Meagre functions and asymptotic behaviour of dynamical systems

DOI10.1016/S0362-546X(99)00323-5zbMath1185.34079OpenAlexW2143474485MaRDI QIDQ5940177

E. P. Ryan, Hartmut Logemann, Wolfgang Desch, Eduardo D. Sontag

Publication date: 29 July 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00323-5

zbMATH Keywords

Asymptotic behaviour of local semiflowscharacterizations of exponential stability for linear semigroupsnon-autonomous ordinary differential equations and differential inclusionsnon-autonomous semilinear infinite-dimensional systemssemiflows and asymptotic stability of compacta

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) Dynamics induced by flows and semiflows (37C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Nonautonomous systems: Asymptotic behaviour and weak invariance principles. ⋮ On zero-input stability inheritance for time-varying systems with decaying-to-zero input power ⋮ Stability and Asymptotic Behaviour of Nonlinear Systems: An Introduction ⋮ On finite/fixed-time stability analysis based on sup- and sub-homogeneous extensions ⋮ Further results on the bellman equation for optimal control problems with exit times and nonnegative lagrangians ⋮ Passivity gains and the ``secant condition for stability ⋮ Using a quadrotor as wind sensor: time-varying parameter estimation algorithms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• On uniform N-equistability
• Weak \(L^ p\)-stability of a linear semigroup on a Hilbert space implies exponential stability
• Comments on integral variants of ISS
• Dynamical systems and evolution equations. Theory and applications
• Properties of infinite dimensional Hamiltonian systems
• On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Continuity properties of nonlinear semigroups
• Delay equations. Functional-, complex-, and nonlinear analysis
• The asymptotic behaviour of semigroups of linear operators
• Extending a theorem of A. M. Liapunov to Hilbert space
• Equivalence of Lp stability and exponential stability for a class of nonlinear semigroups
• Stability and Stabilizability of Infinite-Dimensional Systems
• Admissibility of Unbounded Control Operators
• An Integral Invariance Principle for Differential Inclusions with Applications in Adaptive Control
• An integral-invariance principle for nonlinear systems
• A Smooth Converse Lyapunov Theorem for Robust Stability
• Liapunov Functions and L p Solutions of Differential Equations
• On Certain Questions in the Theory of Optimal Control

This page was built for publication: Meagre functions and asymptotic behaviour of dynamical systems