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20051102BuchAlgebroDifferentialgleichungen mit properem Hauptterm und Traktabilitätsindex März, Roswitha1. AlgebroDifferntialgleichungen mit properem Hauptterm 2. Traktabilitätsindex 3. Linearquadratische Optimalsteuerung

20051107BuchAn unified approach to linear differential algebraic equations and their adjoint equations Balla, Katalin; März, RoswithaInstead of a single matrix occuring in the standard setting the leading term of the linear differential equation is composed of a pair of well matched matrices. This problem formulation enables an unified treatment of the ...

20051109BuchAnalyzing the stability behaviour of DAE solutions and their approximations März, Roswitha; Santiesteban, Antonio R. RodríguezNew stability results are proved for linear index2 differential algebraic equations (DAE). They are obtained by means of an improved projector decoupling. On the background of logarithmic norms related to invariant ...

20040503BuchCharacterization and Computation of a "Good Control" Campbell, Stephen L.; März, RoswithaModels for physical systems often take the form of implicit or behavioral models. One important problem is the identification of which combinations of variables are good candidtates for control variables. This paper first ...

20051104BuchCharacterizing differential algebraic equations without the use of derivative arrays März, RoswithaFor a large class of differential algebraic equations with properly stated leading terms and nonsmooth data, an index characterization in terms of the original coefficients and their only first partial derivatives is given. ...

20051117BuchCriteria for the trivial solution of differential algebraic equations with small nonlinearities to be asymptotically stable März, RoswithaDifferential algebraic equations consisting of a constant coefficient linear part and a small nonlinearity are considered. Conditions that enable linearizations to work well are discussed. In particular, for index2 ...

20051107BuchDifferential algebraic systems anew März, RoswithaLinear differential algebraic equations with properly stated leading term are considered via a decoupling into their essential parts. It is shown why for socalled numerically well formulated equations the decoupling and ...

20051104BuchDifferential Algebraic Systems with Properly Stated Leading Term and MNA Equations März, RoswithaDifferential algebraic equations with properly stated leading term are equations of the form A(x(t),t)(d(x(t),t))'+b(x(t),t)=0 with in some sense wellmatched coefficients. Systems resulting from the modified nodal analysis ...

20051116BuchEXTRAordinary differential equations März, Roswitha

20051102BuchFeedback solutions of optimal control problems with DAE constraints Kurina, Galina A.; März, RoswithaAn optimal feedback control has been obtained for linearquadratic optimal control problems with constraints described by differentialalgebraic equations. For that purpose, a new implicit Riccati equation (Riccati ...

20051107BuchFinding Beneficial DAE Structures in Circuit Simulation Schwarz, Diana Estévez; Feldmann, Uwe; März, Roswitha; Sturtzel, Sandra; Tischendorf, CarenCircuit simulation is a standard task for the computeraided design of electronic circuits. The transient analysis is well understood and realized in powerful simulation packages for conventional circuits. But further ...

20051102BuchFine decouplings of regular differential algebraic equations März, RoswithaIn this paper, the previously formulated conjecture concerning the existence of fine and complete decouplings of regular DAEs with tractability index $\mu$ is verified.

20051107BuchFormulating differential algebraic equations properly Higueras, Inmaculada; März, Roswitha

20051026BuchHow Floquettheory applies to differentialalgebraic equations Lamour, René; März, Roswitha; Winkler, RenateLocal stability of periodic solutions is established by means of a corresponding Floquettheory for index1 differentialalgebraic equations. For this, linear differentialalgebraic equations with periodic coefficients are ...

20051103BuchIndex criteria for differential algebraic equations arising from linearquadratic optimal control problems Balla, Katalin; Kurina, Galina A.; März, RoswithaThe index of DAE systems arising from linear quadratic optimal control problems is considered. Necessary and sufficient conditions ensuring regularity with tractability index one are proved. For problems with regular index ...

20051116BuchIteration methods with incomplete corrections and solution of nonlinear equations Krasnosel'skii, M. A.; Kuznetsov, N. A.; Rachinskii, D. J.; März, RoswithaBasing on the theory of dynamic systems with inclomplete corrections [12], various methods of GaussSeideltype for the numerical solution of nonlinear equations are formulated and analyzed. For special classes of equations ...

20051116BuchIterationsverfahren mit unvollständigen Korrekturen und die Lösung nichtlinearer Gleichungen Krasnosel'skii, M. A.; Kuznetsov, N. A.; Rachinskii, D. J.; März, RoswithaAuf der Grundlage der Theorie dynamischer Systeme mit unvollständigen Korrekturen [12] werden verschiedene Methoden vom GaußSeidelTyp zur numerischen Lösung nichtlinearer Gleichungen formuliert und analysiert. Für ...

20030915BuchLinear boundary value problems for differential algebraic equations Balla, Katalin; März, RoswithaBy the use of the corresponding shift matrix, the paper gives a criterion for the unique solvability of linear boundary value problems posed for linear differential algebraic equations up to index 2 with wellmatched leading ...

20051109BuchLinear differential algebraic equations of index 1 and their adjoint equations Balla, Katalin; März, RoswithaFor linear differential algebraic equations of tractability index 1 the notion of the adjoint equation is analysed in full detail. Its solvability is shown at the lowest possible smoothness. The fundamental matrices of ...

20110713BuchLinear differentialalgebraic equations with properly stated leading term März, Roswitha; Riaza, RicardoWe examine in this paper socalled Bcritical points of linear, timevarying differentialalgebraic 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 ...