Discussion on: ``On a small gain theorem for ISS networks in dissipative Lyapunov form

DOI10.1016/S0947-3580(11)70601-XzbMath1244.93151MaRDI QIDQ647190

Björn S. Rüffer

Publication date: 1 December 2011

Published in: European Journal of Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25)

Cites Work

• Unnamed Item
• Connection between cooperative positive systems and integral input-to-state stability of large-scale systems
• Monotone inequalities, dynamical systems, and paths in the positive orthant of Euclidean \(n\)-space
• Small-gain theorem for ISS systems and applications
• Concave Perron-Frobenius theory and applications.
• A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
• An ISS small gain theorem for general networks
• Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
• The Perron-Frobenius theorem for homogeneous, monotone functions
• State-Dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems
• A Small-Gain Condition for Interconnections of ISS Systems With Mixed ISS Characterizations

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