6 papers · 1 filter
The -Symmetric SRG with Applications to Stability of Cactus Dynamic Networks
Xiaokan Yang, Wei Chen, Li Qiu
In this paper, we systematically study a variant of the scaled relative graph (SRG), referred to as the -symmetric SRG, and apply it to the stability analysis of cactus networks…
A Cascade of Systems and the Product of Their -Symmetric Scaled Relative Graphs
Xiaokan Yang, Ding Zhang, Wei Chen +1
In this paper, we utilize a variant of the scaled relative graph (SRG), referred to as the -symmetric SRG, to develop a graphical stability criterion for the feedback interconn…
Diversity and Interaction Quality of a Heterogeneous Multi-Agent System Applied to a Synchronization Problem
Xin Mao, Dan Wang, Wei Chen +1
In this paper, scalable controller design to achieve output synchronization for a heterogeneous discrete-time nonlinear multi-agent system is considered. The agents are assumed to…
The Small Phase Condition is Necessary for Symmetric Systems
Xiaokan Yang, Wei Chen, Li Qiu
In this paper, we show that the small phase condition is both sufficient and necessary to ensure the feedback stability when the interconnected systems are symmetric. Such symmetri…
The Singular Angle of Nonlinear Systems
Chao Chen, Di Zhao, Sei Zhen Khong
In this paper, we introduce an angle notion called the singular angle for nonlinear systems from an input-output perspective. The proposed system singular angle, based on the angle…
A Cyclic Small Phase Theorem
Chao Chen, Wei Chen, Di Zhao +2
This paper introduces a brand-new phase definition called the segmental phase for multi-input multi-output linear time-invariant systems. The underpinning of the definition lies in…