7 papers
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…
Gain and phase type multipliers for feedback robustness
Axel Ringh, Xin Mao, Wei Chen +2
It is known that the stability of a feedback interconnection of two linear time-invariant systems implies that the graphs of the open-loop systems are quadratically separated. This…
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…