Results 221 to 230 of about 72,021 (274)

A framework for structural shape optimization based on automatic differentiation, the adjoint method and accelerated linear algebra

Structural And Multidisciplinary Optimization, 2022
Shape optimization is of great significance in structural engineering, as an efficient geometry leads to better performance of structures. However, the application of gradient-based shape optimization for form finding is limited, which is partly due to ...
Gaoyuan Wu
semanticscholar   +1 more source

Solutions of Linear Differential Algebraic Equations

SIAM Review, 1998
Summary: The authors show how to solve inhomogeneous linear differential algebraic systems with constant coefficients.
Shirvani, Mazi, So, Joseph W.-H.
openaire   +2 more sources

Stability of Linear Differential-Algebraic Systems

Differential Equations, 2004
Linear differential-algebraic equations (DAEs) \[ A(t)x'(t)+B(t)x(t)=f(t) \] are addressed in this paper using left-regularizing operators. The authors remark that for sufficiently smooth coefficients \(A\) and \(B\), the existence of such a left-regularizing operator is equivalent to the existence of a Cauchy-type general solution and for analytic ...
Shcheglova, A. A., Chistyakov, V. F.
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Controllability of Linear Algebraic Differential Systems

Automation and Remote Control, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chistyakov, V. F., Shcheglova, A. A.
openaire   +1 more source

A linear algebra approach to the differentiation index of generic DAE systems

Applicable Algebra in Engineering, Communication and Computing, 2006
The notion of differentiation index for DAE systems of arbitrary order with generic second members is discussed by means of the study of the behavior of the ranks of certain Jacobian associated sub-matrices.
Lisi D'Alfonso, Gabriela Jeronimo, P. Solernó   +2 more
semanticscholar   +1 more source

The Regularization of Linear Differential-Algebraic Equations

SIAM Journal on Mathematical Analysis, 1996
Summary: Differential-algebraic equations naturally arise in numerous important applied contexts, e.g., electrical circuits, constrained dynamical motion and fluid dynamics. The authors show how the structures of the solution space for some typical problems can be illuminated through the introduction of various regularizations which often can be given ...
Kalachev, Leonid V., O'Malley, Robert E. jun.   +1 more
openaire   +2 more sources

Lie Algebraic Solution of Linear Differential Equations

Journal of Mathematical Physics, 1963
The solution U(t) to the linear differential equation dU/dt = h(t)U can be represented by a finite product of exponential operators; In many interesting cases the representation is global. U(t) = exp[g1(t)H1] exp [g2(t)H2] … exp[gn(t)Hn] where gi(t) are scalar functions and Hi are constant operators.
Wei, James, Norman, Edward
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Symmetry algebras of linear differential equations

Theoretical and Mathematical Physics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shapovalov, A. V., Shirokov, I. V.
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Identifiability of linear time-invariant differential-algebraic systems application of differential algebra

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
A system is identifiable if and only if the relationship between the parameters and the input-output behaviour of the system is unique. If a system is not identifiable, then accurate parameter estimation is not possible because identical input-output behaviour can be obtained for several values of the parameters.
A. Ben-Zvi, J. McLellan, K. McAuley
openaire   +1 more source

Regularization of linear time-invariant differential–algebraic systems

Systems & Control Letters, 2015
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Thomas Berger, Timo Reis
openaire   +1 more source