Mathematics, Statistics & Physics: Recent submissions
Now showing items 121-140 of 781
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Optimal boundary control of coupled parabolic PDE-ODE systems using infinite-dimensional representation
( Elsevier , 2015 , Article)The optimal boundary control problem is studied for coupled parabolic PDE-ODE systems. The linear quadratic method is used and exploits an infinite-dimensional state-space representation of the coupled PDE-ODE system. ... -
Observer design for hyperbolic PDEs system with application to a fixed-bed chemical reactor model
( Institute of Electrical and Electronics Engineers Inc. , 2020 , Conference)This work is devoted to the development of an optimal infinite-dimensional Luenberger observer for a system of hyperbolic PDEs. For this purpose, the duality fact linking the control design and the observer design is used. ... -
Single-step feedback linearization with assignable dynamics for hyperbolic PDE
( Institute of Electrical and Electronics Engineers Inc. , 2015 , Conference)The present work proposes an extension of single-step feedback linearization with pole-placement formulation to the class of nonlinear hyperbolic systems. In particular, the mathematical formulation in the context of ... -
Spectral-based optimal output-feedback boundary control of a cracking catalytic reactor PDE model
( Taylor and Francis Ltd. , 2024 , Article)This research paper focuses on the design of a boundary optimal controller with output feedback for a tubular catalytic cracking reactor. The process is represented by a set of non-linear parabolic partial differential ... -
Boundary Output-Feedback Regulation of a Catalytic Cracking Reactor
( Institute of Electrical and Electronics Engineers Inc. , 2023 , Conference)This work focuses on the design of a boundary output feedback regulator for a catalytic cracking reactor model which can be represented by a set of partial differential equations (PDEs). Based on the linear abstract ... -
Error-feedback regulation of a distributed parameter cracking process by using a spectral approach
( Institute of Electrical and Electronics Engineers Inc. , 2023 , Conference)The paper focuses on controlling a distributed parameter cracking process using state and error feedback regulators. The principal aim is to accomplish tracking of a desired output while effectively managing disturbances ... -
Optimal output-feedback temperature regulation of a catalytic reverse flow reactor PDEs model
( Elsevier , 2021 , Article)In this work, control and estimation problems have been studied for a catalytic reversal flow reactor (CFRR). A stabilizing compensator is developed on the basis of the infinite-dimensional state-space description of the ... -
Infinite-dimensional LQ optimal control of a dimethyl ether (DME) catalytic distillation column
( Elsevier , 2012 , Article)This contribution addresses the development of a linear quadratic (LQ) regulator in order to control the concentration profiles along a catalytic distillation column, which is modelled by a set of coupled hyperbolic partial ... -
Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs
( Elsevier , 2013 , Article)This contribution addresses the development of a linear quadratic (LQ) regulator for a set of hyperbolic PDEs coupled with a set of ODEs through the boundary. The approach is based on an infinite-dimensional Hilbert ... -
Optimal control and duality-based observer design for a hyperbolic PDEs system with application to fixed-bed reactor
( Taylor and Francis Ltd. , 2021 , Article)This paper is devoted to the design of an optimal infinite-dimensional Luenberger observer combined with a linear-quadratic state feedback controller for a system of hyperbolic PDEs. The design is based on the duality fact ... -
The explicit eigenvalues and eigenfunctions of the generalized neumann kernel in annular domains
( Universiti Putra Malaysia , 2019 , Article)This paper presents the explicit forms of the eigenvalues of the general-ized Neumann kernel in annular domains and the explicit forms of the corresponding eigenfunctions. It follows from these explicit forms that, except ... -
PlgCirMap: A MATLAB toolbox for computing conformal mappings from polygonal multiply connected domains onto circular domains
( Elsevier , 2020 , Article)This paper presents a MATLAB toolbox for computing the conformal mapping from a given polygonal multiply connected domain onto a circular multiply connected domain and its inverse. The toolbox can be used for multiply ... -
Application of integral equations to simulating local fields in carbon nanotube reinforced composites
( Elsevier , 2020 , Book chapter)We consider the steady heat conduction problem within a thermal isotropic and homogeneous square ring composite reinforced by nonoverlapping and randomly distributed carbon nanotubes (CNTs). We treat the CNTs as rigid line ... -
The motion of a point vortex in multiply-connected polygonal domains
( Multidisciplinary Digital Publishing Institute (MDPI) , 2020 , Article)We study the motion of a single point vortex in simply-and multiply-connected polygonal domains. In the case of multiply-connected domains, the polygonal obstacles can be viewed as the cross-sections of 3D polygonal ... -
Conformal capacity and polycircular domains
( Elsevier , 2023 , Article)We study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We compute the conformal capacities of condensers ... -
Level sets of potential functions bisecting unbounded quadrilaterals
( Springer Nature , 2022 , Article)We study the mixed Dirichlet–Neumann problem for the Laplace equation in the complement of a bounded convex polygonal quadrilateral in the extended complex plane. The Dirichlet / Neumann conditions at opposite pairs of ... -
Numerical computation of the capacity of generalized condensers
( Elsevier , 2020 , Article)We present a boundary integral method for numerical computation of the capacity of generalized condensers. The presented method applies to a wide variety of generalized condenser geometry including the cases when the plates ... -
Condenser capacity and hyperbolic perimeterImage 1
( Elsevier , 2021 , Article)We study the conformal capacity by using novel computational algorithms based on implementations of the fast multipole method, and analytic techniques. Especially, we apply domain functionals to study the capacities of ... -
Conformal Invariants in Simply Connected Domains
( Springer Link , 2020 , Article)This paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus ... -
Condenser capacity and hyperbolic diameter
( Elsevier , 2021 , Article)Given a compact connected set E in the unit disk B2, we give a new upper bound for the conformal capacity of the condenser (B2,E) in terms of the hyperbolic diameter t of E. Moreover, for t>0, we construct a set of hyperbolic ...
