On the residual motion in damped vibrating systems
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TLDR
In this article, linear vibrating systems with symmetric positive definite matrices and damping matrices are studied, in which the inertia and stiffness matrix are symmetric and the damping matrix is symmetric====== positive semi-definite, respectively.Abstract:
In this paper, linear vibrating systems, in which the inertia and stiffness
matrices are symmetric positive definite and the damping matrix is symmetric
positive semi-definite, are studied. Such a system may possess undamped
modes, in which case the system is said to have residual motion. Several
formulae for the number of independent undamped modes, associated with purely
imaginary eigenvalues of the system, are derived. The main results formulated
for symmetric systems are then generalized to asymmetric and symmetrizable
systems. Several examples are used to illustrate the validity and application
of the present results.read more
Citations
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Recent results on stability and response bounds of linear systems - a review.
Christian Pommer,Wolfhard Kliem +1 more
TL;DR: The literature on linear systems emerging from second order differential equations is extensive because such systems are ubiquitous in modeling, particularly modeling of mechanical systems as mentioned in this paper. But this paper is not a comprehensive overview of the recent research in this field.
Dissertation
Dinamika i stabilnost hibridnih dinamičkih sistema
TL;DR: In this paper, the analytical results of hybrid systems with nonlinearities of third order are presented. And the structural stability is investigated by applying the Lyapunov's method and for stationary regimes stability by linearization.
References
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Book
Stability of Time-Delay Systems
TL;DR: Preface, Notations 1.Introduction to Time-Delay Systems I.Robust Stability Analysis II.Input-output stability A.LMI and Quadratic Integral Inequalities Bibliography Index
Journal ArticleDOI
Thermodynamic analysis of the permeability of biological membranes to non-electrolytes
Ora Kedem,Aharon Katchalsky +1 more
TL;DR: The equations derived here have been applied to various permeability measurements found in the literature, such as the penetration of heavy water into animal cells, permeability of blood vessels, threshold concentration of plasmolysis and relaxation experiments with artificial membranes.
Journal ArticleDOI
An improved stabilization method for linear time-delay systems
Emilia Fridman,Uri Shaked +1 more
TL;DR: A delay-dependent criterion for determining the stability of systems with time-varying delays is obtained and this criterion is used to derive an efficient stabilizing state-feedback design method for systems with parameter uncertainty, of either the polytopic or the norm-bounded types.
Journal ArticleDOI
Delay-dependent stability and H ∞ control: Constant and time-varying delays
Emilia Fridman,Uri Shaked +1 more
TL;DR: In this paper, a descriptor model transformation has been introduced for delay-dependent H ∞ control with time-varying delays and linear matrix inequalities have been obtained for the case of time-changing delays.
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