Combined homotopy and neighboring extremal optimal control
From MaRDI portal
Publication:5280139
DOI10.1002/oca.2253zbMath1370.49028OpenAlexW2509831109MaRDI QIDQ5280139
Anthony M. Bloch, Rohit Gupta, Ilya V. Kolmanovsky
Publication date: 20 July 2017
Published in: Optimal Control Applications and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/oca.2253
Nonlinear systems in control theory (93C10) Variable mass, rockets (70P05) Control problems involving ordinary differential equations (34H05)
Related Items
Numerical simulations of a rolling ball robot actuated by internal point masses, Riemannian cubics close to geodesics at the boundaries
Cites Work
- Unnamed Item
- Geometric optimal control. Theory, methods and examples
- Homotopy method for finding extremals in optimal control problems
- The conjugate point condition for smooth control sets
- Conjugate point properties for linear quadratic problems
- Optimality, stability, and convergence in nonlinear control
- Optimal control and applications to aerospace: some results and challenges
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray
- On the conjugate point condition for the control problem
- Differential continuation for regular optimal control problems
- A convexity-based homotopy method for nonlinear optimization in model predictive control
- Numerical Algebraic Geometry for Optimal Control Applications
- Primer on Optimal Control Theory
- Survey of Numerical Methods for Trajectory Optimization
- Conjugate points and optimal control: counterexamples
- Generalized conjugate points for optimal control problems
- The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency
- Lipschitzian Stability for State Constrained Nonlinear Optimal Control
- Lipschitzian Stability in Nonlinear Control and Optimization
- Conjugate points and shocks in nonlinear optimal control
- Smooth Regularization of Bang-Bang Optimal Control Problems
- The numerical solution of the matrix Riccati differential equation
- New smoothing techniques for solving bang–bang optimal control problems—numerical results and statistical interpretation
