Finite-time and fixed-time input-to-state stability: explicit and implicit approaches

DOI10.1016/J.SYSCONLE.2020.104775zbMath1470.93138OpenAlexW3082661029MaRDI QIDQ826761

Andrey Polyakov, Wilfrid Perruquetti, Francisco Lopez-Ramirez, Denis V. Efimov

Publication date: 6 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2020.104775

zbMATH Keywords

input-to-state stabilityfinite-time stabilityfixed-time stability

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Finite-time stability (93D40)

Related Items (10)

Remarks on input to state stability of perturbed gradient flows, motivated by model-free feedback control learning ⋮ Sufficient conditions on finite-time input-to-state stability of nonlinear impulsive systems: a relaxed Lyapunov function method ⋮ Fixed-time stabilization of parabolic distributed parameter systems with spatially and temporally varying reactivity ⋮ Fixed-time and prescribed-time synchronization of quaternion-valued neural networks: a control strategy involving Lyapunov functions ⋮ Finite-time input-to-state stability of switched stochastic time-varying nonlinear systems with time delays ⋮ Fixed-time event-triggered control under denial-of-service attacks ⋮ Design of finite-/fixed-time ISS-Lyapunov functions for mechanical systems ⋮ Finite-Time Stabilization of Nonlinear Uncertain MIMO Systems ⋮ On Converse Lyapunov Theorem for Fixed-Time Input-to-State Stability ⋮ Finite-time input-to-state stability of nonlinear impulsive systems

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