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13 results on '"Riaza, Ricardo"'

2. Linear differential-algebraic equations with properly stated leading term: B -critical points.

Author

März, Roswitha and Riaza, Ricardo

Subjects
*DIFFERENTIAL-algebraic equations, *DIFFERENTIAL equations, *CRITICAL point theory, *CALCULUS of variations, *CALCULUS
Abstract

We examine in this article so-called B-critical points of linear, time-varying differential-algebraic equations (DAEs) of the form A(t)(D(t)x(t))' + B(t)x(t) = q(t). These critical or singular points, which cannot be handled by classical projector methods, require adapting a recently introduced framework based on Π-projectors. Via a continuation of certain invariant spaces through the singularity, we arrive at a scenario which accommodates both A- and B-critical DAEs. The working hypotheses apply in particular to standard-form analytic systems although, in contrast to other approaches to critical problems, the scope of our approach extends beyond the analytic setting. Some examples illustrate the results. [ABSTRACT FROM AUTHOR]

Published
2008
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3. Linear differential-algebraic equations with properly stated leading term: A-critical points.

Author

März, Roswitha and Riaza, Ricardo

Subjects
*DIFFERENTIAL equations, *ALGEBRA, *CRITICAL point theory, *DIFFERENTIABLE dynamical systems, *FACTORIZATION
Abstract

Time-domain models of dynamical systems are formulated in many applications in terms of differential-algebraic equations (DAEs). In the linear time-varying context, certain limitations of models of the form E(t)x'(t) + B(t)x(t) = q(t) have recently led to the properly stated formulation A(t)(D(t)x(t))' + B(t)x(t) = q(t), which allows for explicit descriptions of problem solutions in regular DAEs with arbitrary index, and provides precise functional input-output characterizations of the system. In this context, the present paper addresses critical points of linear DAEs with properly stated leading term; such critical points describe different types of singularities in the system. Critical points are classified according to a taxonomy which reflects the phenomenon from which the singularity stems; this taxonomy is proved independent of projectors and also invariant under linear time-varying coordinate changes and refactorizations. Under certain working assumptions, the analysis of such critical problems can be carried out through a scalarly implicit decoupling, yielding a singular inherent ODE. Certain harmless problems for which this decoupling can be rewritten in explicit form are characterized. Some electrical circuit applications, including a linear time-varying analogue of Chua's circuit, are discussed for illustrative purposes. [ABSTRACT FROM AUTHOR]

Published
2007
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4. Singularities of the Robotic Arm DAE

Author

Schwarz, Diana Estévez, Lamour, René, März, Roswitha, Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, and Zerz, Eva, Editorial Board Member

Published
2020
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5. Generalized Elements for a Structural Analysis of Circuits

Author

Cortes Garcia, Idoia, Schöps, Sebastian, Strohm, Christian, Tischendorf, Caren, Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, and Zerz, Eva, Editorial Board Member

Published
2020
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6. Observers for Differential-Algebraic Systems with Lipschitz or Monotone Nonlinearities

Author

Berger, Thomas, Lanza, Lukas, Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, and Zerz, Eva, Editorial Board Member

Published
2020
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7. Vector Relative Degree and Funnel Control for Differential-Algebraic Systems

Author

Berger, Thomas, Lê, Huy Hoàng, Reis, Timo, Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, and Zerz, Eva, Editorial Board Member

Published
2020
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8. Error Analysis for the Implicit Euler Discretization of Linear-Quadratic Control Problems with Higher Index DAEs and Bang–Bang Solutions

Author

Martens, Björn, Gerdts, Matthias, Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, and Zerz, Eva, Editorial Board Member

Published
2020
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9. Basic Characteristics of Differential-Algebraic Operators

Author

Hanke, Michael, März, Roswitha, Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, and Zerz, Eva, Editorial Board Member

Published
2020
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10. Systems of Differential Algebraic Equations in Computational Electromagnetics

Author

Cortes Garcia, Idoia, Schöps, Sebastian, De Gersem, Herbert, Baumanns, Sascha, Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, Zerz, Eva, Editorial Board Member, and Mehrmann, Volker, editor

Published
2019
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11. Nonsmooth DAEs with Applications in Modeling Phase Changes

Author

Stechlinski, Peter, Patrascu, Michael, Barton, Paul I., Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, Zerz, Eva, Editorial Board Member, and Mehrmann, Volker, editor

Published
2019
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12. General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example

Author

Campbell, Stephen, Kunkel, Peter, Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, Zerz, Eva, Editorial Board Member, and Mehrmann, Volker, editor

Published
2019
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13. DAE Aspects in Vehicle Dynamics and Mobile Robotics

Author

Burger, Michael, Gerdts, Matthias, Ilchmann, Achim, Editor-in-Chief, Reis, Timo, Editor-in-Chief, Biegler, Larry, Editorial Board Member, Campbell, Stephen, Editorial Board Member, Führer, Claus, Editorial Board Member, Gerdts, Matthias, Editorial Board Member, Grundel, Sara, Editorial Board Member, Kunkel, Peter, Editorial Board Member, Linh, Vu Hoang, Editorial Board Member, März, Roswitha, Editorial Board Member, Riaza, Ricardo, Editorial Board Member, Sager, Sebastian, Editorial Board Member, Schöps, Sebastian, Editorial Board Member, Simeon, Bernd, Editorial Board Member, Trenn, Stephan, Editorial Board Member, Zerz, Eva, Editorial Board Member, and Mehrmann, Volker, editor

Published
2019
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