Results 41 to 50 of about 30,859 (297)
Differential algebraic equations, indices, and integral algebraic equations
SIAM Journal on Numerical Analysis, 1989 In a recent report, Hairer, Lubich, and Roche [Report CH-1211, Dept. de Mathematiques, Universite de Geneve, Geneve, Switzerland, 1988] define the index of differential algebraic equations (DAEs) by considering the effect of perturbations of the equations on the solutions. This index, which will be called the perturbation index $p_i $, is one more than
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Upper bounds on the solution of coupled algebraic riccati equation
Journal of Inequalities and Applications, 2001 Upper bounds for eigenvalues of a solution to continuous time coupled algebraic Riccati equation (CCARE) and discrete time coupled algebraic Riccati equation (DCARE) are developed as special cases of bounds for the unified coupled algebraic Riccati ...
Czornik Adam, Świerniak Andrzej
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Positive Stabilization of Linear Differential Algebraic Equation System
International 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
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Algebraic structure of space and field
Electronic Journal of Qualitative Theory of Differential Equations, 2001 We investigate an algebraic structure of the space of solutions of autonomous nonlinear differential equations of certain type. It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist.
Z. Z. Khukhunashvili +1 more
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Advanced Photonics Research, EarlyView.Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang +2 more
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Differential Fault and Algebraic Equation Combined Analysis on PICO
MathematicsIn modern information technology, research on block cipher security is imperative. Concerning the ultra lightweight block cipher PICO, there has been only one study focused on recovering its complete master key, with a large search space of 264, and no ...
Linxi Ding +4 more
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On Algebraic Independence of Solutions of Generalized Hypergeometric Equations
Axioms, 2021 We present solutions for general theorems regarding algebraic independence of solutions of hypergeometric equation ensembles and the values of these solutions at algebraic points. The conditions of the theorems are necessary and sufficient.
Vasily Gorelov
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On Riccati Equations in Banach Algebras [PDF]
SIAM Journal on Control and Optimization, 2011 Let $R$ be a commutative complex Banach algebra with the involution $\cdot ^\star$ and suppose that $A\in R^{n\times n}$, $B\in R^{n\times m}$, $C\in R^{p\times n}$. The question of when the Riccati equation $$ PBB^\star P-PA-A^\star P-C^\star C=0 $$ has a solution $P\in R^{n\times n}$ is investigated.
Curtain, Ruth, Sasane, Amol
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Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
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Partial Evaluation of Automatic Differentiation for Differential-Algebraic Equations Solvers [PDF]
, 2023 Oscar Eriksson +2 more
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