Results 61 to 70 of about 4,627 (196)
Stability analysis of fuzzy controllers through the computation of the Lyapunov Exponent
Revista Iberoamericana de Automática e Informática Industrial RIAI, 2015 In order to design and implement any type of controller, their stability analysis is pivotal. At this regard, Lyapunov's analytical method consists in finding a candidate function as a sufficient but not necessary condition to validate the stability of ...
Leonardo Alonso Martínez Rivera +2 more
doaj +1 more source
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Networked control systems (NCSs) often suffer from performance degradation due to limited communication bandwidth, which can cause data transmission conflicts and packet loss. Existing scheduling strategies may fail to simultaneously meet the real‐time requirements and the importance of multisensor data, and they are particularly vulnerable ...
Da Chen +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2019 In this article, we study the continuity of the Lyapunov exponent of discrete analytic Jacobi operators with the skew-shift mapping. We prove that the Lyapunov exponent is weak Holder continuous in E for any Diophantine frequency in the large coupling
Kai Tao
doaj
Renormalization techniques for inflation systems and some of their applications
Acta Crystallographica Section A, EarlyView.In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake +4 more
wiley +1 more source
On Lyapunov exponents and adversarial perturbation
CoRR, 2018 In this paper, we would like to disseminate a serendipitous discovery involving Lyapunov exponents of a 1-D time series and their use in serving as a filtering defense tool against a specific kind of deep adversarial perturbation. To this end, we use the state-of-the-art CleverHans library to generate adversarial perturbations against a standard ...
Vinay Uday Prabhu +2 more
openaire +2 more sources
Lyapunov Exponents for Surface Group Representations [PDF]
Communications in Mathematical Physics, 2015 Let (ρ_\la)_{\la\in \La} be a holomorphic family of representations of a surface group π_1(S) into PSL(2,C), where S is a topological (possibly punctured) surface with negative Euler characteristic. Given a structure of Riemann surface of finite type on S we construct a bifurcation current on the parameter space \La, that is a (1,1) positive closed ...
Deroin, Bertrand, Dujardin, Romain
openaire +4 more sources
Positive Lyapunov exponent of discrete analytic Jacobi operator
Electronic Journal of Differential Equations, 2017 In this article, we study the Lyapunov exponent of discrete analytic Jacobi operator with a family of some mappings on the torus. By applying the theory of subharmonic functions, we prove that the Lyapunov exponent is positive, if the coupling number ...
Kai Tao
doaj
Anchor Flow Maps: Efficient Sampling and Approximation of the Entire Flow Map
Computer Graphics Forum, EarlyView.Abstract Flow maps are a fundamental concept for the visualization and analysis of time‐dependent flows. A common approach is to apply sampling and reconstruction – which comes with a number of problems: flow maps are high‐dimensional functions with locally large gradients which makes approximations very challenging.
D. Stelter +3 more
wiley +1 more source
Lyapunov Exponents and Sensitive Dependence
Journal of Dynamics and Differential Equations, 2010 Precise relationships between Lyapunov exponents and the instability/stability of orbits of scalar discrete dynamical systems are investigated. It is known that positive Lyapunov exponent does not, in general, imply instability, or, equivalently, sensitive dependence on initial conditions.
Kocak, Hueseyin, Palmer, Kenneth J.
openaire +2 more sources
Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
International Economic Review, EarlyView.ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
wiley +1 more source