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Galan, SAuthor
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Parametric sensitivity functions for hybrid discrete/continuous systems

Publicated to:Applied Numerical Mathematics. 31 (1): 17-47 - 1999-01-01 31(1), DOI: 10.1016/S0168-9274(98)00125-1

Authors: Galan, S; Feehery, WE; Barton, PI;

Affiliations

MIT, Dept Chem Engn, Cambridge, MA 02139 USA - Author

Abstract

The general equations for the parametric sensitivity functions of a broad class of hybrid discrete/continuous dynamic systems where the continuous part is described by differential-algebraic equations (DAEs) are presented. For the cases where this continuous part is an ordinary differential equation system (ODEs) or a linear time invariant DAE, sufficient conditions for the existence and uniqueness of the sensitivity functions are derived. Numerical computation of these sensitivity functions has been implemented as a generic functionality in a mathematical modeling environment. Special cases and application examples are used for illustration. (C) 1999 Elsevier Science B.V. and IMACS. All rights reserved.

Keywords
Differential-algebraic equationsDiscontinuitiesExistence and uniquenessHybrid systemsParametric sensitivitiesSingular systems

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Applied Numerical Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 1999, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Applied Mathematics.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-05-18:

  • WoS: 82
  • Scopus: 104
  • OpenCitations: 104
Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-05-18:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 40 (PlumX).
Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: United States of America.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (GALAN CASADO, SANTOS) .