scientific article

zbMath0472.49002MaRDI QIDQ3925436

Robert Hermann

Publication date: 1976

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

equations of motioncontinuum mechanicsHamilton-Jacobi theorycanonical transformationscharacteristic curvesinvariant integralscircuit theorycyclic coordinatesquantization conditionsWeierstrass conditionAbelian groups of Lagrangian symmetriesanalytical and quantum mechanicsCaratheodory approach to optimal control variational problemsfirst and second variation formulas for optimal control problemsoptimal-control distributed-parameter and field-theoretic variational problemoptimization and programming of functions on manifoldsPareto optimals and extremalsPontrjagin minimal principle

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Existence theories for optimal control problems involving ordinary differential equations (49J15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for problems involving ordinary differential equations (49K15) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Hamilton-Jacobi theories (49L99) Applications of variational problems to control theory (58E25) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

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