... interest of this paper is concerned with thepositivity and stability of solutions independent of the sizes of the delays and also beingindependent of eventual coincidence of some values of delays ... independent of the sizes of the delays and the stabilityproperties of linear time- invariant fractional dynamic differential systems subject to pointdelays may be characterized with sets of precise ... is concerned with the investigation of the solutions of time- invariantfractional differential dynamic systems 23, 24, involving point delays which leads toa formalism of a class of functional...
... FCNNs withtime delays in th eleakage terms and distributed delays.Motivated by the above discussions, the objective of this paper is to formulate andstudy impulsive BAM FCNNs withtime delays ... inequality and stability of BAM FCNNs withtime delays inthe leakage terms and distributed delays. Journal of Inequalities and Applications 2011 2011:43.Zhang and Li Journal of Inequalities and ... (2010). doi:10.1016/j.nonrwa.2010.03.01416. Li, X, Cao, J: Delay- dependent stability of neural networks of neutral type withtimedelay in the leakage term.Nonlinearity. 23, 1709–1726 (2010)....
... Linearization of LPNI Systems 203 Analysis of Reference Tracking in LPNI Systems 664 Analysis of Disturbance Rejection in LPNI Systems 1145 Design of Reference Tracking Controllers for LPNI Systems ... Linearization of LPNI Systems 202.1 Stochastic Linearization of Open Loop Systems 202.1.1 Stochastic Linearization of Isolated Nonlinearities 202.1.2 Stochastic Linearization of Direct Paths of LPNI Systems ... system control- theoretic developments of problems P1–P5, which parallel those of linear control theory, leading to what we call quasilinear control (QLC) theory.The question of accuracy of stochastic linearization,...
... robust controlof frac-tional differential systemswith delays. They delt with the BIBO stability of bothretarded and neutral fractional delay systems. Zhang [16] established the existence of aunique ... solu-tion and the stability and asymptotic properties of the solution of fractional differentialdynamic systems involving delayed dynamics with point delays.El-Sayed and Gaafar Advances in Difference ... AccessStability of a nonlinear non-autonomousfractional order systemswith different delays andnon-local conditionsAhmed El-Sayed1*and Fatma Gaafar2* Correspondence:amasayed5@yahoo.com1Faculty of...
... survivalrates. Of practical interest in ecosystem is the question of whether an ecosystem can withstandthose unpredictable forces which persist for a finite period oftime or not. In the language of control ... conclusion of Theorem 3.2 holds. This completes theproof of Theorem 3.2.In order to obtain the permanence of the component yn of system 1.3, we nextconsider the following single-specie system with ... ArticleThe Permanence and Extinction of a DiscretePredator-Prey System withTimeDelay andFeedback ControlsQiuying Li, Hanwu Liu, and Fengqin ZhangDepartment of Mathematics, Yuncheng University,...
... in ecology is the question of whether ornot an ecosystem can withstand those unpredictable disturbances which persist for a finiteperiod of time. In the language ofcontrol variables, we call ... therein.Chen 11 considered the permanence of the following nonautonomous discrete N-species cooperation system withtime delays and feedback controls of the formxik 1 xikexprik1 ... pagesdoi:10.1155/2009/515706Research ArticlePermanence of a Discrete n-SpeciesSchoener Competition System with Time Delays and Feedback ControlsXuepeng Li and Wensheng YangSchool of Mathematics and Computer Science,...
... linearizedequations of motion near c ∈ CP2, while the Morse index of c is the number of negative eigenvalues of the Hessian matrix of the Hamiltonian at c. Dependingon the eigenvalues of this matrix ... TR3 129A.2 Fixed Points of the Action of TdìT on CP2 130A.3 Subspaces of CP2Invariant Under the Action of TdìT 131A.4 Action of TdìT on the Projections of Nonlinear NormalModes ... Hamiltonian Systems Nonlinear normal modes correspond to equilibria of the reduced systemand by virtue of Michel’s theorem [86] every critical point of the action of D3ìT on S2is an equilibrium of...
