Results 31 to 40 of about 2,468,981 (349)
Boundedness in infinite delay systems
Journal of Mathematical Analysis and Applications, 1989 AbstractWe consider a system of functional differential equations with infinite delay and derive conditions on Liapunov functionals to ensure that solutions are uniformly bounded and uniformly ultimately bounded. The analysis is based on Jensen's inequality. Examples of Volterra integrodifferential equations are given.
Theodore Burton, R.H. Hering
openaire +2 more sources
Repellers in systems with infinite delay
Journal of Mathematical Analysis and Applications, 1989 Abstract One of the most important questions concerning interacting species is whether all the species survive in the long term. Here, models governed by a class of autonomous functional differential equations with infinite delay are considered, long term survival being interpreted in terms of the criterion of “permanent coexistence” which appears to
V Hutson, Theodore Burton
openaire +2 more sources
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Dimensional reduction of nonlinear time delay systems
International Journal of Mathematics and Mathematical Sciences, 2005 Whenever there is a time delay in a dynamical system, the study of stability becomes an infinite-dimensional problem. The centre manifold theorem, together with the classical Hopf bifurcation, is the most valuable approach for simplifying the infinite ...
M. S. Fofana
doaj +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
On the geometric interpretation of the Polynomial Lie Bracket for nonlinear time-delay systems [PDF]
, 2016 Time-delay systems are infinite dimensional, thus standard differential geometric tools can not be applied in a straightforward way. Though, thanks to a suitable extended Lie Bracket - or Polynomial Lie Bracket - which has been introduced recently, it is
Battilotti, Stefano +2 more
core +2 more sources
Discretisation of an infinite delay equation [PDF]
Mathematics of Computation, 2006 In this paper, a Banach phase space containing BC(-∞,0] and contained in C(-∞,0] is defined with which existence of a solution and convergence of a discrete scheme are proved for an infinite delay differential equation.
openaire +1 more source
Cogent Engineering, 2015 The current paper is concerned with the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces.
Diem Dang Huan, Hongjun Gao
doaj +1 more source
Improved Delay Estimates for a Queueing Model for Random Linear Coding for Unicast [PDF]
, 2009 Consider a lossy communication channel for unicast with zero-delay feedback. For this communication scenario, a simple retransmission scheme is optimum with respect to delay.
Diez, Angela I. Barbero +2 more
core +2 more sources
Oscillation of equations with an infinite distributed delay
Computers & Mathematics with Applications, 2010 AbstractFor the equation with a finite or infinite distributed delay ẋ(t)+∫−∞tx(s)dsR(t,s)=0 the existence of nonoscillatory solutions is studied. A general comparison theorem is obtained which allows to compare oscillation properties of equations with concentrated delays to integrodifferential equations.
Leonid Berezansky, Elena Braverman
openaire +2 more sources