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Dynamic State Estimation of Nonlinear Differential Algebraic Equation Models of Power Networks [PDF]

open access: yesIEEE Transactions on Power Systems, 2022
This paper investigates the joint problems of dynamic state estimation of algebraic variables (voltage and phase angle) and generator states (rotor angle and frequency) of nonlinear differential algebraic equation (NDAE) power network models, under ...
Muhammad Nadeem   +2 more
semanticscholar   +1 more source

Numerical solution to Volterra integro-differential equations using collocation approximation [PDF]

open access: yesMathematics and Computational Sciences, 2023
This paper considers the collocation method for the numerical solution of the Volterra integro- differential equation using polynomial basis functions.
Ganiyu Ajileye, Sikiru Amoo
doaj   +1 more source

Differential Algebraic Equations [PDF]

open access: yes, 2021
AbstractLet H be a Hilbert space and $$\nu \in \mathbb {R}$$ ν ∈ ℝ . We saw in the previous chapter how initial value problems can be formulated within the framework of evolutionary equations.
Christian Seifert   +2 more
openaire   +2 more sources

Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers [PDF]

open access: yesACM Transactions on Mathematical Software, 2020
In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been redesigned to better enable the use of application-specific and third-party algebraic solvers and data structures.
D. J. Gardner   +3 more
semanticscholar   +1 more source

Development of technique of Backward integration step-by-step for solve stiff initial value problems

open access: yesTikrit Journal of Pure Science, 2023
Our purpose in this paper is the development of the  technique of backward integration step-by-step, In order to facilitating the use of this technique for  solving  the Stiff Problems.
Khalid A. M. Khalaf, Bashir M. S. Khalaf
doaj   +1 more source

Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation [PDF]

open access: yesOpuscula Mathematica, 2018
A potential vector field is a solution of an extended WDVV equation which is a generalization of a WDVV equation. It is expected that potential vector fields corresponding to algebraic solutions of Painlevé VI equation can be written by using ...
Mitsuo Kato   +2 more
doaj   +1 more source

A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential Equations

open access: yesAfrican Scientific Reports, 2022
This paper consider collocation approach for the numerical solution of Volterra-Fredholm Integro-differential equation using collocation method. We transformed the problem into a system of linear algebraic equations and matrix inversion is adopted to ...
G. Ajileye, F. A. Aminu
doaj   +1 more source

Maximal imaginery eigenvalues in optimal systems [PDF]

open access: yesModeling, Identification and Control, 1991
In this note we present equations that uniquely determine the maximum possible imaginary value of the closed loop eigenvalues in an LQ-optimal system, irrespective of how the state weight matrix is chosen, provided a real symmetric solution of the ...
David Di Ruscio
doaj   +1 more source

Algebraic Persistent Fault Analysis of SKINNY_64 Based on S_Box Decomposition

open access: yesEntropy, 2022
Algebraic persistent fault analysis (APFA), which combines algebraic analysis with persistent fault attacks, brings new challenges to the security of lightweight block ciphers and has received widespread attention since its introduction.
Xing Fang   +5 more
doaj   +1 more source

A Symplectic Instantaneous Optimal Control for Robot Trajectory Tracking With Differential-Algebraic Equation Models

open access: yesIEEE transactions on industrial electronics (1982. Print), 2020
Robot trajectory tracking control based on differential-algebraic equation (DAE) models is still a thorny issue, because the DAEs of such systems are inherently complex and unstable, such as the high-index problem.
Haijun Peng   +3 more
semanticscholar   +1 more source

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