A Lyapunov approach to stability of positive semigroups: an overview with illustrations
Sign Up to like & getrecommendations! Published in 2023 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2023.2206880
Abstract: The stability analysis of possibly time varying positive semigroups on non necessarily compact state spaces, including Neumann and Dirichlet boundary conditions is a notoriously difficult subject. These crucial questions arise in a variety of areas… read more here.
Keywords: non necessarily; stability positive; lyapunov approach; approach stability ... See more keywords
Lyapunov approach to synchronization of chaotic systems with vanishing nonlinear perturbations: From static to dynamic couplings.
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review E"
DOI: 10.1103/physreve.102.012211
Abstract: Synchronization of chaotic dynamics can be pursued by means of different coupling strategies. Definitely, master-slave coupling represents one of the most adopted solutions, even if it presents some limitations due to the coupling term's selection… read more here.
Keywords: synchronization chaotic; lyapunov approach; static dynamic; dynamic couplings ... See more keywords
A Lyapunov Approach to Robust Regulation of Distributed Port–Hamiltonian Systems
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3069679
Abstract: This article studies robust output tracking and disturbance rejection for boundary-controlled infinite-dimensional Port–Hamiltonian systems including second-order models such as the Euler–Bernoulli beam equation. The control design is achieved using the internal model principle and the… read more here.
Keywords: lyapunov approach; hamiltonian systems; port hamiltonian; approach robust ... See more keywords
Synchronization results for a class of fractional-order spatiotemporal partial differential systems based on fractional Lyapunov approach
Sign Up to like & getrecommendations! Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-019-1188-y
Abstract: In this paper, the problem of synchronization of a class of spatiotemporal fractional-order partial differential systems is studied. Subject to homogeneous Neumann boundary conditions and using fractional Lyapunov approach, nonlinear and linear control schemes have… read more here.
Keywords: differential systems; lyapunov approach; fractional lyapunov; partial differential ... See more keywords