Local ISS of large-scale interconnections and estimates for stability regions

DOI10.1016/j.sysconle.2010.02.001zbMath1222.93206OpenAlexW1979651191MaRDI QIDQ984752

Sergey N. Dashkovskiy, Björn S. Rüffer

Publication date: 20 July 2010

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2010.02.001

zbMATH Keywords

Lyapunov functioninterconnected systemslocal input-to-state stabilitylarge-scale systemsmall-gain condition

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Input-output approaches in control theory (93D25) Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15)

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Cites Work

• Contributions to stability theory
• A Lyapunov--Krasovskii methodology for ISS and iISS of time-delay systems
• Comments on integral variants of ISS
• Asymptotic behavior of dynamical and control systems under perturbation and discretization
• Small-gain theorem for ISS systems and applications
• A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
• Constructive nonlinear control
• An ISS small gain theorem for general networks
• Interconnected Systems with Uncertain Couplings: Explicit Formulae formu-Values, Spectral Value Sets, and Stability Radii
• A Small-Gain Theorem for a Wide Class of Feedback Systems with Control Applications
• A characterization of integral input-to-state stability
• New characterizations of input-to-state stability
• Smooth stabilization implies coprime factorization
• State-Dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems
• Hybrid Systems: Computation and Control

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