A small gain theorem for locally input to state stable interconnected systems

DOI10.1016/S0016-0032(99)00013-7zbMath0966.93100OpenAlexW1974894094WikidataQ127390940 ScholiaQ127390940MaRDI QIDQ5926830

Spyros G. Tzafestas, M. P. Tzamtzi

Publication date: 1 August 2001

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0016-0032(99)00013-7

zbMATH Keywords

nonlinear systeminput to state practical stabilityinput to state stability

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Adaptive or robust stabilization (93D21)

Related Items (3)

Output feedback stabilization for stochastic high-order nonlinear systems with SISS-like inverse dynamic ⋮ A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections ⋮ Dynamics of linear delayed systems with decaying disturbances

Cites Work

• On characterizations of the input-to-state stability property
• Small-gain theorem for ISS systems and applications
• A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
• Versions of Sontag’s “Input to State Stability Condition” and the Global Stabilizability Problem
• New characterizations of input-to-state stability
• Smooth stabilization implies coprime factorization
• Tools for Semiglobal Stabilization by Partial State and Output Feedback
• A Smooth Converse Lyapunov Theorem for Robust Stability
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