... out some implications of thisresult, leaving the details of the proof of achievability toAppendix B. Again, to fix the ideas, consider the set of Mactive MSs at a given time, one per cell, which ... U. Spagnolini,“Low-SNR analysis of cellular systemswith cooperative basestations and mobiles,” in Proceedings of the 14th AsilomarConference on Signals, Systems and Computers (ACSSC ’06),pp. ... average power constraint of P so that the availablepower per cell isP = JP. With intracell TDMA, each MS isactive for a fraction 1/J of the time, wherein it can transmit with powerP, still...
... required accuracy in the bound.The cutoff rate of GSC systemswith M= 4overNakagami fading channels with m= 2 is shown in Figure 1.In the figure, GSC systems employing 8PSK, QPSK, andBPSK are ... 3MRC00.511.522.53R08PSKQPSKBPSKFigure 1: Cutoff rate of coded GSC with M = 4 and differentnumber of selected diversity branches in Nakagami fading with m= 2.number of combined diversity branches increases, ... fadingin wireless communication systems. Diversity improves theperformance of communication systems by providing areceiver with M independently faded copies of the trans-mitted signal such...
... ArticleExistence Result for a Class of Elliptic Systemswith Indefinite Weights in R2Guoqing Zhang1and Sanyang Liu21College of Sciences, University of Shanghai for Science and Technology, ... 2008Recommended by Zhitao ZhangWe obtain the existence of a nontrivial solution for a class of subcritical elliptic systems with indefinite weights in R2. The proofs base on Trudinger-Moser inequality and ... supported by Innovation Program of Shanghai Municipal Education Commissionunder Grant no. 08 YZ93.References1 F. Colin and M. Frigon, Systemsof coupled Poisson equations with critical growth in...
... of a delay differenceequation to the values of a solution of a delay differential equation with piecewise constantarguments at integer points. The second method is based on a recursive form of ... ArticleExponential Stability of Difference Equations with Several Delays: Recursive ApproachLeonid Berezansky1and Elena Braverman21Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva ... Journal of Mathematical Analysis and Applications, vol. 336, no. 1, pp. 262–276, 2007.7 I. Gy˝ori, F. Hartung, and J. Turi, “On the effects ofdelay perturbations on the stability of delay difference...
... Capacity of Multiantenna Systemswith Nakagami Fading”Saralees Nadarajah1and Samuel Kotz21School of Mathematics, University of Manchester, Manchester M60 1QD, UK2Department of Engineering ... [1]derivedvariousexpressions for the channel capacity of multiantenna sys-tems with the Nakagami fading channel. Most of these areexpressed in terms of the integralJ(k, β)=∞0log1+uβuk/2−1exp(−u)du,(1)see, ... 2006Recommended by Dimitrios TzovarasExplicit expressions are derived for the channel capacity of multiantenna systemswith the Nakagami fading channel.Copyright â 2007 S. Nadarajah and S. Kotz. This is...
... Capacity of Multiantenna Systems with Nakagami FadingFeng Zheng1and Thomas Kaiser21Department of Electronic and Computer Engineering, University of Limerick, Limerick, Ireland2Department of ... ageneralization of previous MIMO results. On the other hand,there are no reports in the literature on the study of the chan-nel capacity of MIMO systemswith the Nakagami fading tothe best of the authors’ ... probability decreases considerably with the number of receive a ntennas in the range of wholetransmission rate, whilePout(R) decreases with the number of transmit antennas when R/WXis lower...
... addition of a timedelay in the feedback path of the loop. This paperhas proposed and described a chaos control technique tobroaden the tracking range of ZCDPLL withtime delay. Thedelayed ... 1.7comparedtoK1= 1.1 for conventional ZCD-PLL withtime delay. The proposed chaos-controlled ZCD-PLL withtimedelay extends the stable region of operationto higher values of K1which leads to higher operating ... that for ZCD-PLL withtimedelay derived in previous section. T he conver-gence region of the conventional ZCDPLL withtime delay described by (18) and the proposed chaos-controlled ZCD-PLL...
... value of the global time. Figure 2.25 showsan example of a timer used to monitor a response. First, the timer T201 is declared (right part).Then after output IAM, T201 is started using SET: timer ... validation of SDL systems by simulation.Very few other commercial tools or languages provide such a range of features for thevalidation and development of communications systems and software.Some ... simulation tools, with direct explanations.Although this book describes how to validate telecommunication systems, it can be used tovalidate the behavior of other kinds of real -time systems that...