Results 11 to 20 of about 51,558 (305)

Robust Nonlinear Tracking Control with Exponential Convergence Using Contraction Metrics and Disturbance Estimation [PDF]

Sensors, 2022
This paper presents a tracking controller for nonlinear systems with matched uncertainties based on contraction metrics and disturbance estimation that provides exponential convergence guarantees.
Pan Zhao, Ziyao Guo, Naira Hovakimyan
doaj   +2 more sources

Exponential Convergence For Markov Systems [PDF]

Annales Mathematicae Silesianae, 2015
Abstract Markov operators arising from graph directed constructions of iterated function systems are considered. Exponential convergence to an invariant measure is proved.
Ślęczka, Maciej
core   +8 more sources

Estimate of exponential convergence rate and exponential stability for neural networks [PDF]

IEEE Transactions on Neural Networks, 1999
Estimate of exponential convergence rate and exponential stability are studied for a class of neural networks which includes the Hopfield neural networks and the cellular neural networks. Both local and global exponential convergence is discussed.
Pheng-Ann Heng
exaly   +3 more sources

Exponential convergence of nonlinear Luenberger observers [PDF]

49th IEEE Conference on Decision and Control (CDC), 2010
In this paper, it is shown that under an extra observability assumption the nonlinear Luenberger observer as introduced recently in a previous publication may have an exponential convergence towards the state of the system.
Andrieu, Vincent
core   +5 more sources

On exponential convergence of random variables

Applicationes Mathematicae
Given the discrete-time sequence of nonnegative random variables, general dependencies between the exponential convergence of the expectations, exponential convergence of the trajectories and the logarithmic growth of the corresponding expected hitting times are analysed.
Tarłowski, Dawid
openaire   +5 more sources

Exponential convergence of the weighted Birkhoff average

Journal de Mathématiques Pures et Appliquées, 2022
In this paper, we consider the polynomial and exponential convergence rate of weighted Birkhoff averages of irrational rotations on tori. It is shown that these can be achieved for finite and infinite dimensional tori which correspond to the quasiperiodic and almost periodic dynamical systems respectively, under certain balance between the nonresonant ...
Tong, Zhicheng, Li, Yong
openaire   +3 more sources

Filter Functions with Exponential Convergence Order [PDF]

Mathematische Nachrichten, 1994
AbstractOversampled functions can be evaluated using generalized sinc‐series and filter functions connected with these series. A standard filter function is given by exp ((ζ2 − 1)−1). We show that the Fourier transform of this filter posseses the convergence order 0(exp (−√x)), improving an estimation given in [10].
Denk, Robert
openaire   +4 more sources

On convergence to the exponential utility problem

Stochastic Processes and their Applications, 2007
The authors solve dynamic expected utility maximization problems with possibly not everywhere increasing utility functions. Terminal values of allowed wealth processes are elements of \(L^p\). The dynamic optimization problem over wealth processes is reformulated as a constraint static problem over \(L^p\)-random variables.
Kohlmann, Michael, Niethammer, Christina R.   +1 more
openaire   +2 more sources

Equivalence of exponential ergodicity and L2-exponential convergence for Markov chains

Stochastic Processes and their Applications, 2000
Let \(Q\) be an irreducible regular \(Q\)-matrix on a countable state space \(E\). Assume that there exists an invariant probability measure \(\pi\) for the corresponding transition probability matrix \(P(t) = (p_ {ij}(t),\; i,j\in E)\). We say that \(P(t)\) is exponentially ergodic if there exists \(\alpha >0\) such that \(| p_ {ij}(t)-\pi _ {j}| \leq
Mu-Fa Chen, Chen, Mu-Fa
openaire   +3 more sources

The split step theta balanced numerical approximations of stochastic time varying Hopfield neural networks with distributed delays

Results in Control and Optimization, 2023
In this paper, split step theta balanced Euler approximations for stochastic time-varying delay Hopfield neural networks (HNN) with distributed delays are examined for their exponential stability and strong convergence.
Pichamuthu Mayavel, Anandaraman Rathinasamy   +1 more
doaj   +1 more source