On symplectic self-adjointness of Hamiltonian operator matrices

Symplectic self-adjointness of Hamiltonian operator matrices is studied, which is important to symplectic elasticity and optimal control. For the cases of diagonal domain and off-diagonal domain, necessary and sufficient conditions are shown. The proofs use Frobenius-Schur factorizations of unbounde...

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Veröffentlicht in:	Science China. Mathematics 2015-04, Vol.58 (4), p.821-828
Hauptverfasser:	Chen, Alatancang, Jin, GuoHai, Wu, DeYu
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematics Mathematics and Statistics 充分必要条件充分条件哈密顿因式分解对角线最优控制算子矩阵自伴性
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Zusammenfassung:	Symplectic self-adjointness of Hamiltonian operator matrices is studied, which is important to symplectic elasticity and optimal control. For the cases of diagonal domain and off-diagonal domain, necessary and sufficient conditions are shown. The proofs use Frobenius-Schur factorizations of unbounded operator matrices.Under additional assumptions, sufficient conditions based on perturbation method are obtained. The theory is applied to a problem in symplectic elasticity.
ISSN:	1674-7283 1869-1862
DOI:	10.1007/s11425-014-4876-1