Calculus of Variations and Optimal Control Theory

Equation Notation Control theory Mathematical optimization Riccati equation Calculus of variations Maxima and minima Velocity Addition Quantity Continuous function Boundary value problem Convex Set Linear differential equation Optimal control Initial Condition Hamiltonian mechanics Linearity Eigenvalues and Eigenvectors Ordinary differential equation Theorem Parameter Derivative Function space Linear approximation Requirement Tangent Space Calculation Differential equation Maximum principle Partial differential equation Lipschitz continuity Computation Optimization problem Taylor series Adjoint Mean value theorem Inverse Function Theorem Integration by parts Adjoint equation Degrees of freedom (statistics) Differentiable function Division by zero Existential quantification Infimum and supremum Hyperplane Jacobian matrix and determinant First variation Matrix differential equation Linear function LTI system theory summation Inequality (mathematics) Sign convention Variable (mathematics) Measurable function Lagrange multiplier Partial derivative Linear combination Stationary point piecewise State Variable Subset Scientific notation Special case Tangent Vector Weierstrass Theorem