1 citations · 3 across the 6 of their papers we have counts for
7 papers
PDE-Based Optimization for Advection Diffusion Equation in 2D Domain
Yunfei Song
In this paper, we propose a PDE-based optimization motivated by the problem of microfluidic heat transfer to finding the optimal incompressible velocity fields in 2D domain. To sol…
Positive Invariance Condition for Continuous Dynamical Systems Based on Nagumo Theorem
Yunfei Song
In this paper, we obtain sufficient and necessary conditions of some classical convex sets as positively invariant sets for a continuous dynamical system, namely positive invarianc…
Construction of Lorenz Cone with Invariant Cone Using Dikin Ellipsoid for Dynamical Systems
Yunfei Song
In this paper, some special Lorenz cones are constructed using Dikin ellipsoid and some hyperplane. We also study the structure of the constructed cones, especially the eigenvalues…
Invariance Conditions for Nonlinear Dynamical Systems
Zoltán Horváth, Yunfei Song, Tamás Terlaky
Recently, Horváth, Song, and Terlaky [\emph{A novel unified approach to invariance condition of dynamical system, submitted to Applied Mathematics and Computation}] proposed a nove…
Invariance Preserving Discretization Methods of Dynamical Systems
Zoltán Horváth, Yunfei Song, Tamás Terlaky
In this paper, we consider local and uniform invariance preserving steplength thresholds on a set when a discretization method is applied to a linear or nonlinear dynamical system.…
Steplength Thresholds for Invariance Preserving of Discretization Methods of Dynamical Systems on a Polyhedron
Zoltán Horváth, Yunfei Song, and Tamás Terlaky
Steplength thresholds for invariance preserving of three types of discretization methods on a polyhedron are considered. For Taylor approximation type discretization methods we pro…
A Novel Unified Approach to Invariance for a Dynamical System
Zoltán Horváth, Yunfei Song, Tamás Terlaky
In this paper, we propose a novel, unified, general approach to investigate sufficient and necessary conditions under which four types of convex sets, polyhedra, polyhedral cones,…