118 citations · 599 across the 48 of their papers we have counts for
12 papers · 1 filter
Polynomial Stability of Non-Linearly Damped Contraction Semigroups
Lassi Paunonen, David Seifert
We investigate the stability properties of an abstract class of semi-linear systems. Our main result establishes rational rates of decay for classical solutions assuming a certain…
A non-uniform Datko-Pazy theorem for bounded operator semigroups
Lassi Paunonen, David Seifert, Nicolas Vanspranghe
We present a non-uniform analogue of the classical Datko-Pazy theorem. Our main result shows that an integrability condition imposed on orbits originating in a fractional domain of…
Limit-case admissibility for positive infinite-dimensional systems
Sahiba Arora, Jochen Glück, Lassi Paunonen +1
In the context of positive infinite-dimensional linear systems, we systematically study -admissible control and observation operators with respect to the limit-cases $p=\infty…
Stability of abstract coupled systems
Serge Nicaise, Lassi Paunonen, David Seifert
We study stability of abstract differential equations coupled by means of a general algebraic condition. Our approach is based on techniques from operator theory and systems theory…
Asymptotics and approximation of large systems of ordinary differential equations
Lassi Paunonen, David Seifert
In this paper we continue our earlier investigations into the asymptotic behaviour of infinite systems of coupled differential equations. Under the mild assumption that the so-call…
Non-uniform Stability of Damped Contraction Semigroups
Ralph Chill, Lassi Paunonen, David Seifert +2
We investigate the stability properties of strongly continuous semigroups generated by operators of the form , where is a generator of a contraction semigroup and $B…
Asymptotics for periodic systems
Lassi Paunonen, David Seifert
This paper investigates the asymptotic behaviour of solutions of periodic evolution equations. Starting with a general result concerning the quantified asymptotic behaviour of peri…
Asymptotic behaviour of coupled systems in discrete and continuous time
L. Paunonen, D. Seifert
This paper investigates the asymptotic behaviour of solutions to certain infinite systems of coupled recurrence relations. In particular, we obtain a characterisation of those init…
Asymptotics for infinite systems of differential equations
Lassi Paunonen, David Seifert
This paper investigates the asymptotic behaviour of solutions to certain infinite systems of ordinary differential equations. In particular, we use results from ergodic theory and…
Robustness of Strong Stability of Discrete Semigroups
Lassi Paunonen
In this paper we study the robustness of strong stability of a discrete semigroup on a Hilbert space under bounded finite rank perturbations. As the main result we characterize cla…
Polynomial Stability of Semigroups Generated by Operator Matrices
Lassi Paunonen
In this paper we study the stability properties of strongly continuous semigroups generated by block operator matrices. We consider triangular and full operator matrices whose diag…
Robustness of strong stability of semigroups
Lassi Paunonen
In this paper we study the preservation of strong stability of strongly continuous semigroups on Hilbert spaces. In particular, we study a situation where the generator of the semi…