Results 101 to 110 of about 818,934 (319)
Algebraic entropy for differential-delay equations [PDF]
We extend the definition of algebraic entropy to a class of differential-delay equations. The vanishing of the entropy, as a structural property of an equation, signals its integrability.
Viallet, Claude M.
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Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
Uniform Gas Flow Distribution into Several Partial Flows under Consideration of Closable Outlets
The uniform distribution of a gas flow into several partial flows poses a challenge in various technical fields. This study presents a static flow distributor design that ensures an equal distribution of an inlet gas flow regardless of the flow rate and the number of open outlets.
Nikolas Schmidt +3 more
wiley +1 more source
On solving system of differential-algebraic equations using adomian decomposition method. [PDF]
Thota S, P S.
europepmc +1 more source
Algebras and differential equations [PDF]
One purpose of this paper is a purely algebraic study of (systems of) ordinary differential equations of the typewhere the coefficients are taken from a fixed associative, commutative, unital ring R, such as the field R of real or C of complex numbers or a commutative, unital Banach algebra.
openaire +2 more sources
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source
Differential Equations and Algebraic Relations
Let \(L\) be a Picard-Vessiot extension of \(F\), \(R\) be a ring of Picard-Vessiot elements of \(L\) over \(F\) and \(G= \text{Gal} (L/F)\). Suppose that \(R= F[y_1,\dots,y_n]= F[y]\), \(G(V)\subset V\), where \(V\) is a linear envelope of \(y\) over the constants of \(F\), and let \(I\) be a defining ideal of \(y\) in \(F[y]\). The author presents in
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Galois Theory of Parameterized Differential Equations and Linear Differential Algebraic Groups
We present a Galois theory of parameterized linear differential equations where the Galois groups are linear differential algebraic groups, that is, groups of matrices whose entries are functions of the parameters and satisfy a set of differential ...
Cassidy, Phyllis J., Singer, Michael F.
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Modelling of continuous low‐temperature emulsion co‐polymerization in 3D‐printed reactor
A kinetic model for the emulsion copolymerization of butyl acrylate/styrene at low temperatures is proposed and validated against experiments with a redox initiator system. The model was successfully transferred to a 3D‐printed tubular reactor and conversions of more than 80% and small particles sizes below 40 nm were observed.
Ferel Issa +2 more
wiley +1 more source
An Integro-Differential Structure for Dirac Distributions
We develop a new algebraic setting for treating piecewise functions and distributions together with suitable differential and Rota-Baxter structures. Our treatment aims to provide the algebraic underpinning for symbolic computation systems handling such ...
Rosenkranz, Markus, Serwa, Nitin
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