Results 61 to 70 of about 91,674 (304)

A dynamically-consistent nonstandard finite difference scheme for the SICA model

Mathematical Biosciences and Engineering, 2021
In this work, we derive a nonstandard finite difference scheme for the SICA (Susceptible–Infected–Chronic–AIDS) model and analyze the dynamical properties of the discretized system.
Sandra Vaz, Delfim F. M. Torres
doaj   +1 more source

Lyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functions

, 1995
We compute the Lyapunov exponent, generalized Lyapunov exponents and the diffusion constant for a Lorentz gas on a square lattice, thus having infinite horizon.
B. Friedman, C. Beck, D. Ruelle, D. Ruelle, H. Beijeren van, H. H. Rugh, J. H. Hannay, J.-P. Bouchaud, L. M. Abramov, L. Warnemyr, M. Abramovitz, M. Pollicott, M. V. Berry, N. I. Chernov, P. Cvitanović, P. Cvitanović, P. Cvitanović, P. Cvitanović, P. Dahlqvist, P. Dahlqvist, P. Dahlqvist, P. L. Garrido, P. M. Bleher, Per Dahlqvist, R. Artuso, V. Baladi, Y. G. Sinai   +26 more
core   +1 more source

Combining Trajectory Data with Analytical Lyapunov Functions for Improved Region of Attraction Estimation [PDF]

, 2021
Lucas Lugnani, Morgan Jones, Luís F. C. Alberto, M.J. Peet, Daniel Dotta   +4 more
openalex   +1 more source

Wearable exoskeleton robot control using radial basis function‐based fixed‐time terminal sliding mode with prescribed performance

Asian Journal of Control, EarlyView.
Abstract This paper tackles the problem of robust and accurate fixed‐time tracking in human–robot interaction and deals with uncertainties. This work introduces a control approach for a wearable exoskeleton designed specifically for rehabilitation tasks.
Mahmoud Abdallah, Yassine Kali, Maarouf Saad, Raouf Fareh, Maamar Bettayeb   +4 more
wiley   +1 more source

Robust Control Barrier and Control Lyapunov Functions with Fixed-Time Convergence Guarantees [PDF]

, 2021
Kunal Garg, Dimitra Panagou
openalex   +1 more source

Risk‐aware safe reinforcement learning for control of stochastic linear systems

Asian Journal of Control, EarlyView.
Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili, Nariman Niknejad, Hamidreza Modares   +2 more
wiley   +1 more source

Initial Time Difference Stability of Causal Differential Systems in terms of Lyapunov Functions and Lyapunov Functionals

Journal of Applied Mathematics, 2014
We investigate the qualitative behavior of a perturbed causal differential equation that differs in initial position and initial time with respect to the unperturbed causal differential equations.
Coşkun Yakar, Mustafa Bayram Gücen
doaj   +1 more source

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source

Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions

Complexity, 2019
In this paper, we investigate the ultimate bound set and positively invariant set of a 3D Lorenz-like chaotic system, which is different from the well-known Lorenz system, Rössler system, Chen system, Lü system, and even Lorenz system family. Furthermore,
Fuchen Zhang
doaj   +1 more source

Stabilization of a nonlinear Euler-Bernoulli viscoelastic beam subjected to a neutral delay [PDF]

Theoretical and Applied Mechanics
An approach is implemented in this article to analyze the decay rate of nonlinear beams according to the Euler–Bernoulli equation in the context of rheological viscoelastic damping deformations taking into account the neutral type delay.
Lakehal Ibrahim, Benterki Djamila, Zennir Khaled   +2 more
doaj   +1 more source