Lyapunov pairs for continuous perturbations of nonlinear evolutions

DOI10.1016/j.na.2008.11.022zbMath1173.37009OpenAlexW2047337165MaRDI QIDQ1026062

Ovidiu Cârjǎ, Alina I. Lazu

Publication date: 24 June 2009

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.2008.11.022

zbMATH Keywords

contingent derivativeviability\(m\)-dissipative operatorLyapunov pair

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Lyapunov and storage functions (93D30) Control/observation systems in abstract spaces (93C25) Nonlinear evolution equations (47J35)

Related Items (3)

Nonlinear evolution inclusions with one-sided Perron right-hand side ⋮ Lyapunov pairs for multi-valued semi-linear evolutions ⋮ Lyapunov pairs in semilinear differential problems with state-dependent impulses

Cites Work

• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• The Lyapunov method for semigroups of nonlinear contractions in Banach spaces
• Lyapunov functions for infinite-dimensional systems
• Characterization of Lyapunov pairs in the nonlinear case and applications
• On the Bellman function for the time-optimal process problem
• Multivalued differential equations on graphs
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