2000 Mathematics Subject Classification. 34C11, 39A10, 37B55, 34D99We prove a necessary and sufficient condition for the exponential stability of time-invariant linear systems on time scales in terms of the eigenvalues of the system matrix. In particular, this unifies the corresponding characterizations for finite-dimensional differential and difference equations. To this end we use a representation formula for the transition matrix of Jordan reducible systems in the regressive case. Also we give conditions under which the obtained characterizations can be exactly calculated and explicitly calculate the region of stability for several examples
We examine the various types of stability for the solutions of linear dynamic systems on time scales...
The concept of diagonally invariant exponential stability (DIES) was originally introduced for singl...
: Motivated by a robust exponential stability problem of a finite dimensional state space system, we...
A spectral characterization of exponential stability for linear time-invariant systems on time scale...
AbstractWe study conditions under which the solutions of a time varying linear dynamic system of the...
AbstractWe develop eigenvalue criteria under which the solutions of a “slowly” time varying linear d...
In this paper, we establish connections between the Hyers– Ulam stability of the first order l...
The aim of this paper is to characterize the exponential stability of linear systems of difference e...
We complete the stability results of the paper Bourlès et al. (SIAM J Control Optim 53:27252761, 201...
This paper deals with stability of linear periodic time-varying difference delay systems, i.e. dynam...
Abstract: This study firstly considers the exponential stability of unforced linear systems of slowl...
Includes bibliographical references (p. 128-130).In this work, we examine linear systems theory in t...
In this work, we examine linear systems theory in the arbitrary time scale set-ting by considering L...
For a wide class of infinite-dimensional linear systems it is shown that if the state-space realizat...
We investigate the exponential stability of the zero solution to a system of dynamic equa-tions on t...
We examine the various types of stability for the solutions of linear dynamic systems on time scales...
The concept of diagonally invariant exponential stability (DIES) was originally introduced for singl...
: Motivated by a robust exponential stability problem of a finite dimensional state space system, we...
A spectral characterization of exponential stability for linear time-invariant systems on time scale...
AbstractWe study conditions under which the solutions of a time varying linear dynamic system of the...
AbstractWe develop eigenvalue criteria under which the solutions of a “slowly” time varying linear d...
In this paper, we establish connections between the Hyers– Ulam stability of the first order l...
The aim of this paper is to characterize the exponential stability of linear systems of difference e...
We complete the stability results of the paper Bourlès et al. (SIAM J Control Optim 53:27252761, 201...
This paper deals with stability of linear periodic time-varying difference delay systems, i.e. dynam...
Abstract: This study firstly considers the exponential stability of unforced linear systems of slowl...
Includes bibliographical references (p. 128-130).In this work, we examine linear systems theory in t...
In this work, we examine linear systems theory in the arbitrary time scale set-ting by considering L...
For a wide class of infinite-dimensional linear systems it is shown that if the state-space realizat...
We investigate the exponential stability of the zero solution to a system of dynamic equa-tions on t...
We examine the various types of stability for the solutions of linear dynamic systems on time scales...
The concept of diagonally invariant exponential stability (DIES) was originally introduced for singl...
: Motivated by a robust exponential stability problem of a finite dimensional state space system, we...
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