Zobrazeno 1 - 10
of 6 709
pro vyhledávání: '"Lessard, P"'
This paper introduces a novel control strategy for agile spacecraft attitude control, addressing reaction wheel-related input and state constraints. An optimal-decay control Lyapunov function quadratic program stabilizes the system and mitigates chat
Externí odkaz:
http://arxiv.org/abs/2409.19936
Backtracking line search is foundational in numerical optimization. The basic idea is to adjust the step size of an algorithm by a constant factor until some chosen criterion (e.g. Armijo, Goldstein, Descent Lemma) is satisfied. We propose a new way
Externí odkaz:
http://arxiv.org/abs/2408.13150
Autor:
Calleja, Renato, García-Azpeitia, Carlos, Hénot, Olivier, Lessard, Jean-Philippe, James, Jason D. Mireles
For the three body problem with equal masses, we prove that the most symmetric continuation class of Lagrange's equilateral triangle solution, also referred to as the $P_{12}$ family of Marchal, contains the remarkable figure eight choreography disco
Externí odkaz:
http://arxiv.org/abs/2406.17564
This vision paper focuses on the mental health crisis impacting healthcare workers (HCWs), which exacerbated by the COVID-19 pandemic, leads to increased stress and psychological issues like burnout. Peer Support Programs (PSP) are a recognized inter
Externí odkaz:
http://arxiv.org/abs/2407.11197
In the dynamics generated by the suspension bridge equation, traveling waves are an essential feature. The existing literature focuses primarily on the idealized one-dimensional case, while traveling structures in two spatial dimensions have only bee
Externí odkaz:
http://arxiv.org/abs/2405.19759
This paper introduces a novel computer-assisted method for detecting and constructively proving the existence of cusp bifurcations in differential equations. The approach begins with a two-parameter continuation along which a tool based on the theory
Externí odkaz:
http://arxiv.org/abs/2404.00535
Publikováno v:
Journal of Differential Equations, volume = {414}, pages = {555-608}, year = {2025}
In this paper, we present a methodology for establishing constructive proofs of existence of smooth, stationary, non-radial localized patterns in the planar Swift-Hohenberg equation. Specifically, given an approximate solution $u_0$, we construct an
Externí odkaz:
http://arxiv.org/abs/2403.10450
Autor:
Gavranović, Bruno, Lessard, Paul, Dudzik, Andrew, von Glehn, Tamara, Araújo, João G. M., Veličković, Petar
We present our position on the elusive quest for a general-purpose framework for specifying and studying deep learning architectures. Our opinion is that the key attempts made so far lack a coherent bridge between specifying constraints which models
Externí odkaz:
http://arxiv.org/abs/2402.15332
In this paper, we introduce a general constructive method to compute solutions of initial value problems of semilinear parabolic partial differential equations via semigroup theory and computer-assisted proofs. Once a numerical candidate for the solu
Externí odkaz:
http://arxiv.org/abs/2402.00406
Autor:
Kroumi, Dhaker, Lessard, Sabin
In this paper, we study a finite population undergoing discrete, nonoverlapping generations, that is structured into $D$ demes, each containing $N$ individuals of two possible types, $A$ and $B$, whose viability coefficients, $s_A$ and $s_B$, respect
Externí odkaz:
http://arxiv.org/abs/2311.00275