Results 241 to 250 of about 2,690,490 (287)

Almost exponential stability and exponential stability of resolvent operator families

Semigroup Forum, 2016
A new concept of almost exponential stability of the resolvent operator family \(\{ R(t), \, t\geq 0 \},\) \[ R(t) x = x+ \int_0^t a(t-\tau) A R(\tau) x\,d\tau, \, x\in {\mathcal D}(A),\quad A: {\mathcal D}(A ) \subseteq X\rightarrow X \] is constructed.
Fan, Zhenbin, Dong, Qixiang, Li, Gang
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Stability of binary exponential backoff

Journal of the ACM, 1988
Binary exponential backoff is a randomized protocol for regulating transmissions on a multiple-access broadcast channel. Ethernet, a local-area network, is built upon this protocol. The fundamental theoretical issue is stability: Does the backlog of packets awaiting transmission remain bounded in time, provided the rates of new packet arrivals are ...
Jonathan Goodman, Albert G. Greenberg, Neal Madras, Peter March   +3 more
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Exponential growth bound and exponential stability

1998
In Section 5.1, we characterize the exponential growth bound of the propagators of (ACP n ) in a Hilbert space in terms of the behavior of on vertical lines in a half complex plane. As a consequence we show that the propagators are exponentially stable if P λ is boundedly invertible in {λ ∈ C; Reλ ≥ 0} with uniformly bounded there.
Ti-Jun Xiao, Jin Liang
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On the Exponential Stability of Discrete Semigroups

Qualitative Theory of Dynamical Systems, 2014
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Zada, Akbar, Ahmad, Nisar, Khan, Ihsan Ullah, Khan, Faiz Muhammad   +3 more
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Exponential stabilization of the rolling sphere

Automatica, 2004
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Tuhin Das, Ranjan Mukherjee
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Exponential stabilization of the rolling sphere: stability analysis

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
In an earlier paper, we addressed the problem of stabilization of the rolling sphere about any desired configuration. For the controller proposed, we establish in this paper global stability of the desired configuration and exponential convergence of trajectories to this configuration from a large and well defined set in the configuration space.
Tuhin Das, Ranjan Mukherjee
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Exponential Stability by the Linear Approximation

Differential Equations, 2001
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ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY

Mathematical Models and Methods in Applied Sciences, 2006
This paper establishes results concerning the exponential decay of strong solutions of a linear hyperbolic integrodifferential equation in Hilbert space. Rather than the more commonly used assumptions that the relaxation function is non-negative, decreasing and convex, dissipation is modelled by requiring that the dynamic viscosity be a positive ...
J. Appleby, FABRIZIO, MAURO, LAZZARI, BARBARA, D. Reynolds   +3 more
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On the exponential stability of discrete volterra systems

Journal of Difference Equations and Applications, 2000
In this paper necessary and sufficient conditions for the exponential stability of discrete linear Volterra systems are proved.
CRISCI M. R., KOLMANOVSKII V. B., RUSSO, ELVIRA, VECCHIO A.   +3 more
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Exponential Stability of a Network of Beams

Journal of Dynamical and Control Systems, 2014
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