Exact slow-fast decomposition of a class of non-linear singularly perturbed optimal control problems via invariant manifolds

Keyphrases

• Optimal Control Problem 100%
• Singularly Perturbed 100%
• Invariant Manifolds 100%
• Slow-fast Decomposition 100%
• Hamiltonian Systems 66%
• Order Reduction 66%
• Slow Component 33%
• Small Parameter 33%
• Fast Component 33%
• Asymptotic Expansion 33%
• Riccati Equation 33%
• Optimal State Feedback 33%
• Optimal Trajectory 33%
• Hamilton-Jacobi Partial Differential Equation 33%
• Jacobi Equation 33%
• Affine Nonlinear 33%
• Open-loop Control 33%
• Nonlinear Singularly Perturbed System 33%

Mathematics

• Nonlinear 100%
• Optimal Control Problem 100%
• Invariant Manifold 100%
• Hamiltonian Systems 66%
• Sufficient Condition 33%
• Partial Differential Equation 33%
• Hamiltonian 33%
• Asymptotic Expansion 33%
• Submanifold 33%
• Solvability 33%
• Riccati Equation 33%
• Optimal Trajectory 33%
• Jacobi Equation 33%