Lyapunov inequalities and stability for linear Hamiltonian systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Tang, Xian-Hua²  Zhang, Meirong¹ 

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

关键词: Linear Hamiltonian system;    Lyapunov inequality;    Eigenvalue;    Stability;   

DOI  :  10.1016/j.jde.2011.08.002

来源: Elsevier

【 摘 要 】

In this paper, we will establish several Lyapunov inequalities for linear Hamiltonian systems, which unite and generalize the most known ones. For planar linear Hamiltonian systems, the connection between Lyapunov inequalities and estimates of eigenvalues of stationary Dirac operators will be given, and some optimal stability criterion will be proved. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free