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ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
Mathematical Models and Methods in Applied Sciences, 2006This 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 +3 more
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On Uniform Exponential Stability of Exponentially Bounded Evolution Families
Integral Equations and Operator Theory, 2008A result of Barbashin ([1], [15]) states that an exponentially bounded evolution family $$\{U(t, s)\}_{t \geq s \geq 0}$$ defined on a Banach space and satisfying some measurability conditions is uniformly exponentially stable if and only if for some 1 ≤ p 0$$
Buşe, Constantin +3 more
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Exponential Stability via the Averaged System
Journal of Dynamical and Control Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonuniform exponential stability and admissibility
Linear and Multilinear Algebra, 2015For cocycles defined by sequences of linear operators in a Banach space, we study the relation between the notions of nonuniform exponential stability and admissibility. The latter refers to the existence of bounded solutions for any bounded nonlinear perturbation of the original cocycle.
Luis Barreira, Claudia Valls
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Exponential Stability by the Linear Approximation
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponentially harmonic maps, exponential stress energy and stability
Communications in Contemporary Mathematics, 2016We study the exponential stress energy associated to an exponentially harmonic map between Riemannian manifolds. We prove three equivalent statements for a horizontally weakly conformal exponentially harmonic map between Riemannian manifolds. We also investigate the stability of exponentially harmonic maps.
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Stability and exponential stability in linear viscoelasticity
Milan Journal of Mathematics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cooperative MPC with Guaranteed Exponential Stability
2013In this chapter, a cooperative distributed MPC is presented. The main features of this control strategy are: constraints satisfaction; cooperation between agents to achieve an agreement; closed-loop stability that is always ensured, even in the case of just one iteration; achieved control actions that are plantwide Pareto optimal and equivalent to the ...
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Stability of exponentially harmonic maps
Journal of Topology and Analysis, 2019We show that any stable exponentially harmonic map from a compact Riemannian manifold into a compact simply-connected [Formula: see text]-pinched Riemannian manifold under certain circumstance is constant in two different versions. We also prove that a non-constant exponentially harmonic map from a compact hypersurface into a compact Riemannian ...
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Exponential stability of interconnected systems
IEEE Transactions on Automatic Control, 1970Sufficient conditions are given for exponential stability in the large of the equilibrium of systems of interconnected components taken from a class of nonlinear time-varying multi-terminal components.
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