Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators

DOI10.1016/j.jmaa.2017.04.059zbMath1377.34079OpenAlexW2608804199MaRDI QIDQ2408624

Abderrahim Hantoute, Bao Tran Nguyen, Samir Adly

Publication date: 12 October 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/232481

zbMATH Keywords

stabilityinvariant setdifferential inclusionmaximal monotone operatorLyapunov pair

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Evolution inclusions (34G25) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators ⋮ Invariant closed sets with respect to differential inclusions with time-dependent maximal monotone operators ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Lyapunov stability of differential inclusions involving prox-regular sets via maximal monotone operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonsmooth mechanics. Models, dynamics and control
• Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain
• Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions
• Nonsmooth modeling and simulation for switched circuits.
• A stability theory for second-order nonsmooth dynamical systems with application to friction problems.
• The Lyapunov method for semigroups of nonlinear contractions in Banach spaces
• Lyapunov functions for infinite-dimensional systems
• Invariant sets forced by symmetry
• Qualitative properties of trajectories of control systems: a survey
• Approximate invariance and differential inclusions in Hilbert spaces
• Characterization of Lyapunov pairs in the nonlinear case and applications
• Variational Analysis
• Local differentiability of distance functions
• A measurable upper semicontinuous viability theorem for tubes
• Exact solutions for a nonlinear model of dissipative media
• Set-valued analysis
• Viability theory

This page was built for publication: Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators