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Differential Algebraic Equations
, 2009
"... Parametrized systems of Differential Algebraic Equations (DAEs) stand at the base of several mathematical models in Microelectronics, Computational Fluid Dynamics and other Engineering fields. Since the dimension of these systems can be huge, high computational costs could occur, so efficient numeri ..."
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Parametrized systems of Differential Algebraic Equations (DAEs) stand at the base of several mathematical models in Microelectronics, Computational Fluid Dynamics and other Engineering fields. Since the dimension of these systems can be huge, high computational costs could occur, so efficient
Regularization of DifferentialAlgebraic Equations Revisited
 Preprint 9219, HumboldtUniv. Berlin, Fachbereich Mathematik
, 1992
"... The present paper deals with quasilinear differentialalgebraic equations with index 2. These equations are approximated by regularization methods. Such methods lead to singularly perturbed differentialalgebraic equations. Using a geometric theory of singular perturbations convergence of the soluti ..."
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Cited by 7 (1 self)
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The present paper deals with quasilinear differentialalgebraic equations with index 2. These equations are approximated by regularization methods. Such methods lead to singularly perturbed differentialalgebraic equations. Using a geometric theory of singular perturbations convergence
Controllability of switched differentialalgebraic equations
, 2015
"... We study controllability of switched differential algebraic equations. We are able to establish a controllability characterization where we assume that the switching signal is known. The characterization takes into account possible jumps induced by the switches. It turns out that controllability no ..."
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Cited by 3 (3 self)
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We study controllability of switched differential algebraic equations. We are able to establish a controllability characterization where we assume that the switching signal is known. The characterization takes into account possible jumps induced by the switches. It turns out that controllability
Differential Algebraic Equations with AfterEffect
, 2000
"... We consider the numerical solution of delay dierential algebraic equations { they are differential algebraic equations with aftereffect, or constrained delay differential equations. The general semiexplicit form of the problem consists of a set of delay dierential equations along with a set of con ..."
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Cited by 3 (0 self)
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We consider the numerical solution of delay dierential algebraic equations { they are differential algebraic equations with aftereffect, or constrained delay differential equations. The general semiexplicit form of the problem consists of a set of delay dierential equations along with a set
SUNDIALS: Suite of Nonlinear and Differential/ Algebraic Equation Solvers
 ACM Trans. Math. Software
, 2005
"... SUNDIALS is a suite of advanced computational codes for solving largescale problems that can be modeled as a system of nonlinear algebraic equations, or as initialvalue problems in ordinary differential or differentialalgebraic equations. The basic versions of these codes are called KINSOL, CVOD ..."
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Cited by 162 (6 self)
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SUNDIALS is a suite of advanced computational codes for solving largescale problems that can be modeled as a system of nonlinear algebraic equations, or as initialvalue problems in ordinary differential or differentialalgebraic equations. The basic versions of these codes are called KINSOL
On observability of switched differentialalgebraic equations
 in: Proc. 49th IEEE Conf. Decis. Control
, 2010
"... Abstract — Based on our previous work dealing with geometric characterization of observability for switched differentialalgebraic equations (switched DAEs), we propose an observer design for switched DAEs that generates an asymptotically convergent state estimate. Without assuming the observabili ..."
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Cited by 17 (12 self)
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Abstract — Based on our previous work dealing with geometric characterization of observability for switched differentialalgebraic equations (switched DAEs), we propose an observer design for switched DAEs that generates an asymptotically convergent state estimate. Without assuming
On properties of solutions of DifferentialAlgebraic Equations
, 1994
"... Impasse point is a phenomenon of DifferentialAlgebraic Equations (DAEs), which also occurs in the analysis of electrical networks. It is usually characterized by the condition that solutions of the DAE in question cannot be continued beyond this point. However, it turns out that several classes of ..."
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Impasse point is a phenomenon of DifferentialAlgebraic Equations (DAEs), which also occurs in the analysis of electrical networks. It is usually characterized by the condition that solutions of the DAE in question cannot be continued beyond this point. However, it turns out that several classes
Differential Algebraic Equations of Multibody Dynamics
"... The paper presents theoretical and implementation aspects related to a numerical integrator used for the simulation of large mechanical systems with flexible bodies and contact/impact. The proposed method is based on the HilberHughesTaylor implicit formula and is tailored to answer the challenges ..."
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posed by the numerical solution of index 3 Differential Algebraic Equations that govern the time evolution of a multibody system. One of the salient attributes of the algorithm is the good conditioning of the Jacobian matrix associated with the implicit integrator. Error estimation, integration step
MODEL REDUCTION OF NONLINEAR DIFFERENTIALALGEBRAIC EQUATIONS
"... In this work, a computational method to compute balanced realizations for nonlinear differentialalgebraic equation systems is derived. The work is a generalization of an earlier work for nonlinear controlaffine systems, and is based on analysis of the controllability and observability functions. K ..."
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Cited by 2 (0 self)
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In this work, a computational method to compute balanced realizations for nonlinear differentialalgebraic equation systems is derived. The work is a generalization of an earlier work for nonlinear controlaffine systems, and is based on analysis of the controllability and observability functions
Results 1  10
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