Lyapunov--Krasovskii Characterization of the Input-to-State Stability for Switching Retarded Systems
In this paper we characterize various stability notions of nonlinear switching retarded
systems by the existence of a common Lyapunov--Krasovskii functional with suitable …
systems by the existence of a common Lyapunov--Krasovskii functional with suitable …
Lyapunov characterization of uniform exponential stability for nonlinear infinite-dimensional systems
In this article, we deal with infinite-dimensional nonlinear forward complete dynamical
systems which are subject to uncertainties. We first extend the well-known Datko lemma to …
systems which are subject to uncertainties. We first extend the well-known Datko lemma to …
Lyapunov–Krasovskii characterizations of stability notions for switching retarded systems
In this article, we characterize the global asymptotic and exponential stability of nonlinear
switching retarded systems through direct and converse Lyapunov-Krasovskii theorems …
switching retarded systems through direct and converse Lyapunov-Krasovskii theorems …
ISS characterization of retarded switching systems with relaxed Lyapunov–Krasovskii functionals
This paper gives further insights about the Lyapunov–Krasovskii characterization of input-to-
state stability (ISS) for switching retarded systems on the basis of the results in [I. Haidar and …
state stability (ISS) for switching retarded systems on the basis of the results in [I. Haidar and …
Non-coercive Lyapunov–Krasovskii functionals for exponential stability of time-varying delay systems: a switched system approach
I Haidar - 2022 10th International Conference on Systems and …, 2022 - ieeexplore.ieee.org
In this paper we deal with a class of time-varying delay systems. We show that the existence
of a non-coercive Lyapunov–Krasovskii functional is necessary and sufficient for local …
of a non-coercive Lyapunov–Krasovskii functional is necessary and sufficient for local …
Contribution on the study of complex dynamical systems: applications in population dynamics
I Haidar - 2023 - hal.science
Many systems encountered in practice result from the switching between different individual
autonomous dynamics. The first contribution of this thesis concerns the stability analysis of …
autonomous dynamics. The first contribution of this thesis concerns the stability analysis of …
Converse Lyapunov theorems for infinite-dimensional nonlinear switching systems
In this paper, we provide two converse Lya-punov theorems in the framework of nonlinear
infinite-dimensional switching systems. Our results characterize uniform exponential stability …
infinite-dimensional switching systems. Our results characterize uniform exponential stability …