Lyapunov inequalities and stability for linear Hamiltonian systems

By X. Tang, Meirong Zhang. 2012

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Abstract 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.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a1dd96c5243b5e3edbded08d2c8bcd69131de580