Synthesis of Intelligent Discrete Algorithms for Estimation with Model Adaptation Based on the Combined Maximum Principle

2018 ◽  
pp. 116-124 ◽  
Author(s):  
Andrey Kostoglotov ◽  
Sergey Lazarenko ◽  
Igor Pugachev ◽  
Alexey Yachmenov
Keyword(s):  
Maximum Principle ◽  
Model Adaptation ◽  
Discrete Algorithms

Structural Adaptation of Discrete Algorithms of Combined-Maximum Principle in Assessment of Movement Parameters

2016 ◽  
Vol 6 (85) ◽  
pp. 10-15 ◽  
Author(s):  
A. A. Kostoglotov ◽  
◽  
A. A. Kuznetsov ◽  
S. V. Lazarenko ◽  
I. V. Derabkin ◽  
...  
Keyword(s):  
Maximum Principle ◽  
Structural Adaptation ◽  
Discrete Algorithms ◽  
Movement Parameters

Dynamics Response Control of a Mindlin-Type Beam

2017 ◽  
Vol 17 (03) ◽  
pp. 1750039 ◽  
Author(s):  
Kenan Yildirim ◽  
Seda G. Korpeoglu ◽  
Ismail Kucuk
Keyword(s):  
Optimal Control ◽  
Partial Differential Equations ◽  
Maximum Principle ◽  
Control Problem ◽  
Control Function ◽  
Initial Boundary ◽  
Response Control ◽  
Adjoint Variables ◽  
Dynamics Response ◽  
Optimal Control Function

Optimal boundary control for damping the vibrations in a Mindlin-type beam is considered. Wellposedness and controllability of the system are investigated. A maximum principle is introduced and optimal control function is obtained by means of maximum principle. Also, by using maximum principle, control problem is reduced to solving a system of partial differential equations including state, adjoint variables, which are subject to initial, boundary and terminal conditions. The solution of the system is obtained by using MATLAB. Numerical results are presented in table and graphical forms.

The Continuous Maximum Principle

1967 ◽  
Vol 18 (3) ◽  
pp. 332-333
Author(s):  
K. B. Haley
Keyword(s):  
Maximum Principle

scholarly journals Local versus nonlocal elliptic equations: short-long range field interactions

2020 ◽  
Vol 10 (1) ◽  
pp. 895-921
Author(s):  
Daniele Cassani ◽  
Luca Vilasi ◽  
Youjun Wang
Keyword(s):  
Asymptotic Behavior ◽  
Maximum Principle ◽  
Weak Solutions ◽  
Elliptic Equations ◽  
Spectral Properties ◽  
Fractional Laplacian ◽  
Coupling Parameter ◽  
Nonlocal Operators ◽  
The Maximum Principle ◽  
Regularity Results

Abstract In this paper we study a class of one-parameter family of elliptic equations which combines local and nonlocal operators, namely the Laplacian and the fractional Laplacian. We analyze spectral properties, establish the validity of the maximum principle, prove existence, nonexistence, symmetry and regularity results for weak solutions. The asymptotic behavior of weak solutions as the coupling parameter vanishes (which turns the problem into a purely nonlocal one) or goes to infinity (reducing the problem to the classical semilinear Laplace equation) is also investigated.

On the strong maximum principle for a fractional Laplacian

2021 ◽  
Author(s):  
Nguyen Ngoc Trong ◽  
Do Duc Tan ◽  
Bui Le Trong Thanh
Keyword(s):  
Maximum Principle ◽  
Fractional Laplacian ◽  
Strong Maximum Principle
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