We introduce a solution theory for time-varying linear differential-algebraic equations (DAEs) E(t)x ̇ = A(t)x which can be transformed into standard canonical form (SCF), i.e. the DAE is decoupled into an ODE ż1 = J(t)z1 and a pure DAE N(t)ż1 = z1, where N is pointwise strictly lower triangular. This class is a time-varying generalization of time-invariant DAEs where the cor-responding matrix pencil is regular. It will be shown in which sense the SCF is a canonical form, that it allows for a transition matrix similar to the one for ODEs, and how this can be exploited to derive a variation of constants formula. Furthermore, we show in which sense the class of systems transferable into SCF is equivalent to DAEs which are analytically solv...
We discuss implicit systems of ordinary linear differential equations with (time-) variable coeffici...
The analysis of general linear variable coefficient delay differential-algebraic systems (DDAEs) is ...
In this paper linear time-invariant differential algebraic equations (DAEs) are studied; the focus i...
We introduce a solution theoryfor time-varying linear differential-algebraic equations(DAEs) E(t)˙x =...
Abstract. State transfer functions are derived for linear time invariant differential-algebraic equa...
We develop a stability theory for time-varying linear differential algebraic equations (DAEs). Stand...
We consider in this work linear, time-varying differential-algebraic equations (DAEs) of the form A(...
Controllability and observability of a class of matrix Differential Algebraic Equation (DAEs) are st...
A solution theory for switched linear differential-algebraic equations (DAEs) is developed. To allow...
We examine in this paper so-called B-critical points of linear, time-varying differential-algebraic ...
We consider linear time-invariant systems of ordinary differential equations with degenerate matrix...
AbstractWe present several solvability concepts for linear differential-algebraic equations (DAEs) w...
Abstract This survey aims at giving a comprehensive overview of the solution the-ory of linear diffe...
AbstractWe consider in this work linear, time-varying differential-algebraic equations (DAEs) of the...
AbstractDifferential algebraic equations (DAEs) define a differential equation on a manifold. A numb...
We discuss implicit systems of ordinary linear differential equations with (time-) variable coeffici...
The analysis of general linear variable coefficient delay differential-algebraic systems (DDAEs) is ...
In this paper linear time-invariant differential algebraic equations (DAEs) are studied; the focus i...
We introduce a solution theoryfor time-varying linear differential-algebraic equations(DAEs) E(t)˙x =...
Abstract. State transfer functions are derived for linear time invariant differential-algebraic equa...
We develop a stability theory for time-varying linear differential algebraic equations (DAEs). Stand...
We consider in this work linear, time-varying differential-algebraic equations (DAEs) of the form A(...
Controllability and observability of a class of matrix Differential Algebraic Equation (DAEs) are st...
A solution theory for switched linear differential-algebraic equations (DAEs) is developed. To allow...
We examine in this paper so-called B-critical points of linear, time-varying differential-algebraic ...
We consider linear time-invariant systems of ordinary differential equations with degenerate matrix...
AbstractWe present several solvability concepts for linear differential-algebraic equations (DAEs) w...
Abstract This survey aims at giving a comprehensive overview of the solution the-ory of linear diffe...
AbstractWe consider in this work linear, time-varying differential-algebraic equations (DAEs) of the...
AbstractDifferential algebraic equations (DAEs) define a differential equation on a manifold. A numb...
We discuss implicit systems of ordinary linear differential equations with (time-) variable coeffici...
The analysis of general linear variable coefficient delay differential-algebraic systems (DDAEs) is ...
In this paper linear time-invariant differential algebraic equations (DAEs) are studied; the focus i...