Stability and Convergence of Mechanical Systems with Unilateral Constraints

• Corporate Author: SpringerLink (Online service)
• Other Authors: Leine, Remco I. (Editor), Wouw, Nathan van de (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Applied and Computational Mechanics, 36
• Subjects: Engineering.; Mechanics.; Statistical physics.; Dynamical systems.; Computational intelligence.; Mechanics, Applied.; Vibration.; Dynamics.; Mechanical engineering.; Mechanical Engineering.; Theoretical and Applied Mechanics.; Vibration, Dynamical Systems, Control.; Computational Intelligence.; Statistical Physics, Dynamical Systems and Complexity.

Stability of motion is a central theme in the dynamics of mechanical systems. While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, imp...

Table of Contents:

• Non-smooth Analysis
• Measure and Integration Theory
• Non-smooth Dynamical Systems
• Mechanical Systems with Set-valued Force Laws
• Lyapunov Stability Theory for Measure Differential Inclusions
• Stability Properties in Mechanical Systems
• Convergence Properties of Monotone Measure Differential Inclusions
• Concluding Remarks.