibrium for a reformulated Samuelson economic discrete time system
... and control, see Apostolopoulos and Ortega (2018), Dai (1988), Dassios (2012, 2015a, 2018a), Dassios and Szajowski (2016), Dassios and Kalogeropoulos (2013), Dassios et ... See full document
10
Existence and multiplicity of solutions for a second order impulsive differential equation via variational methods
... the variational method and some specific critical point theorems, such as mountain pass lemma, fountain theorem, linking theorem, symmetric mountain pass lemma, and so on, to study the exis- tence (see [–]) and ... See full document
9
A. One Dimensional Differential Transform Method
... sine-Gordon equations by the reduced differential transform method [18-20] which is presented to overcome the demerit of complex calculation of differential transform method (DTM) ... See full document
5
A. One Dimensional Differential Transform Method
... Reduced differential transform method (RDTM) is implemented for solving the linear and nonlinear Klein Gordon ...present approach is effective and ... See full document
5
Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method
... of Variational iteration method for short (VIM) to solve the Volterra’s integro-differential ...between variational iteration method and homotopy perturbation method and draw the graph of difference ... See full document
9
Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro differential equations
... differential equations. Integral and integro-differential equations with fuzzy primal conditions have led to many practical approaches and are essential tools for various real- world problems in science and ... See full document
15
Stochastic global maximum principle for optimization with recursive utilities
... stochastic optimal control problem is to minimize J(u(·)) in (4) over U [ 0 , T ] ...the control domain U is convex, the local maximum princi- ple for this problem was studied in (Dokuchaev and Zhou ... See full document
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