[图书][B] Variational analysis and applications

BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

Solving mathematical programs with complementarity constraints arising in nonsmooth optimal control

A Nurkanović, A Pozharskiy, M Diehl - Vietnam Journal of Mathematics, 2024 - Springer
This paper examines solution methods for mathematical programs with complementarity
constraints (MPCC) obtained from the time-discretization of optimal control problems (OCPs) …

Online feedback equilibrium seeking

G Belgioioso, D Liao-McPherson… - … on Automatic Control, 2024 - ieeexplore.ieee.org
This paper proposes a unifying design framework for dynamic feedback controllers that track
solution trajectories of time-varying generalized equations, such as local minimizers of …

A novel micromechanics-enhanced phase-field model for frictional damage and fracture of quasi-brittle geomaterials

T You, H Waisman, WZ Chen, JF Shao… - Computer Methods in …, 2021 - Elsevier
Cracking in quasi-brittle geomaterials is a complex mechanical phenomenon, driven by
various dissipation mechanisms across multiple length scales. While some recent promising …

Time-distributed optimization for real-time model predictive control: Stability, robustness, and constraint satisfaction

D Liao-McPherson, MM Nicotra, I Kolmanovsky - Automatica, 2020 - Elsevier
Time-distributed optimization is an implementation strategy that can significantly reduce the
computational burden of model predictive control. When using this strategy, optimization …

The Levenberg–Marquardt method: an overview of modern convergence theories and more

A Fischer, AF Izmailov, MV Solodov - Computational Optimization and …, 2024 - Springer
Abstract The Levenberg–Marquardt method is a fundamental regularization technique for
the Newton method applied to nonlinear equations, possibly constrained, and possibly with …

A unified analysis of descent sequences in weakly convex optimization, including convergence rates for bundle methods

F Atenas, C Sagastizábal, PJS Silva, M Solodov - SIAM Journal on …, 2023 - SIAM
We present a framework for analyzing convergence and local rates of convergence of a
class of descent algorithms, assuming the objective function is weakly convex. The …

Nonlinear model predictive control of a diesel engine air path: A comparison of constraint handling and computational strategies

M Huang, H Nakada, K Butts, I Kolmanovsky - IFAC-PapersOnLine, 2015 - Elsevier
This paper presents the development of a Nonlinear Model Predictive Controller (NMPC) for
the diesel engine air path. The objective is to regulate the intake manifold pressure (MAP) …

A globally convergent proximal Newton-type method in nonsmooth convex optimization

BS Mordukhovich, X Yuan, S Zeng, J Zhang - Mathematical Programming, 2023 - Springer
The paper proposes and justifies a new algorithm of the proximal Newton type to solve a
broad class of nonsmooth composite convex optimization problems without strong convexity …

A Bregman forward-backward linesearch algorithm for nonconvex composite optimization: superlinear convergence to nonisolated local minima

M Ahookhosh, A Themelis, P Patrinos - SIAM Journal on Optimization, 2021 - SIAM
We introduce Bella, a locally superlinearly convergent Bregman forward-backward splitting
method for minimizing the sum of two nonconvex functions, one of which satisfies a relative …