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δ-persistency of excitation: a necessary and sufficient condition for uniform attractivity
Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003In previous papers we have introduced a sufficient condition for uniform attractivity of the origin of a class of nonlinear time-varying systems which is stated in terms of persistency of excitation (PE), a concept well known in the adaptive control and systems identification literature.
Antonio Loría +3 more
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Uniform and Persistent Jumping Detachment of Condensed Nanodroplets
Nano LettersRealizing jumping detachment of condensed droplets from solid surfaces at the smallest sizes possible is vital for applications such as antifogging/frosting and heat transfer. For instance, if droplets uniformly jump at sizes smaller than visible light wavelengths of 400-720 nm, antifogging issues could be resolved. In comparison, the smallest droplets
Chen Ma +4 more
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Uniform persistence in multispecies population models
Mathematical Biosciences, 1987The author considers an ODE system \(\dot x_ i=x_ if_ i(x)\) and gives a sufficient condition for uniform persistence which only involves upper and lower bounds of \(f_ i\) and \(\partial_ jf_ i\) on a suitably chosen compact set B. To prove this, he exhibits explicitly a persistence function which satisfies the conditions of a more abstract theorem ...
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Uniform persistence for Lotka–Volterra-type delay differential systems
Nonlinear Analysis: Real World Applications, 2003The author established sufficient conditions for uniform persistence and contractivity of the solutions (and global asymptotic stability) for models governed by Lotka-Volterra-type-delay differential system. In particular, the results in [\textit{W. Wendi} and \textit{M. Zhien}, J. Math. Anal. Appl. 158, No.
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Uniform persistence for sigmoidal diet selection with keystone prey species
Journal of Mathematical Biology, 2000In this paper we discuss uniform persistence (UP) criteria of two prey- one predator systems, where we consider that the predator's diet selection is a sigmoidal function of the most profitable prey type in place of a step function of conventional diet choice theory.
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Uniform persistence and permanence for non-autonomous semiflows in population biology
Mathematical Biosciences, 2000Conditions are presented for uniform strong persistence of non-autonomous semiflows, taking uniform weak persistence for granted. Turning the idea of persistence upside down, conditions are derived for non-autonomous semiflows to be point-dissipative.
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Uniform persistence in a generalized prey–predator system with parasitic infection
Biosystems, 1998This paper deals with a generalized prey-predator system where the prey population is infected by a microparasite. The model is described by a system of three autonomous ordinary differential equations. Conditions for persistence of all populations are given. Impermanence criteria are also derived.
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Towards uniform linear time-invariant stabilization of systems with persistency of excitation
2007 46th IEEE Conference on Decision and Control, 2007Consider the controlled system dx/dt = Ax + alpha(t)Bu where (A,B) is stabilizable and alpha(t) takes values in [0,1] and is persistently exciting. In particular, when alpha(t) becomes zero the system dynamics switches to an uncontrollable system. In this paper, we address the following question: is it possible to find a linear time-invariant state ...
Chaillet, Antoine +3 more
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Toward a Uniform Ablation Protocol for Paroxysmal, Persistent, and Permanent Atrial Fibrillation
Cardiac Electrophysiology Clinics, 2019Atrial fibrillation catheter ablation has emerged as the most effective strategy to restore and maintain sinus rhythm. The cornerstone of atrial fibrillation ablation is elimination of triggers from the pulmonary veins by pulmonary vein isolation.
Domenico Giovanni, Della Rocca +18 more
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