Mutational equations for shapes and vision-based control

DOI10.1007/BF01250522zbMath0854.93099MaRDI QIDQ1898082

Luc Doyen

Publication date: 20 September 1995

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionviabilityshape derivativeset-valued analysisshape gradientrobotvision-based control

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Automated systems (robots, etc.) in control theory (93C85) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (11)

Differential equations for closed sets in a Banach space, survey and extension ⋮ Mutational equations in metrics spaces ⋮ A viability theorem for set-valued states in a Hilbert space ⋮ Filippov’s Theorem for mutational inclusions in a metric space ⋮ Hamilton-Jacobi inequalities on a metric space ⋮ Non-vector space approach for nanoscale motion control ⋮ Shape evolutions under state constraints: A viability theorem ⋮ Infinitesimal calculus in metric spaces ⋮ Generalizing mutational equations for uniqueness of some nonlocal first-order geometric evolutions ⋮ Filippov and invariance theorems for mutational inclusions of tubes ⋮ External ellipsoidal approximations for set evolution equations

Cites Work

• Unnamed Item
• 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
• Shape Sensitivity Analysis via Min Max Differentiability
• Inverse Function Theorems and Shape Optimization
• Viability theory

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