Results 41 to 50 of about 5,090,070 (358)
Generic uniqueness of saddle point for two-person zero-sum differential games
Open Mathematics, 2022 The generic uniqueness of saddle point for two-person zero-sum differential games, within the class of open-loop, against the perturbation of the right-hand side function of the control system is investigated.
Ji Wei
doaj +1 more source
On replica-nondiagonal large N saddles in the SYK model
EPJ Web of Conferences, 2018 We study the saddle points of the SYK model, formulated in terms of the replica bilocal fields, beyond the replica-diagonal assumption. We find a family of replica-nondiagonal saddle points in the IR limit, where the saddle point equations are separable.
Aref’eva Irina +3 more
doaj +1 more source
Distributed Economic Dispatch Control via Saddle Point Dynamics and Consensus Algorithms
IEEE Transactions on Control Systems Technology, 2019 In this brief, a distributed control algorithm is proposed to solve the economic dispatch problem. Without a central control unit, the generators work collaboratively to minimize the generation cost while balancing the supply and demand.
Lu Bai, Maojiao Ye, Chao Sun, G. Hu
semanticscholar +1 more source
Saddles in the energy landscape: extensivity and thermodynamic formalism [PDF]
Phys. Rev. Lett. 92, 035506 (2004), 2003 We formally extend the energy landscape approach for the thermodynamics of liquids to account for saddle points. By considering the extensive nature of macroscopic potential energies, we derive the scaling behavior of saddles with system size, as well as several approximations for the properties of low-order saddles (i.e., those with only a few ...
arxiv +1 more source
Saddle point method for transient processes in waveguides [PDF]
arXiv, 2021 A modification of the saddle point method is proposed for computation of non-stationary wave processes (pulses) in waveguides. The dispersion diagram of the waveguide is continued analytically. A set of possible saddle points on the dispersion diagram is introduced. A method of checking whether the particular saddle points contribute terms to the field
arxiv
Моделирование и анализ информационных систем, 2015 We consider a finite-dimensional model of phase oscillators with inertia in the case of star configuration of coupling. The system of equations is reduced to a nonlinearly coupled system of pendulum equations.
V. N. Belykh +2 more
doaj +1 more source
Convergence of Some Iterative Methods for Symmetric Saddle Point Linear Systems
SIAM Journal on Matrix Analysis and Applications, 2019 We consider the iterative solution of linear systems with a symmetric saddle point system matrix.
Y. Notay
semanticscholar +1 more source
Advanced Engineering Materials, EarlyView.Mechanical metamaterials capable of compressive stiffness tunability, shape morphing, and post‐fabrication modularity. Herein, the 3D unit cell design is based on an assembly of bistable von Mises trusses that exhibit a switch in compressive stiffness and resting height from one stable state to the other.
Yannis Liétard +2 more
wiley +1 more source
Stable Heteroclinic Channel-Based Movement Primitives: Tuning Trajectories Using Saddle Parameters
Applied SciencesDynamic systems which underlie controlled systems are expected to increase in complexity as robots, devices, and connected networks become more intelligent.
Natasha Rouse, Kathryn Daltorio
doaj +1 more source
Type-II Saddles and Probabilistic Stability of Stochastic Gradient Descent [PDF]
arXiv, 2023 Characterizing and understanding the dynamics of stochastic gradient descent (SGD) around saddle points remains an open problem. We first show that saddle points in neural networks can be divided into two types, among which the Type-II saddles are especially difficult to escape from because the gradient noise vanishes at the saddle. The dynamics of SGD
arxiv