Damped Oscillations of Linear Systems A Mathematical Introduction /

• Κύριος συγγραφέας: Veselić, Krešimir (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Lecture Notes in Mathematics, 2023
• Θέματα: Mathematics.; Applied mathematics.; Engineering mathematics.; System theory.; Mathematical physics.; Applications of Mathematics.; Systems Theory, Control.; Mathematical Applications in the Physical Sciences.

The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it...

Πίνακας περιεχομένων:

• 1 The model
• 2 Simultaneous diagonalisation (Modal damping)
• 3 Phase space
• 4 The singular mass case
• 5 "Indefinite metric"
• 6 Matrices and indefinite scalar products
• 7 Oblique projections
• 8 J-orthogonal projections
• 9 Spectral properties and reduction of J-Hermitian matrices
• 10 Definite spectra
• 11 General Hermitian matrix pairs
• 12 Spectral decomposition of a general J-Hermitian matrix
• 13 The matrix exponential
• 14 The quadratic eigenvalue problem
• 15 Simple eigenvalue inclusions
• 16 Spectral shift
• 17 Resonances and resolvents
• 18 Well-posedness
• 19 Modal approximation
• 20 Modal approximation and overdampedness
• 21 Passive control
• 22 Perturbing matrix exponential
• 23 Notes and remarks.