... in robust control (De Oliveira and Skelton, 2001) and that has been already used for the study oftime delay systems in the delay independent case (Castelanet al., 2003) and in the delaydependent ... effectiveness of the proposed conditions.Keywords: Linear timedelay systems, Stability, Robustness1. INTRODUCTIONDuring the last decades, stabilityof linear time delay systems have attracted a lot of ... (2002). Robuststabilityof uncertain delay- differential systemsof neutral type. Automatica38, 719–723.Kolmanovskii, V.B. and J.P. Richard (1999). Stability of some linear systemswith delay. ...
... inequality andstabilityof 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 Applications ... FCNNs withtime delays in th eleakage terms and distributed delays.Motivated by the above discussions, the objective of this paper is to formulate and study impulsive BAM FCNNs withtime delays ... 2011:43http://www.journalofinequalitiesandapplications.com/content/2011/1/43Page 3 of 18 RESEARCH Open AccessIntegro-differential inequality andstabilityof BAMFCNNs withtime delays in the leakage terms and distributed delaysXinhua Zhang and Kelin Li**...
... amplify- and- forward in [13, 15], respectively, and decode -and- forward in [14], and the respective merits of multicellprocessing and MS cooperative transmission technologies, and combinations thereof, ... Y. Bar-Ness, and U. Spagnolini,“Low-SNR analysis of cellular systemswith cooperative basestations and mobiles,” in Proceedings of the 14th AsilomarConference on Signals, Systemsand Computers ... on the time index with a slight abuse of notation) Um∼CN (0,Pc/J )and Xj,m= Vj,m+ Um,withVj,m∼CN (0,Pp/J) independent of Um.EncodingEach mth MS encodes messages Wp, j,m and Wc,masxm(Wp,...
... interest of this paper is concerned with thepositivity andstabilityof solutions independent of the sizes of the delays and also beingindependent 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 pointdelays may be characterized with sets of ... time independent of the delays. Also, the total solutions foradmissible bounded controls are also bounded for all time independent of the delays. Fixed Point Theory and Applications 3Rand...
... non-negative solu-tion and the stabilityand asymptotic properties of the solution of fractional differentialdynamic systems involving delayed dynamics with point delays.El-Sayed and Gaafar Advances ... existence of a unique solutionfor a class ofnonlinear non-autonomous system of Riemann-Liouville fractionaldifferential systemswith different constant delays and non-local condition is. The stability ... RESEARCH Open Access Stability of a nonlinear non-autonomousfractional order systemswith different delays and non-local conditionsAhmed El-Sayed1* and Fatma Gaafar2* Correspondence:amasayed5@yahoo.com1Faculty...
... Discrete systemsof the form (1.1) containing only one delay are oftencalled systemswith pure delay. The main goal of the present paper is to extend the notion of the delayed exponential of a matrix ... Description of the problem considered. The motivation of our investigation goesback to [10] dealing with the linear system of differential equations with constant coeffi-cients and constant delay. One of ... solutions of linear discrete systemswith constant coefficients and w ith pure delay. Solutions areexpressed with the aid of a special function called the discrete matrix delayed exponentialhaving...
... Son and D. Hinrichsen. Stability radii of positive discrete- time systems under affine perturbations, Inter.J. RobustandNonlinear Control 8 (1998) 1169–1188.17. N. K. Son and D. Hinrichsen, Robust ... Hinrichsen, Robuststabilityof positive continuous -time sys-tems, Numer. Funct. Anal. Optim. 17 (1996) 649–659.18. N. K. Son and P. H. A. Ngoc, Robuststabilityof positive linear time -delay systems under ... 353–371.19. N. K. Son and P. H. A. Ngoc, Robuststabilityof functional differential equations,Adv. Stud. Contemp. Math. 3 (2001) 43–59. RobustStabilityof Metzler Operator andDelay Equation in...
... 142 Stochastic 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 ... approximation is well within 10% in terms of the variances of y and ˆy and u and ˆu. More details on stochastic linearization and its accuracy are included in Chapter 2.It should be noted that stochastic ... we discuss below stochastic linearization of the closedloop system of Figure 2.4. First, we address the case ofnonlinear actuators and sensors separately and then the case of nonlinearities in...
... 4137 Stability and Stabilizing Control of Stochastic Systems 417P. V. Pakshin7.1 Stochastic mathematical models of systems 4197.1.1 Models of differential systems corrupted ... linear systems 4527.6.3 Stability of thepth moments of linear systems 4547.6.4 Absolute stochastic stability 4557.6.5 Robust stability 4567.7 Stabilizing control of linear ... algorithms with soft constraints, and global stochastic approxima-tion algorithms, among other methods. The utility of stochastic approximation methods isdemonstrated with applications...
... Hamiltonian.Theisotropygroup of a stationary point c of H restricts the possible types of linear Hamil-tonian stabilityand Morse index of c. Recall that linear stability is given bythe eigenvalues of the 4ì4 ... Spaces R3 and 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 ofNonlinear ... Hamiltonian Systems Nonlinear normal modes correspond to equilibria of the reduced system and by virtue of Michel’s theorem [86] every critical point of the action of D3ìT on S2is an equilibrium of...
... 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 ... alt="" - 4 - with a σ of 11.7 nm and 36.1 nm with a σ of 10.3 nm, respectively. It is noticeable in Figure 2 that the difference of the NPs' sizes compared to the NP-1 sample and NP-2 sample ... barrier height of the fabricated SiC diode structures (NP-1; Ni with embedded Ag-NPs) has significantly reduced by 0.11 eV and 0.18 eV with respect to the samples with Au-NPs (NP-2) and the reference...
... pagesdoi:10.1155/2010/738306Research ArticleThe Permanence and Extinction of a DiscretePredator-Prey System withTimeDelay and Feedback ControlsQiuying Li, Hanwu Liu, and Fengqin ZhangDepartment of Mathematics, Yuncheng University, ... theintrinsic growth rate and density -dependent coefficient of the prey at time n, respectively.dn,a22n denote the death rate and density -dependent coefficient of the predator at time n, respectively. ... 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...
... 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, and BPSK are considered. We ... 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, ... theanalysis of GSC systems over Nakagami fading channels waspresented in [5] and more recently in [6]. In [7], the cutoffrate and a union bound on the bit-error probability of codedSC systems over...
... ArticleExistence Result for a Class of Elliptic Systemswith Indefinite Weights in R2Guoqing Zhang1 and Sanyang Liu21College of Sciences, University of Shanghai for Science and Technology, Shanghai ... we have a nontrivial critical point of the functional Iu, v and concludethe proof of Theorem 2.2. G. Zhang and S. Liu 3As the potential V x and the nonlinearity fx, t are asymptotic ... 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 a generalized linkingtheorem...
... Absorption and by the NSERC Research Grant.References1 V. L . K oci´c and G. Ladas, Global Behavior ofNonlinear Difference Equations of Higher Order with Applications, vol. 256 of Mathematics and ... attractivity of difference equations with variable delay, ” Dynamics of Continuous, Discrete and Impulsive Systems, vol. 6, no. 3, pp. 307–317, 1999.12 V. V. Malygina and A. Y. Kulikov, “On precision of ... equations with variable coefficients,” Journal of Mathematical Analysis and Applications, vol. 334, no. 1, pp. 232–247,2007.15 I. Gy˝ori and F. Hartung, Stability in delay perturbed differential and...