A Variational Approach to Nonsmooth Dynamics Applications in Unilateral Mechanics and Electronics /

• Κύριος συγγραφέας: Adly, Samir (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; System theory.; Calculus of variations.; Vibration.; Dynamical systems.; Dynamics.; Control engineering.; Calculus of Variations and Optimal Control; Optimization.; Systems Theory, Control.; Control.; Vibration, Dynamical Systems, Control.; Applications of Graph Theory and Complex Networks.

This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process. The field of nonsmooth dyna...

Πίνακας περιεχομένων:

• 1 Mathematical Background
• 2 Nonsmooth Dynamics: An Overview
• 3 Stability Analysis of First-order Nonsmooth Dynamics
• 4 Stability Analysis of Second-order Nonsmooth Dynamics
• 5 Nonsmooth Lur’e Dynamical Systems
•  6 Moreau’s Sweeping Processes
• Historical vignettes
• References
• Index.