A nonlinear small-gain theorem for large-scale infinite-dimensional systems

DOI10.1007/s11424-018-7376-5zbMath1390.93104OpenAlexW2793118527WikidataQ130195191 ScholiaQ130195191MaRDI QIDQ1747010

Adiya Bao, Tengfei Liu, Zhong-Ping Jiang, Li-Na Zhang

Publication date: 26 April 2018

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-018-7376-5

zbMATH Keywords

infinite-dimensional systemsinput-to-state stability (ISS)small-gain theoreminput-to-output stability (IOS)

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15)

Related Items (6)

Finite-dimensional output stabilization for a class of linear distributed parameter systems -- a small-gain approach ⋮ Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions ⋮ Preface -- special issue on new directions in nonlinear and distributed control ⋮ Stability conditions for infinite networks of nonlinear systems and their application for stabilization ⋮ Nonlinear small-gain theorems for input-to-state stability of infinite interconnections ⋮ Small Gain Theorems for General Networks of Heterogeneous Infinite-Dimensional Systems

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