Results 151 to 160 of about 72,220 (275)
Neural network‐based offset‐free model predictive control for nonlinear systems
AIChE Journal, Volume 72, Issue 2, February 2026.Abstract This paper proposes an offset‐free model predictive control (MPC) framework for nonlinear systems modeled using neural network‐based nonlinear autoregressive models with exogenous inputs (NARX). To address plant‐model mismatch and ensure offset‐free tracking, the NARX model is augmented with an integrating disturbance model, resulting in an ...
Hesam Hassanpour, Prashant Mhaskar
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials [PDF]
, 2005 Vadim Kostrykin, Ivan Veselić
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger +2 more
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Some convergently three-term trust region conjugate gradient algorithms under gradient function non-Lipschitz continuity. [PDF]
Sci RepHu W, Wu J, Yuan G.
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On Hyperexponential Stabilization of Perturbed Unicycle Dynamics
International Journal of Robust and Nonlinear Control, Volume 36, Issue 3, Page 1477-1486, February 2026.ABSTRACT The problem of hyperexponential stabilization for a mobile robot is addressed by leveraging its kinematic model with external perturbations. To this end, a robust nonlinear control law is designed, and several state and time transformations are introduced, reformulating the system model to an interconnection of integrators.
Moussa Labbadi, Denis Efimov
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Evolution's hidden architecture: a non-lipschitz theory of creation and catastrophe. [PDF]
BMC Ecol EvolDurán-Olivencia MA.
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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
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