The Principle of Least Action and Fundamental Solutions of Mass-Spring and N-Body Two-Point Boundary Value Problems

DOI10.1137/130921908zbMath1325.49055OpenAlexW1468015989MaRDI QIDQ2945618

William M. McEneaney, Peter M. Dower

Publication date: 14 September 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/203e37d06607782dd6edbe43d919d28f5f211e6c

zbMATH Keywords

optimal controlRiccati equationsdifferential game\(N\)-body problemtwo-point boundary value problemsprinciple of least actionmass-spring problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Differential games and control (49N70) Nonlinear systems in control theory (93C10) Nonlinear higher-order PDEs (35G20) Existence theories for optimal control problems involving partial differential equations (49J20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) (n)-body problems (70F10) Variational principles of physics (49S05) Viscosity solutions to PDEs (35D40)

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