Results 61 to 70 of about 12,740 (173)
Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems
We address the problem of preconditioning a sequence of saddle point linear systems arising in the solution of PDE-constrained optimal control problems via active-set Newton methods, with control and (regularized) state constraints.
Porcelli, Margherita +2 more
core +1 more source
ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim +4 more
wiley +1 more source
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley +1 more source
ABSTRACT This study presents a novel Distributed Robust Adaptive Model Predictive Control (DRAMPC) for tracking in multi‐agent systems. The framework is designed to work with dynamically coupled subsystems and limited communication, which is restricted to local neighborhoods.
Fabio Faliero +2 more
wiley +1 more source
Event‐Triggered Saturating Control for Synchronization of Lur'e Type Complex Dynamic Networks
ABSTRACT This article addresses the problem of synchronizing discrete‐time Lur'e type complex dynamic networks (CDNs) via dynamic event‐triggered control. In particular, it is considered that the control signal of each node is subject to input saturation. Using the Lyapunov Stability Theory, properties of slope‐restricted nonlinearities, and the linear
C. Lisbôa +3 more
wiley +1 more source
A Re‐Examination of Foundational Elements of Cosmology
ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley +1 more source
Representations for the Drazin inverse of the generalized Schur complement
In this paper we present expressions for the Drazin inverse of the generalized Schur complement $A-CD^{d}B$ in terms of the Drazin inverses of $A$ and the generalized Schur complement $D-BA^{d}C$ under less and weaker restrictions, which generalize several results in the literature and the formula of Sherman-Morrison-Woodbury type.
Zhang, Daochang, Du, Xiankun
openaire +2 more sources
Abstract In hydrological research, data assimilation (DA) is a powerful tool for integrating observational data with numerical models, significantly enhancing predictive accuracy. However, nonlinear groundwater systems often exhibit high‐dimensional and non‐Gaussian characteristics in observations, parameters, and state variables, posing substantial ...
Lei Yao +5 more
wiley +1 more source
The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin +18 more
wiley +1 more source
The efficiency factorization multiplier for the Watson efficiency in partitioned linear models: some examples and a literature review [PDF]
We consider partitioned linear models where the model matrix X = (X1 : X2) has full column rank, and concentrate on the special case whereX0 1X2 = 0 when we say that the model is orthogonally partitioned.
Chu, Ka Lok +3 more
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