Article
Automation & Control Systems
Laura Menini, Corrado Possieri, Antonio Tornambe
Summary: This article discusses uncertain continuous-time and discrete-time linear time-invariant systems, addressing uncertainties that polynomially affect system dynamics and can be structured. By employing tools from algebraic geometry, the problem of computing distance to internal instability of an internally exponentially stable nominal system is solved, extending previous results applicable to unstructured uncertainties. The choice of the nominal system is framed and resolved as selecting a point in parameter space sufficiently distant from the stability domain boundary, with a simple example of robust control application outlined.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Automation & Control Systems
Do Duc Thuan, Nguyen Hong Son, Cao Thanh Tinh
Summary: This paper investigates differential-algebraic equations subject to stochastic perturbations, introducing the index-nu concept and establishing a solution formula. Stability is analyzed using Lyapunov functions, and robust stability with respect to stochastic perturbations is considered. Formulas for stability radii are derived, with an example provided to illustrate the results.
SYSTEMS & CONTROL LETTERS
(2021)
Article
Veterinary Sciences
Christiane Lutonsky, Christian Peham, Marion Mucha, Bianca Reicher, Rita Gaspar, Alexander Tichy, Barbara Bockstahler
Summary: This study aimed to investigate the impact of external mechanical perturbations on postural stability in dogs. The results showed that external mechanical perturbations significantly affected the dogs' stability, with amplitude having a greater effect than speed. The combination of high amplitude and speed was poorly tolerated by the dogs.
FRONTIERS IN VETERINARY SCIENCE
(2023)
Article
Mathematics, Interdisciplinary Applications
R. Bobryk
Summary: This paper focuses on an SIR model with random additive perturbations of the transmission rate in the spread of an epidemic. Three models of random perturbation are considered, with two models maintaining the condition of positivity of the transmission rate. An efficient numerical procedure is proposed for stability charts in the presence of bounded noise, and the impact of random perturbations on the stability behavior of disease-free equilibrium is discussed.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Applied
Chaojun Yang
Summary: This article refines some numerical radius inequalities of sectorial matrices obtained by Bedrani, Kittaneh, and Sababheh, as well as presents new inequalities involving positive linear maps.
Article
Mathematics, Applied
Mohit Kumar Baghel, Nicolas Gillis, Punit Sharma
Summary: This article examines the necessary and sufficient conditions for identifying matrix pairs X and Y, as well as the unique dissipative mapping with minimal Frobenius norm that maps X to Y. These findings are then used to determine the distance to asymptotic instability for dissipative-Hamiltonian systems under general structure-preserving perturbations.
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
(2021)
Article
Mathematics, Applied
Chaojun Yang
Summary: This article presents operator mean inequalities of sectorial matrices involving operator monotone functions and refines a norm inequality of sectorial matrices involving positive linear maps. The results also include discussions on specific mathematical conditions and criteria.
Article
Physics, Multidisciplinary
Dorsa Nezhad Hajian, Gayathri Vivekanandhan, Hayder Natiq, Fatemeh Parastesh, Karthikeyan Rajagopal, Safari Jafari
Summary: This paper investigates the complete synchronizability of coupled periodically forced chaotic systems using the master stability function method. Three classic chaotic systems are employed for this study, and numerical simulations supporting the findings are reported. The results suggest that chaotic forced systems tend to synchronize at weaker couplings than the autonomous versions with increased stimulation, while high-frequency stimulation is completely ineffective. The required forcing amplitude also depends on the system's attractor size.
Article
Mathematics, Applied
Ying Chao, Pingyuan Wei, Jinqiao Duan
Summary: This work investigates the (top) Lyapunov exponent for a class of Hamiltonian systems under small non-Gaussian Levy-type noise with bounded jumps, estimating it using a Pinsky-Wihstutz transformation and the Khas'minskii formula. The study presents results with appropriate assumptions on smoothness, ergodicity, and integrability, and illustrates them with two examples.
