Interval stability of time‐varying two‐dimensional hierarchical discrete‐time multi‐agent systems
Wenjun Xiong, Tasawar Hayat, Jinde Cao · IET Control Theory and Applications · 2014
This study investigates the stability of time‐varying two‐dimensional hierarchical discrete‐time multi‐agent systems. The first objective is to design mathematical models to present the hierarchical and time‐varying structure of two‐dimensional multi‐agent systems. Based on the hierarchical structure, the interval stability of time‐invariant multi‐agent systems can be obtained to guarantee the stability analysis of time‐varying multi‐agent systems. Then, a simple condition is given to achieve the stability of time‐invariant systems. Finally, simulation results are given to illustrate the usefulness of the developed criteria.