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Nonlinear small-gain theorems for input-to-state stability of infinite interconnections.

, , and . Math. Control. Signals Syst., 33 (4): 573-615 (2021)

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For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity., , , and . CoRR, (2024)Corrigendum: Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems., , , and . SIAM J. Control. Optim., 61 (3): 1910-1911 (June 2023)Stability of nonlinear infinite dimensional impulsive systems and their interconnections., and . CDC, page 2071-2076. IEEE, (2014)Forward Completeness Implies Bounded Reachable Sets for Time-Delay Systems on the State Space of Essentially Bounded Measurable Functions., , , and . IEEE Control. Syst. Lett., (2024)A note on input-to-state stability of linear and bilinear infinite-dimensional systems., and . CDC, page 495-500. IEEE, (2015)Small Gain Theorems for General Networks of Heterogeneous Infinite-Dimensional Systems.. SIAM J. Control. Optim., 59 (2): 1393-1419 (2021)Input-to-state stability of infinite-dimensional control systems (Eingang-Zustand-Stabilität der unendlichdimensionalen Kontrollsysteme). Bremen University, Germany, (2012)base-search.net (ftsubbremen:oai:media.suub.uni-bremen.de:Publications/elib/335).Construction of iISS Lyapunov functions for interconnected parabolic systems., and . ECC, page 37-42. IEEE, (2015)Existence of non-coercive Lyapunov functions is equivalent to integral uniform global asymptotic stability., and . Math. Control. Signals Syst., 31 (2): 4:1-4:26 (2019)Optimal allocation strategies and optimal seed mass of a perennial plant. CoRR, (2011)