Boundary layer methods for certain nonlinear singularity perturbed optimal control problems
From MaRDI portal
Publication:2264971
DOI10.1016/0022-247X(74)90086-9zbMath0273.49017MaRDI QIDQ2264971
Publication date: 1974
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Control problems involving ordinary differential equations (34H05) Optimality conditions for problems involving ordinary differential equations (49K15) Hamilton-Jacobi theories (49L99)
Related Items (7)
Singular perturbations in optimal control problems ⋮ Step-like contrast structure for class of nonlinear singularly perturbed optimal control problem ⋮ Steering control of singularly perturbed systems: A composite control approach ⋮ Asymptotic solution of a singularly perturbed optimal problem with integral constraint ⋮ Singular perturbations and order reduction in control theory - an overview ⋮ Use of a nonlinear clock in the perturbation analysis of time optimal control problems ⋮ Perturbation analysis of an optimal control problem involving bang-bang controls
Cites Work
- Asymptotic series solution of singularly perturbed optimal control problems
- Singular perturbations of a boundary value problem for a system of nonlinear differential equations
- On ininital value problems for nonlinear systems of differential equations with two small parameters
- Singular perturbation of the time-invariant linear state regulator problem
- ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
- Properties of solutions of ordinary differential equations with small parameters
- The Singularly Perturbed Linear State Regulator Problem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Boundary layer methods for certain nonlinear singularity perturbed optimal control problems