Article
Mechanics
XiaoQi Jia, Yong Zhang, Hao Lv, ZuChao Zhu
Summary: Cavitation in centrifugal pumps can lead to reduced performance, chaotic flow regimes, and flow loss. The current criterion for determining cavitation occurrence is a 3% head drop, but cavitation often occurs with less than a 1%-2% head drop due to significant changes in internal flow. This paper focuses on analyzing the changing patterns in internal flow characteristics during the early stage of cavitation in a low specific speed centrifugal pump. By examining distributions of total internal pressure, speed, bubble volume, vortex structure, and entropy generation, the study aims to provide insights for anti-cavitation hydraulic design of centrifugal pumps.
Article
Automation & Control Systems
Muhammed Bahadir Saltik, Leyla Ozkan, Siep Weiland
Summary: This article presents a novel linear model predictive control (MPC) strategy for uncertain dynamical systems, based on the moments of cost and constraint functions. It shows that moment based MPC formulations yield computationally tractable control problems. The article considers different MPC configurations and constraints, and demonstrates the effectiveness of the proposed technique through simulation examples.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Computer Science, Theory & Methods
R. Vrabel
Summary: This paper establishes a new criterion for the robustness of global asymptotic stability of the zero solution of an LTV system in the presence of external perturbations. The use of logarithmic norm makes stability a topological notion dependent on the chosen vector norm in the state-space R-n.
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
(2021)
Article
Mathematics, Applied
E. H. Gomes Tavares, M. A. Jorge Silva, T. F. Ma
Summary: We provide a comprehensive understanding of the (uniform) exponential stabilization for a specific class of viscoelastic models in the presence of small delay perturbations. The key focus lies on the concept of admissible kernels. While previous literature often emphasizes the use of exponential/general kernels as sufficient conditions for exponential/general stability of the entire viscoelastic system, our objective is to demonstrate that the more generalized concept of admissible kernels is not only sufficient but also necessary for exponential stability in linear viscoelasticity under small delay perturbations.
APPLIED MATHEMATICS AND OPTIMIZATION
(2023)
Article
Astronomy & Astrophysics
Marco Drewes, Jamie McDonald, Loic Sablon, Edoardo Vitagliano
Summary: This paper reexamines the effects of neutrino emission on the cooling of white dwarfs and investigates the influence of magnetic fields on plasma decay. The study reveals that even if the magnetic field strength on the stellar surface is limited by observations, the magnetic fields within white dwarfs could still be strong enough to modify the cooling rate.
ASTROPHYSICAL JOURNAL
(2022)
Article
Physics, Multidisciplinary
Qi-Ming Pei, Bin-Qian Zhou, Yi-Fan Zhou, Charles Omotomide Apata, Long Jiang
Summary: The study explores the impact of noise propagation on cell homeostasis stability, finding that the optimal stability factor for maintaining high stability and low noise in colon cell cascade. Different types of cells have different sources of noise and levels of contribution to total noise.
Article
Ecology
Robin Delsol, Michel Loreau, Bart Haegeman
GLOBAL ECOLOGY AND BIOGEOGRAPHY
(2018)
Article
Biology
J. -F. Arnoldi, A. Bideault, M. Loreau, B. Haegeman
JOURNAL OF THEORETICAL BIOLOGY
(2018)
Article
Multidisciplinary Sciences
Staffan Jacob, Estelle Laurent, Bart Haegeman, Romain Bertrand, Jerome G. Prunier, Delphine Legrand, Julien Cote, Alexis S. Chaine, Michel Loreau, Jean Clobert, Nicolas Schtickzelle
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2018)
Article
Ecology
Daniel Montoya, Bart Haegeman, Sabrina Gaba, Claire De Mazancourt, Vincent Bretagnolle, Michel Loreau
ECOLOGICAL APPLICATIONS
(2019)
Article
Ecology
Jean-Francois Arnoldi, Michel Loreau, Bart Haegeman
Article
Biology
Giovanni Laudanno, Bart Haegeman, Rampal S. Etienne
BULLETIN OF MATHEMATICAL BIOLOGY
(2020)
Article
Statistics & Probability
Francisco Richter, Bart Haegeman, Rampal S. Etienne, Ernst C. Wit
STATISTICA NEERLANDICA
(2020)
Article
Evolutionary Biology
Giovanni Laudanno, Bart Haegeman, Daniel L. Rabosky, Rampal S. Etienne
Summary: This article introduces different models and inference methods for phylogenetic trees with varying diversification rates, proposing a new framework for calculating likelihood that has been shown to be more accurate through simulations. The corrected likelihood can also be applied to models with multiple rate shifts, resolving the recent debate on unobserved shifts in diversification rates.
