... (2010). doi:10.1016/j.nonrwa.2010.03.014
16. Li, X, Cao, J: Delay- dependentstabilityof neural networks of neutral type withtimedelay in the leakage term.
Nonlinearity. 23, 1709–1726 (2010). ... inequality and stabilityof BAM FCNNs withtime delays in
the leakage terms and distributed delays. Journal of Inequalities and Applications 2011 2011:43.
Zhang and Li Journal of Inequalities ... FCNNs withtime delays in th e
leakage terms and distributed delays.
Motivated by the above discussions, the objective of this paper is to formulate and
study impulsive BAM FCNNs withtime delays...
... networks withtime delays,” Physica D, vol. 199, no. 3-4, pp. 425–436, 2004.
[10] S. Xu and J. Lam, “A new approach to exponential stability analysis of neural networks with
time- varying delays,” ... behavior of BAM neural networks with
Q. Song and J. Cao 15
stability analysis of impulsive BAM neural networks with constant delays, time- varying
or distributed delays. It may be difficult to apply ... and references
therein. To the best of our knowledge, few authors have studied the stabilityof impulsive
BAM neural network model with both time- varying delays and reaction-diffusion terms.
Motivated...
... interest of this paper is concerned with the
positivity and stabilityof solutions independent of the sizes of the delays and also being
independent of eventual coincidence of some values of delays ... solutions independent of the sizes of the delays and the stability
properties of linear time- invariant fractional dynamic differential systems subject to point
delays may be characterized with sets of ... Article
About RobustStabilityof Caputo Linear
Fractional Dynamic SystemswithTime Delays
through Fixed Point Theory
M. De la Sen
Faculty of Science and Technology, University of the Basque...
... problem
of delay- dependent s tability criteria for a class of constant time -delay neutral systemswith time- varying
structured uncertainties was investigated [4]. Han [5] obtained delay- dependentstability ... of delay- dependent robust
stability for delay neutral type control system with time- varying structured uncertainties and time- varying
delay. Some new delay and its derivative -dependent criteria ... were derived. He [7] concerned the problem
of the delay- dependentrobuststabilityof neutral systemswith mixed delays and time- varying structured
uncertainties. A new method based on linear...
... Linearization of LPNI Systems 20
3 Analysis of Reference Tracking in LPNI Systems 66
4 Analysis of Disturbance Rejection in LPNI Systems 114
5 Design of Reference Tracking Controllers for LPNI Systems ... Linearization of LPNI Systems 20
2.1 Stochastic Linearization of Open Loop Systems 20
2.1.1 Stochastic Linearization of Isolated Nonlinearities 20
2.1.2 Stochastic Linearization of Direct Paths of LPNI Systems ... Bibliography 224
8 Proofs 225
8.1 Proofs for Chapter 2 225
8.2 Proofs for Chapter 3 226
8.3 Proofs for Chapter 4 234
8.4 Proofs for Chapter 5 236
8.5 Proofs for Chapter 6 241
8.6 Proofs for Chapter...
... Hamiltonian.Theisotropy
group of a stationary point c of H restricts the possible types of linear Hamil-
tonian stability and Morse index of c. Recall that linear stability is given by
the eigenvalues of the 4ì4 ... linearized
equations of motion near c ∈ CP
2
, while the Morse index of c is the number of
negative eigenvalues of the Hessian matrix of the Hamiltonian at c. Depending
on the eigenvalues of this matrix ... T
R
3
129
A.2 Fixed Points of the Action of T
d
ìT on CP
2
130
A.3 Subspaces of CP
2
Invariant Under the Action of T
d
ìT 131
A.4 Action of T
d
ìT on the Projections of Nonlinear Normal
Modes...
... field distribution as a function of
the size of the NPs.
Figure 7. Energy band diagram profile and electric field distribution. (a) Energy
band diagram profile and (b) electric field distribution ...
current value of sample NP-2 was about one order of magnitude higher than that of
reference samples (10
−3
A/cm
2
), due to the smaller barrier height of NP-2 (0.87 eV)
compared with that of Ref ... electric field distribution as a function of the depth from
the surface of the NPs using Equation 5. The presence of small regions with a low
barrier height, Ф
B
− ∆, due to the difference of the...
... bound of the derivative of time- varyingdelay and the delay kernels h
j
,j ∈
Λ, and independent of the range of time- varying delay. Thus, it can be applied to
impulsive neural networks with unbounded ... the problem of μ -stability of impulsive neural networks with unbounded time-
varying delays and continuously distributed delays. As we know, the impulse phenomenon
as well as time delays are ubiquitous ... economical systems, and
they may cause instability and poor performance of practical systems. Therefore, the stability
analysis for neural networks withtime -delay has attracted a large amount of research
interest,...
