Results 71 to 80 of about 276,545 (338)
Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes [PDF]
arXiv, 1998 In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables. The same is shown for input-to-state stability and input-to-state exponential stability, and for input-to-state exponential stability and
arxiv
Exponential Stability of Impulsive Delay Differential Equations
Abstract and Applied Analysis, 2013 The main objective of this paper is to further investigate the exponential stability of a class of impulsive delay differential equations. Several new criteria for the exponential stability are analytically established based on Razumikhin techniques ...
G. L. Zhang, M. H. Song, M. Z. Liu
doaj +1 more source
International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
wiley +1 more source
Exponential Stability of Switched Positive Homogeneous Systems
Complexity, 2017 This paper studies the exponential stability of switched positive nonlinear systems defined by cooperative and homogeneous vector fields. In order to capture the decay rate of such systems, we first consider the subsystems.
Dadong Tian, Shutang Liu
doaj +1 more source
ON A STABILITY OF PEXIDERIZED EXPONENTIAL EQUATION [PDF]
Bulletin of the Korean Mathematical Society, 2009 Abstract. We prove the Hyers-Ulam stability of a Pexiderized exponen-tial equation of mappings f,g,h : G×S → C, where G is an abelian groupand S is a commutative semigroup which is divisible by 2. As an applica-tion we obtain a stability theorem for Pexiderized exponential equationin Schwartz distributions. 1.
openaire +2 more sources
Advanced Biology, EarlyView.Positively supercharged mGreenLatern protein is self‐assembled electrostatically with negatively charged zinc phthalocyanines to yield bio‐based photoactive materials in aqueous media. The addition of phthalocyanines results in the formation of large complexes fully quenching of the protein fluorescence. The results indicate an energy transfer from the
Sharon Saarinen +10 more
wiley +1 more source
A Tutorial on Incremental Stability Analysis using Contraction Theory [PDF]
Modeling, Identification and Control, 2010 This paper introduces a methodology for differential nonlinear stability analysis using contraction theory (Lohmiller and Slotine, 1998). The methodology includes four distinct steps: the descriptions of two systems to be compared (the plant and the ...
J. Jouffroy, T.I. Fossen
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Linearization and exponential stability
, 2014 We give sufficient conditions such that the exponential stability of the linearization of a non-linear system implies that the non-linear system is (locally) exponentially stable. One of these conditions is that the non-linear system is Fr chet differential at the equilibrium, if it is only Gateaux differentiable, then we show by means of an example ...
openaire +2 more sources
Stability of exponential bases on d- dimensional domains [PDF]
arXiv, 2014 We find explicit stability bounds for exponential Riesz bases on domains of R^d. Our results generalize Kadec theorem and other stability theorems in the literature.
arxiv
A note on exponential stability of a thermoelastic system with internal delay [PDF]
arXiv, 2022 The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction. To avoid this problem we add to the system, at the delayed equation, a Kelvin-Voigt damping. In this note we point on the exponential stability of such system in order to improve the mean result in our paper Well-posedness ...
arxiv