We develop a stability theory for time-varying linear differential algebraic equations (DAEs). Standard stability concepts for ODEs are formulated for DAEs and characterized. Lyapunov’s direct method is derived as well as the converse of the stability theorems. Stronger results are achieved for DAEs which are transferable into standard canonical form; in this case the existence of the generalized transition matrix is exploited
summary:The paper presents overview of applications of A. M. Lyapunov’s direct method to stability i...
We study switched nonlinear differential algebraic equations (DAEs) with respect to existence and na...
The stability analysis for nonlinear differential-algebraic systems is addressed using tools from cl...
We develop a stability theory for time-varying linear differential algebraic equations (DAEs). Stand...
We introduce a solution theoryfor time-varying linear differential-algebraic equations(DAEs) E(t)˙x =...
This paper studies linear switched differential algebraic equations (DAEs), i.e., systems defined by...
AbstractWe study conditions under which the solutions of a time varying linear dynamic system of the...
This thesis contributes to the qualitative theory of differential-algebraic equations(DAEs) by provi...
We study stability of linear time-varying differential-algebraic equations (DAEs). The Bohl exponent...
The state of the art in the spectral theory of linear time-varying differential-algebraic equations ...
Dichotomic maps are used to check the stability of ordinary differential equations and difference eq...
This paper presents a survey of recent results on the robust stability analysis and the distance to ...
summary:In this paper, there are derived sufficient conditions for exponential and asymptotic stabil...
AbstractWe develop eigenvalue criteria under which the solutions of a “slowly” time varying linear d...
AbstractEffective necessary and sufficient conditions are established for the stability in theLyapun...
summary:The paper presents overview of applications of A. M. Lyapunov’s direct method to stability i...
We study switched nonlinear differential algebraic equations (DAEs) with respect to existence and na...
The stability analysis for nonlinear differential-algebraic systems is addressed using tools from cl...
We develop a stability theory for time-varying linear differential algebraic equations (DAEs). Stand...
We introduce a solution theoryfor time-varying linear differential-algebraic equations(DAEs) E(t)˙x =...
This paper studies linear switched differential algebraic equations (DAEs), i.e., systems defined by...
AbstractWe study conditions under which the solutions of a time varying linear dynamic system of the...
This thesis contributes to the qualitative theory of differential-algebraic equations(DAEs) by provi...
We study stability of linear time-varying differential-algebraic equations (DAEs). The Bohl exponent...
The state of the art in the spectral theory of linear time-varying differential-algebraic equations ...
Dichotomic maps are used to check the stability of ordinary differential equations and difference eq...
This paper presents a survey of recent results on the robust stability analysis and the distance to ...
summary:In this paper, there are derived sufficient conditions for exponential and asymptotic stabil...
AbstractWe develop eigenvalue criteria under which the solutions of a “slowly” time varying linear d...
AbstractEffective necessary and sufficient conditions are established for the stability in theLyapun...
summary:The paper presents overview of applications of A. M. Lyapunov’s direct method to stability i...
We study switched nonlinear differential algebraic equations (DAEs) with respect to existence and na...
The stability analysis for nonlinear differential-algebraic systems is addressed using tools from cl...