Results 51 to 60 of about 299,324 (278)

Iterative Linear Quadratic Optimization for Nonlinear Control: Differentiable Programming Algorithmic Templates

Open Journal of Mathematical Optimization
Iterative optimization algorithms depend on access to information about the objective function. In a differentiable programming framework, this information, such as gradients, can be automatically derived from the computational graph.
Roulet, Vincent, Srinivasa, Siddhartha, Fazel, Maryam, Harchaoui, Zaid   +3 more
doaj   +1 more source

Highly efficient numerical scheme for solving fuzzy system of linear and non-linear equations with application in differential equations

Applied Mathematics in Science and Engineering, 2022
In this research, we suggested a numerical iterative scheme for investigating the numerical solution of fuzzy linear and nonlinear systems of equations, particularly where the linear or nonlinear system co-efficient is a crisp number and the right-hand ...
Mudassir Shams, Nasreen Kausar, Praveen Agarwal, Shaher Momani, Mohd Asif Shah   +4 more
doaj   +1 more source

Air‐Pressure–Actuated Vibroacoustic Metamaterial With Tunable Bandgap: Design, Modeling, and Characterization

Advanced Engineering Materials, EarlyView.
This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal, Michael M. Becker, Sarah C. L. Fischer   +2 more
wiley   +1 more source

The Squared Slacks Transformation in Nonlinear Programming

Sultan Qaboos University Journal for Science, 2012
In this short paper, we recall the use of squared slacks used to transform inequality constraints into equalities and several reasons why their introduction may be harmful in many algorithmic frameworks routinely used in nonlinear programming.
Paul Armand, Dominique Orban
doaj   +1 more source

Sequential Convex Programming Methods for Solving Nonlinear Optimization Problems with DC constraints [PDF]

, 2011
This paper investigates the relation between sequential convex programming (SCP) as, e.g., defined in [24] and DC (difference of two convex functions) programming.
Diehl, Moritz, Quoc, Tran Dinh
core  

Moment and SDP relaxation techniques for smooth approximations of problems involving nonlinear differential equations

, 2010
Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinear differential equations.
Henrion, Didier, Lasserre, Jean-Bernard, Mevissen, Martin   +2 more
core   +2 more sources

A Topology Optimization Framework for the Inverse Design of Nonlinear Mechanical Metamaterials

Advanced Engineering Materials, EarlyView.
This work uses topology optimization to design unit cells for mechanical metamaterials with a prescribed nonlinear stress–strain response. The framework adds contact and postbuckling modeling to synthesize microstructures for three highly nonlinear responses, including pseudoductile behavior, monostable with snap‐through buckling, and bistable ...
Charlie Aveline, Matthew Santer, Robert Hewson   +2 more
wiley   +1 more source

Modulating Two‐Photon Absorption in a Pyrene‐Based MOF Series: An In‐Depth Investigation of Structure–Property Relationships

Advanced Functional Materials, EarlyView.
This study investigates H4TBAPy‐based metal–organic frameworks (MOFs) ‐ NU‐1000, NU‐901, SrTBAPy, and BaTBAPy ‐ for multiphoton absorption (MPA) performance. It observes topology‐dependent variations in the 2PA cross‐section, with BaTBAPy exhibiting the highest activity.
Simon N. Deger, Helmy Pacheco Hernandez, Yang Cui, Hongxing Hao, Vanessa Ramm, David C. Mayer, Khai‐Nghi Truong, Roland A. Fischer, Jürgen Hauer, Mariana Kozlowska, Alexander Pöthig   +10 more
wiley   +1 more source

Exact Travelling Wave Solutions of the Nonlinear Evolution Equations by Improved F-Expansion in Mathematical Physics

Communications in Advanced Mathematical Sciences, 2020
With the assistance of representative calculation programming, the present paper examines the careful voyaging wave arrangements from the general (2+1)-dimensional nonlinear development conditions by utilizing the Improved F-expansion strategy.
Md. Habibul Bashar, Mamunur Roshid
doaj   +1 more source

Controller Synthesis for Discrete-Time Polynomial Systems via Occupation Measures

, 2018
In this paper, we design nonlinear state feedback controllers for discrete-time polynomial dynamical systems via the occupation measure approach. We propose the discrete-time controlled Liouville equation, and use it to formulate the controller synthesis
Han, Weiqiao, Tedrake, Russ
core   +1 more source