34 citations · 93 across the 13 of their papers we have counts for
4 papers · 1 filter
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,…