Stability theory for linear dissipative Hamiltonian systems

DOI10.1016/S0024-3795(02)00374-9zbMath1022.34040MaRDI QIDQ1855412

Shuh-Jye Chern

Publication date: 5 February 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitymechanical systems

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability problems in rigid body dynamics (70E50)

Related Items (1)

Asymptotical stability of the motion of mechanical systems with partial energy dissipation

Cites Work

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• Singularities and groups in bifurcation theory. Volume I
• A paradigm for joined Hamiltonian and dissipative systems
• Eigenvalues of a certain quadratic pencil of operators
• Some theorems on the inertia of general matrices
• A generalization of the inertia theorem for quadratic matrix polynomials
• Instability spectrum of an operator bundle
• Inertia theorems for matrices, controllability, and linear vibrations
• Dissipation induced instabilities
• The Euler-Poincaré equations and double bracket dissipation
• Stability of systems with nonlinear damping
• Some extensions and modifications of classical stability tests for polynomials
• Stability theory for dissipatively perturbed hamiltonian systems
• Stability of dissipative systems

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