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Stability of systems with the Duhem hysteresis operator: The dissipativity approach

โœ Scribed by Bayu Jayawardhana; Ruiyue Ouyang; Vincent Andrieu


Book ID
118426028
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
339 KB
Volume
48
Category
Article
ISSN
0005-1098

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Operator differential equation approach
โœ Minhaeng Cho ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 537 KB

We consider a two-state system linearly coupled to a collection of harmonic oscillators, the spin-boson Hamiltonian. Expanding the density matrix in terms of Pauli spin matrices, a set of coupled operator differential equations of motion is obtained by solving the Heisenberg equation. Using the cumu