11 citations · 42 across the 41 of their papers we have counts for
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A criterion of simultaneously symmetrization and spectral finiteness for a finite set of real 2-by-2 matrices
Xiongping Dai
In this paper, we consider the simultaneously symmetrization and spectral finiteness for a finite set of real 2-by-2 matrices.
Stability of time-varying nonlinear switching systems under perturbations
Xiongping Dai, Yu Huang, Mingqing Xiao
Using a Liao-type exponent, we study the stability of a time-varying nonlinear switching system.
Stability Criteria via Common Non-strict Lyapunov Matrix for Discrete-time Linear Switched Systems
Xiongping Dai, Yu Huang, Mingqing Xiao
In this paper, we consider the stability of discrete-time linear switched systems with a common non-strict Lyapunov matrix.
Pointwise Stabilization of Discrete-time Stationary Matrix-valued Markovian Chains
Xiongping Dai, Yu Huang, Mingqing Xiao
We study the pointwise stabilizability of a discrete-time, time-homogeneous, and stationary Markovian jump linear system. By using measure theory, ergodic theory and a splitting th…
A Gel'fand-type spectral radius formula and stability of linear constrained switching systems
Xiongping Dai
Using ergodic theory, in this paper we present a Gel'fand-type spectral radius formula which states that the joint spectral radius is equal to the generalized spectral radius for a…
Extremal ergodic measures and the finiteness property of matrix semigroups
Xiongping Dai, Yu Huang, Mingqing Xiao
Let $\bS=\{S_1,...,S_K\}$ be a finite set of complex matrices and the compact space of all one-sided infinite sequences $i_{\bcdot}\colon\mathbb{N}\ri…