Necessary conditions for a nonlinear control system

DOI10.1016/0022-0396(85)90157-3zbMath0642.49013OpenAlexW2139594913WikidataQ116201200 ScholiaQ116201200MaRDI QIDQ1101676

B. George

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90157-3

zbMATH Keywords

differential inclusiontangent conedirectional derivativefirst order necessary conditionsoutward normal

Mathematics Subject Classification ID

Controllability (93B05) Nonsmooth analysis (49J52) Nonlinear systems in control theory (93C10) Methods involving semicontinuity and convergence; relaxation (49J45) Ordinary differential inclusions (34A60) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (3)

New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Interior sphere property of attainable sets and time optimal control problems ⋮ Existence of solutions for implicit fuzzy differential inclusions

Cites Work

• Attainable sets and generalized geodesic spheres
• Uniqueness of optimal trajectories for non-linear control systems
• Control problems of contingent equation
• On some fundamental theorems of contingent equations in connection with the control problems
• On contingent equations satisfying the Carathéodory type conditions
• On Continuous and Measurable Selections and the Existence of Solutions of Generalized Differential Equations
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