Evolutions of tubes under operability constraints

DOI10.1006/JMAA.1997.5476zbMath1008.49004OpenAlexW2065281967MaRDI QIDQ1378681

Anne Gorre

Publication date: 31 October 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5476

zbMATH Keywords

differential inclusionsinvarianceconstraintsviabilitymutational equationsoperability propertypropagation of sets

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) Control problems involving ordinary differential equations (34H05)

Related Items (10)

Differential equations for closed sets in a Banach space, survey and extension ⋮ Equations with delay in metric spaces: the mutational approach ⋮ A viability theorem for set-valued states in a Hilbert space ⋮ Invariance of sets under mutational inclusions on metric spaces ⋮ Filippov’s Theorem for mutational inclusions in a metric space ⋮ Shape evolutions under state constraints: A viability theorem ⋮ Modelling multi-cellular growth using morphological analysis ⋮ Generalizing mutational equations for uniqueness of some nonlocal first-order geometric evolutions ⋮ Paratingent derivative applied to the measure of the sensitivity in multiobjective differential programming ⋮ External ellipsoidal approximations for set evolution equations

Cites Work

• Filippov and invariance theorems for mutational inclusions of tubes
• Shape Lyapunov functions and stabilization of reachable tubes of control problems
• Mutational equations in metrics spaces
• Inverse Function Theorems and Shape Optimization
• Set-valued analysis
• Viability theory
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