A combination of small-gain and density propagation inequalities for stability analysis of networked systems

2015/08/25 by Shiromoto, Humberto Stein, Feketa, Petro, Dashkovskiy, Sergey
#34D20 #47H07 #93A15 #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.1508.06018

Abstract

In this paper, the problem of stability analysis of a large-scale interconnection of nonlinear systems for which the small-gain condition does not hold globally is considered. A combination of the small-gain and density propagation inequalities is employed to prove almost input-to-state stability of the network.

Related

• Nonlinear small-gain theorems for input-to-state stability of infinite\n interconnections
• A relaxed small-gain theorem for infinite networks
• Almost ISS property for feedback connected systems
• Small gain theorems for general networks of heterogeneous\n infinite-dimensional systems
• Example Demonstrating the Application of Small-gain and Density Propagation Conditions for Interconnections