Data-based polyhedron model for optimization of engineering structures involving uncertainties
This paper studies the data-based polyhedron model and its application in uncertain linear optimization of engineering structures, especially in the absence of information either on probabilistic properties or about membership functions in the fussy sets-
Zhiping Qiu +3 more
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Least Squares Method for Solving Fuzzy LR Interval Algebraic Linear Systems
We first investigate the solvability conditions of fuzzy LR interval algebraic linear systems with fuzzy LR interval coefficient matrix and fuzzy LR interval hand-right vector.
Mehrnoosh Salari +2 more
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Optimal Power Flow Solution for Bipolar DC Networks Using a Recursive Quadratic Approximation
The problem regarding of optimal power flow in bipolar DC networks is addressed in this paper from the recursive programming stand of view. A hyperbolic relationship between constant power terminals and voltage profiles is used to resolve the optimal ...
Oscar Danilo Montoya +2 more
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PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming [PDF]
Suppose we wish to recover a signal \input amssym $\font\abc=cmmib10\def\bi#1{\hbox{\abc#1}} {\bi x} \in {\Bbb C}^n$ from m intensity measurements of the form $\font\abc=cmmib10\def\bi#1{\hbox{\abc#1}} |\langle \bi x,\bi z_i \rangle|^2$, $i = 1, 2 ...
E. Candès, T. Strohmer, V. Voroninski
semanticscholar +1 more source
The convex nonlinear second-order cone programming with linear constraints is equivalent to a separate structure convex programming. A prediction-correction inexact alternating direction method is proposed for the separate structure convex programming ...
Yaling Zhang, Hongwei Liu
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Pseudospectral Convex Programming for Free-Floating Space Manipulator Path Planning
To efficiently plan the point-to-point path for a 7-degrees-of-freedom (7-DOF) free-floating space manipulator system, a path planning method based on Legendre pseudospectral convex programming (LPCP) is proposed.
Danyi Li +7 more
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Chance-Constrained Sequential Convex Programming for Robust Trajectory Optimization
Planning safe trajectories for nonlinear dynamical systems subject to model uncertainty and disturbances is challenging. In this work, we present a novel approach to tackle chance-constrained trajectory planning problems with nonconvex constraints ...
T. Lew, Riccardo Bonalli, M. Pavone
semanticscholar +1 more source
Convex Optimization for Rendezvous and Proximity Operation via Birkhoff Pseudospectral Method
Rapid and accurate rendezvous and proximity operations for spacecraft are crucial to the success of most space missions. In this paper, a sequential convex programming method, combined with the first-order and second-order Birkhoff pseudospectral methods,
Zhiwei Zhang +4 more
doaj +1 more source
Optimal Guidance and Control with Nonlinear Dynamics Using Sequential Convex Programming
This paper presents a novel method for expanding the use of sequential convex programming (SCP) to the domain of optimal guidance and control problems with nonlinear dynamics constraints.
R. Foust, Soon-Jo Chung, F. Hadaegh
semanticscholar +1 more source
Hessian Riemannian Gradient Flows in Convex Programming [PDF]
In view of solving theoretically constrained minimization problems, we investigate the properties of the gradient flows with respect to Hessian Riemannian metrics induced by Legendre functions. The first result characterizes Hessian Riemannian structures
F. Alvarez, J. Bolte, O. Brahic
semanticscholar +1 more source