... in the Caputo sense.
The aim of our paper is to study the solvability of 1.1 and present the existence of
mild solution of 1.1 based on Kuratowski’s measures of noncompactness. Moreover, ... space of
all X-valued continuous functions on J with the uniform norm topology.
Let us recall the definition of Kuratowski’s measure of noncompactness.
Definition 2.1. Let B be a bounded subset of ... functional-differential
equations with unbounded delay, ” Journal of Mathematical Analysis a nd Applications, vol. 221, no. 2,
pp. 452–475, 1998.
13 J. Liang and T. J. Xiao, “Functional-differential equations with infinite delay...
... 1–17,
2000.
3 Y. J. Sun and J. G. Hsieh, Robust stabilization for a class ofuncertain nonlinear systemswith time-
varying delay: Razumikhin-type approach,” Journal of Optimization Theory and Applications, ... stabilizability of a class of perturbed time- varying
difference equations with multiple delays and slowly varying coefficients. Under appropiate
growth conditions on the perturbations, combined with the ... global
exponential stabilizability of discrete -time systemswith time- delayed states. Finally, as an
application, we consider the global stabilization of the nonlinear control systems.
2. Preliminaries
In...
... the specific
distributions (dropping the dependence on the time index
with a slight abuse of notation) U
m
∼CN (0,P
c
/J)and
X
j,m
= V
j,m
+ U
m
,withV
j,m
∼CN (0,P
p
/J) independent of
U
m
.
Encoding
Each ... out some implications of this
result, leaving the details of the proof of achievability to
Appendix B. Again, to fix the ideas, consider the set of M
active MSs at a given time, one per cell, which ... average power constraint of P so that the available
power per cell is
P = JP. With intracell TDMA, each MS is
active for a fraction 1/J of the time, wherein it can transmit
with power
P, still...
... fading
in wireless communication systems. Diversity improves the
performance of communication systems by providing a
receiver with M independently faded copies of the trans-
mitted signal such ... 3
MRC
0
0.5
1
1.5
2
2.5
3
R
0
8PSK
QPSK
BPSK
Figure 1: Cutoff rate of coded GSC with M = 4 and different
number of selected diversity branches in Nakagami fading with
m
= 2.
number of combined diversity branches increases, ... required accuracy in the bound.
The cutoff rate of GSC systemswith M
= 4over
Nakagami fading channels with m
= 2 is shown in Figure 1.
In the figure, GSC systems employing 8PSK, QPSK, and
BPSK are...
... Article
Existence Result for a Class of
Elliptic Systemswith Indefinite Weights in R
2
Guoqing Zhang
1
and Sanyang Liu
2
1
College of Sciences, University of Shanghai for Science and Technology, ... 2008
Recommended by Zhitao Zhang
We obtain the existence of a nontrivial solution for a class of subcritical elliptic systems with
indefinite weights in R
2
. The proofs base on Trudinger-Moser inequality and ... supported by Innovation Program of Shanghai Municipal Education Commission
under Grant no. 08 YZ93.
References
1 F. Colin and M. Frigon, Systemsof coupled Poisson equations with critical growth in...
... of a delay difference
equation to the values of a solution of a delay differential equation with piecewise constant
arguments at integer points. The second method is based on a recursive form of ... Article
Exponential Stabilityof Difference Equations with
Several Delays: Recursive Approach
Leonid Berezansky
1
and Elena Braverman
2
1
Department of Mathematics, Ben-Gurion University of the Negev, ... I. Gy
˝
ori, F. Hartung, and J. Turi, “On the effects ofdelay perturbations on the stabilityof delay
difference equations,” in Proceedings of the 1st International Conference on Difference Equations...
... Capacity of
Multiantenna Systemswith Nakagami Fading”
Saralees Nadarajah
1
and Samuel Kotz
2
1
School of Mathematics, University of Manchester, Manchester M60 1QD, UK
2
Department of Engineering ... [1]derivedvarious
expressions for the channel capacity of multiantenna sys-
tems with the Nakagami fading channel. Most of these are
expressed in terms of the integral
J(k, β)
=
∞
0
log
1+
u
β
u
k/2−1
exp(−u)du,(1)
see, ... 2006
Recommended by Dimitrios Tzovaras
Explicit expressions are derived for the channel capacity of multiantenna systemswith the Nakagami fading channel.
Copyright â 2007 S. Nadarajah and S. Kotz. This is...