Results 11 to 20 of about 2,648,464 (290)

Positive Stabilization of Linear Differential Algebraic Equation System

open access: yesInternational Journal of Differential Equations, 2016
We study in this paper the existence of a feedback for linear differential algebraic equation system such that the closed-loop system is positive and stable. A necessary and sufficient condition for such existence has been established. This result can be
Muhafzan
doaj   +2 more sources

Converting DAE Models to ODE Models: Application to Reactive Rayleigh Distillation [PDF]

open access: yesChemical Engineering Transactions, 2013
This paper illustrates the application of an index reduction method to some differential algebraic equations (DAE) modelling the reactive Rayleigh distillation.
K. Alloula   +3 more
doaj   +3 more sources

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

open access: yes, 2011
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core   +5 more sources

Transforming Radical Differential Equations to Algebraic Differential Equations

open access: yesMediterranean Journal of Mathematics, 2022
Abstract In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables.
Falkensteiner, Sebastian   +1 more
openaire   +3 more sources

Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms [PDF]

open access: yes, 2006
This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Kojima, Chiaki   +3 more
core   +2 more sources

Pick matrix conditions for sign-definite solutions of the algebraic Riccati equation [PDF]

open access: yes, 2001
We study the existence of positive and negative semidefinite solutions of algebraic Riccati equations (ARE) corresponding to linear quadratic problems with an indefinite cost functional.
Trentelman, Harry L., Rapisarda, Paolo
core   +3 more sources

On the existence of time-periodic solutions of nonlinear parabolic differential equations with nonlocal boundary conditions of the Bitsadze-Samarskii type

open access: yesСовременная математика: Фундаментальные направления, 2023
We study a nonlinear parabolic differential equation in a bounded multidimensional domain with nonlocal boundary conditions of the Bitsadze-Samarskii type. We prove existence theorems for a periodic in time generalized solution.
O. V. Solonukha
doaj   +1 more source

Periodic solution for a delay integro-differential equation in biomathematics [PDF]

open access: yes, 2003
Sufficient conditions for the existence and uniqueness of periodic solution of a delay integro-differential equation which arise in biomathematics are given.
Bica, Alexandru Mihai, Muresan, Sorin
core   +6 more sources

Asymptotic solutions of boundary value problem for singularly perturbed system of differential-algebraic equations

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
This paper deals with the boundary value problem for a singularly perturbed system of differential algebraic equations of the second order. The case of simple roots of the characteristic equation is studied.
P.F. Samusenko, M.B. Vira
doaj   +1 more source

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