General formulation for the numerical solution of optimal control problems
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Publication:4728907
DOI10.1080/00207178908953385zbMath0679.49031OpenAlexW2073673958MaRDI QIDQ4728907
Publication date: 1989
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207178908953385
Orthogonal polynomialstime-varying systemquadratic performancetime-invariant systemcanonical equationsLagrange multiplier techniquevariational virtual work approach
Numerical methods involving duality (49M29) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Existence theories for optimal control problems involving ordinary differential equations (49J15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Chebyshev series approach to system identification, analysis and optimal control
- Shifted-Jacobi series analysis of linear optimal control systems incorporating observers
- Application of Chebyshev polynomials to the optimal control of time-varying linear systems
- Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials
- Application of shifted Chebyshev series to the optimal control of linear distributed-parameter systems
- Hermite series approach to optimal control
- Analysis and optimal control of time-varying linear systems via block-pulse functions
- Walsh series analysis in optimal control
- Optimal control via collocation and non-linear programming
- Analysis and optimal control of time-varying linear systems via Walsh functions
- Use of orthogonal collocation method in optimal control problems
- Fourier series analysis of linear optimal control systems incorporating observers
- Block-pulse series analysis of linear systems incorporating observers
- Weighted residual methods and the suboptimal control of distributed parameter systems†