State-control spectral Chebyshev parameterization for linearly constrained quadratic optimal control problems
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Publication:678808
DOI10.1016/S0377-0427(96)00134-3zbMath0871.65054MaRDI QIDQ678808
Publication date: 9 October 1997
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
quadratic programmingcell averaging methodlinearly constrained quadratic optimal controlstate-control spectral Chebyshev parametrization
Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Optimality conditions for problems involving ordinary differential equations (49K15)
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Cites Work
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- Variational methods in problems of control and programming
- A Chebyshev polynomial method for optimal control with state constraints
- Cell averaging Chebyshev methods for hyperbolic problems
- Application of multiple shooting to the numerical solution of optimal control problems with bounded state variables
- Suboptimal control of nonlinear systems
- A Legendre technique for solving time-varying linear quadratic optimal control problems
- A suboptimal control algorithm for constrained problems using cubic splines
- The equivalence of some necessary conditions for optimal control in problems with bounded state variables
- Optimal control in bounded phase space
- A generalized gradient method for optimal control problems with inequality constraints and singular arcs
- Mean Convergence of Lagrange Interpolation. III
- A Chebyshev technique for solving nonlinear optimal control problems
- Linear Quadratic Optimal Control Via Fourier-Based State Parameterization
- Application of mathematical programming in the design of optimal control systems†
- Computation of optimal controls using a piecewise polynomial parameterization
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