In this paper,a spacecraft system is investigated.The system is formulated by partial differential equations with the initial and the boundary conditions.The spectral analysis and semigroup generation for the system a...In this paper,a spacecraft system is investigated.The system is formulated by partial differential equations with the initial and the boundary conditions.The spectral analysis and semigroup generation for the system are employed and discussed in the appropriate Hilbert spaces,and some exponential stability-type results are obtained.Finally,a significant optimal energy control is pro-posed,and existence and uniqueness of the optimal energy control are demon-strated.Eventually,an approximation theorem for minimum energy control is proved in terms of semigroup approach and geometric method.展开更多
文摘In this paper,a spacecraft system is investigated.The system is formulated by partial differential equations with the initial and the boundary conditions.The spectral analysis and semigroup generation for the system are employed and discussed in the appropriate Hilbert spaces,and some exponential stability-type results are obtained.Finally,a significant optimal energy control is pro-posed,and existence and uniqueness of the optimal energy control are demon-strated.Eventually,an approximation theorem for minimum energy control is proved in terms of semigroup approach and geometric method.
