Continuous and discrete characterizations for the uniform exponential stability of linear skew-evolution semiflows

DOI10.1016/j.na.2010.01.046zbMath1192.93094OpenAlexW1988171106MaRDI QIDQ972390

Pham Viet Hai

Publication date: 25 May 2010

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/j.na.2010.01.046

zbMATH Keywords

exponential stabilityfunction spaceslinear skew-evolution semiflows

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) One-parameter semigroups and linear evolution equations (47D06) Control/observation systems in abstract spaces (93C25) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Splitting with different growth rates for linear discrete-time skew-evolution semiflows in Banach spaces ⋮ Approaching the discrete dynamical systems by means of skew-evolution semiflows ⋮ A general framework for splitting concepts for cocycles over generalized nonautonomous dynamical systems ⋮ Polynomial stability and polynomial instability for skew-evolution semiflows ⋮ On the polynomial stability of evolution families ⋮ Discrete and continuous versions of Barbashin-type theorem of linear skew-evolution semiflows ⋮ Barbashin type characterizations for the uniform polynomial stability and instability of evolution families

Cites Work

• On uniform exponential stability of linear skew-product semiflows in Banach spaces
• Exponential stability for linear skew-product flows
• Semigroups of linear operators and applications to partial differential equations
• On uniform N-equistability
• Banach lattices
• The asymptotic behaviour of semigroups of linear operators
• Extending a theorem of A. M. Liapunov to Hilbert space
• Exponential stability and exponential instability for linear skew-product flows
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
• Remarks on the Control of Discrete-Time Distributed Parameter Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Continuous and discrete characterizations for the uniform exponential stability of linear skew-evolution semiflows