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An Explicit Solution of Joint Estimation-Linear Model Predictive Control
Model predictive control (MPC) represents an optimal strategy where constraints on inputs, outputs and system states can be implemented as part of...
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A Haaland Based Explicit Solution for Colebrook-White Equation
In hydraulic flow modeling and experimentation, friction factor was usually determined using the Moody chart. Values of friction factor obtained from... -
An efficient method for train–track–substructure dynamic interaction analysis by implicit-explicit integration and multi-time-step solution
In this work, a method is put forward to obtain the dynamic solution efficiently and accurately for a large-scale train–track–substructure (TTS)...
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Explicit solution to forward and backward stochastic differential equations with state delay and its application to optimal control
This paper is concerned with linear forward–backward stochastic differential equations (FBSDEs) with state delay, the solvability which is much more...
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Explicit Formulae for Boundary Control of Parabolic PDEs
Methods for boundary control of linear parabolic PDEs are well established (see, e.g., [1, 3, 7, 9, 1 0 , 14, 15, 17, 18, 19]). However, even in the... -
Traveling wave solutions for explicit-time nonlinear photorefractive dynamics equation
We solve the traveling wave solution for the explicit-time nonlinear photorefractive dynamics equation. Nonlinearity comes from the support of linear...
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A Constructive Methodology for the IDA-PBC of Underactuated 2-DoF Mechanical Systems with Explicit Solution of PDEs
This paper presents a passivity-based control strategy dealing with underactuated two-degree-of-freedom (2-DoF) mechanical systems. Such a...
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Explicit determination for exact solutions of elastic rectangular beams
In this paper, a method to directly determine explicit expressions of the exact general solutions for isotropic rectangular beam is provided. If the...
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Newton Explicit Decoupled Group Solution for Two-Dimensional Nonlinear Porous Medium Equation Problems
This paper presents a Newton Explicit Decoupled Group method based on a half-sweep implicit finite difference scheme as an efficient solution method... -
Personalizing Activity Selection in Assistive Social Robots from Explicit and Implicit User Feedback
Robots in multi-user environments require adaptation to produce personalized interactions. In these scenarios, the user’s feedback leads the robots...
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Local coordinates on Lie groups for half-explicit time integration of Cosserat-rod models with constraints
Explicit Runge–Kutta methods are the gold standard of time-integration methods for nonstiff problems in system dynamics since they combine a small...
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A thermodynamic motivated RCCM damage interface model in an explicit transient dynamics framework
A framework to solve fast dynamic problems involving a non-smooth interface behavior with contact and decohesion is under concern. In previous works,...
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A Comprehensive Review of Explicit Topology Optimization Based on Moving Morphable Components (MMC) Method
Explicit topology optimization method is attracting more and more attention in recent years due to its obvious advantages. Among them, the most...
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Explicit topology optimization of three-dimensional geometrically nonlinear structures
In this work, a three-dimensional explicit geometrically nonlinear topology optimization method is developed. Moving morphable voids (MMVs) are used...
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Solution Algorithms
This Chapter discusses non-linear settings of discretized equilibrium and motion problems, with a focus on the former. Basic solution methods for... -
Explicit correlation between surface integrity and fatigue limit of surface cold worked chromium-nickel austenitic stainless steels
Explicit correlations were established between surface integrity (SI) characteristics (roughness, microhardness, residual stresses) obtained via...
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Anti-plane shear of a tunnel in an elastic half-space under surface loading: Analytic algorithm and approximate explicit solution
The mechanical analysis of a tunnel buried in an elastic half-space whose surface undergoes a certain external loading is of basic interest and...
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An enhanced semi-explicit particle finite element method for incompressible flows
In this paper an enhanced version of the semi-explicit Particle Finite Element Method for incompressible flow problems is presented. This goal is...
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Explicit model predictive control design for artificial respiratory ventilation system
Artificial breathing support device is a medical emergency equipment. Such devices are directly associated with the body of a patient. Therefore, the...
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Explicit smooth/nonsmooth cosimulation using kinematic constraints
An explicit cosimulation scheme is developed to study the coupling of smooth and nonsmooth systems using kinematic constraints. Using the...