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On one nonlinear optimal control problem with fixed ends
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We consider nonlinear general problem of optimal control with fixed ends and apply two approaches for its solving: Pontryagin maximum principle and Galerkin method. We developed the new method of obtaining approximate solution for this problem and explored its basic properties.
Abstract
We consider nonlinear general problem of optimal control with fixed ends and apply two approaches for its solving: Pontryagin maximum principle and Galerkin method. We developed the new method of obtaining approximate solution for this problem and explored its basic properties.
참고문헌 (11)
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- L. S. Pontryagin, "Mathematical theory of optimal processes", pp.393~ (1983), Nauka
- F.P. Vasiliev, "Linear problems. -M.: Factorial", pp.176~ (1998)
- "Control of the linear multi-step systems in conditions of uncertainty", Far Eastern Mathematical Collection. Issue 4
- D.V. Dolgy, "Optimal control (nonlinear systems)", pp.53~
- R.P. Fedorenko, "Approximate solution of optimal control problems", pp.488~ (1978), Nauka
- O. Zienkiewicz, "Finite elements and approximation", pp.328~ (1983), John Wiley and Sons
- N.N. Moiseev, "Numerical methods in theory of optimal systems", pp.424~ (1971), Nauka
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관련 논문AI추천
Approximate solution of nonlinear optimal control problem with fixed ends권종겸, 김태균, Dmitry V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호Optimal control problems for semilinear evolution equations김진란, 노현희, 정진문대한수학회 · 대한수학회지2008 · 제45권 제3호Control of the systems subjected to amplitude perturbationsDmitriy V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제3호Jacobi discrete approximation for solving optimal control problemsMamdouh El-Kady대한수학회 · 대한수학회지2012 · 제49권 제1호Optimal conditions for endpoint constrained optimal control김경응대한수학회 · 대한수학회보2008 · 제45권 제3호Optimal control problems for the semilinear second order evolution equations박선혜, 박종열대한수학회 · 대한수학회지2003 · 제40권 제5호
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