SYSTEMATIC BIOLOGY
(2021)
Editorial Material
Ecology
Alexis D. Synodinos, Bart Haegeman, Arnaud Sentis, Jose M. Montoya
Summary: This study develops an approach that combines sensitivity analysis and aggregate parameters to make predictions about the impacts of temperature changes on ecosystems. Predictions suggest complex and important relationships between resource growth rate, interaction strength, and environmental temperature.
Article
Plant Sciences
Daniel Montoya, Bart Haegeman, Sabrina Gaba, Claire De Mazancourt, Michel Loreau
Summary: Ensuring stable food supplies is a major challenge for the 21st century. Increased and stabilized crop production is crucial for food security, and biodiversity-based approaches are being increasingly supported. However, understanding of the effects of agricultural fragmentation on food production remains incomplete, limiting the ability to manage agricultural landscapes effectively.
JOURNAL OF ECOLOGY
(2021)
Article
Multidisciplinary Sciences
Elvire Bestion, Bart Haegeman, Soraya Alvarez Codesal, Alexandre Garreau, Michele Huet, Samuel Barton, Jose M. Montoya
Summary: This research reveals that temperature fluctuations alter the importance of biodiversity for ecosystem functioning, with wider fluctuations exacerbating the negative impact of species loss on ecosystem functioning. Species-rich communities are able to maintain ecosystem functioning under climate change, while species-poor communities typically cannot.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2021)
Article
Ecology
Arnaud Sentis, Bart Haegeman, Jose M. Montoya
Summary: Temperature and nutrients are key drivers of global change, affecting the elemental composition and dynamics of ecological communities. Stoichiometric constraints and nutrient dynamics play important roles in mediating the impacts of temperature and nutrients on ecological functioning and biomass distribution across trophic levels.
Review
Ecology
Allan Raffard, Elvire Bestion, Julien Cote, Bart Haegeman, Nicolas Schtickzelle, Staffan Jacob
Summary: Dispersal syndromes play a crucial role in shaping the functioning and evolutionary dynamics of meta-ecosystems by mediating the flow of functional traits and influencing the spatial heterogeneity of ecosystem functions.
TRENDS IN ECOLOGY & EVOLUTION
(2022)
Article
Immunology
Cecile Apert, Ariel O. Galindo-Albarran, Sarah Castan, Claire Detraves, Heloise Michaud, Nicola McJannett, Bart Haegeman, Simon Fillatreau, Bernard Malissen, Georg Hollander, Saulius Zuklys, Jeremy C. Santamaria, Olivier P. Joffre, Paola Romagnoli, Joost P. M. van Meerwijk
Summary: This study reevaluated the role of IL-2 and IL-15 in the development of regulatory T-lymphocytes (Treg) and found that IL-2 and IL-15 play important non-redundant quantitative and qualitative roles in intrathymic Treg development.
FRONTIERS IN IMMUNOLOGY
(2022)
Article
Ecology
Bart Haegeman, Rampal S. Etienne
METHODS IN ECOLOGY AND EVOLUTION
(2017)