Second-order optimality principle for singular optimal control problems

DOI10.1007/BF00939378zbMath0596.49016OpenAlexW2046059446MaRDI QIDQ5903180

S. J. G. Gift

Publication date: 1993

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939378

zbMATH Keywords

necessary conditionTaylor series expansionperformance indexsingular optimal control

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Control/observation systems governed by ordinary differential equations (93C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Optimality conditions for problems involving ordinary differential equations (49K15) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Cites Work

• Necessary conditions for optimality of singular controls
• The High Order Maximal Principle and Its Application to Singular Extremals
• High Order Necessary Conditions for Optimality

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