von neumann stability of implicit time schemes

... 6–9, pp 1195–1202, 2003 10 J Schinas, Stability and conditional stability of time- dependent difference equations in Banach spaces,” Journal of the Institute of Mathematics and Its Applications, ... the stability of the solutions of such equation However, the case of variable coefficients is not studied in this article In the next corollary, we will apply Theorem 3.3 to this particular case of ... Zhang, “Estimate of total stability of delay difference systems,” Computers & Mathematics with Applications, vol 37, no 9, pp 31–38, 1999 12 S A Kuruklis, “The asymptotic stability of xn − axn bxn−k...

Ngày tải lên: 22/06/2014, 06:20

... time scale Nonlinear Implicit Dynamic Equations on Time Scales 2.1 Some Basic Notations of the Theory of the Analysis on Time Scales A time scale is a nonempty closed subset of the real numbers ... some criteria ensuring the stability for a class of quasilinear dynamic equations on time scales So far, the inverse theorem of the theorems of the stability in Section of this paper is still an ... talking about stability and asymptotical stability However, the concept of A-uniform stability implies P -uniform stability if the matrices At are uniformly bounded and P -uniform stability implies...

Ngày tải lên: 21/06/2014, 05:20

... on the timestep to prevent the blow up of the numerical values, under the form t a xi , i Z, where a is an approximation of the speed of propagation We shall often denote Ui instead of Uin ... the centers of the cells We consider a constant timestep t > and dene the discrete times by n N tn = nt, (2.3) Uin The discrete values intend to be approximations of the averages of the exact ... one is twofold: it ensures the computation of admissible discontinuities, and at the same time it provides a global stability, by the property that a quantity measuring the global size of the data...

Ngày tải lên: 23/03/2014, 01:20

... improve the robustness of EMG pattern classification by identifying robust sets of EMG features The experiments of this study were designed with the aim of examining the stability of EMG features under ... as: Tkach et al., Study of stability of time- domain features for electromyographic pattern recognition Journal of NeuroEngineering and Rehabilitation 2010, 7:21 Page 13 of 13 ... (one-way ANOVA, p < 0.05) Lastly, the stability of a feature set with respect to all studied disturbances was of primary interest in our analysis The stability index of each feature set was calculated...

Ngày tải lên: 19/06/2014, 08:20

... Hence, the Lagrange stability properties of the comparison equation in u imply that the corresponding initial time difference Lagrange stability properties of the y(t, τ0, y0) ˜ of the system (4.2) ... Lagrange stability [2,12-20] and the classical notion of boundedness and Lagrange stability for fractional order differential systems [4,7] The classical notions of boundedness and Lagrange stability ... comparison result in which the stability properties of the null solution of the comparison system imply the corresponding (ITD) boundedness and Lagrange stability properties of the perturbed fractional...

Ngày tải lên: 20/06/2014, 22:20

... existence and uniqueness of equilibrium point are presented in Section In Section 4, we give some sufficient conditions of exponential stability of the impulsive BAM FCNNs with time delays in the leakage ... vn)T Î Rn Existence and uniqueness of equilibrium point In this section, we will proof the existence and uniqueness of equilibrium point of model (1) For the sake of simplification, let ⎧ ⎪˜ = ⎪ ... completes the proof Exponential stability and exponential convergence rate In this section, we will discuss the global exponential stability of system (1) and give an estimation of exponential...

Ngày tải lên: 21/06/2014, 00:20

... desirable stability if the time delays are unbounded? Recently, Chen et al 23, 24 proposed a new concept of μ -stability and established some sufficient conditions to guarantee the global μ -stability of ... x∗ − f x∗ Obviously, the μ -stability analysis of the equilibrium point x∗ of system 2.1 can be transformed to the μ -stability analysis of the trivial solution y of system 2.5 For completeness, ... that ensure the μ -stability of the addressed systems are derived in terms of LMIs, which can easily be checked by resorting to available software packages The organization of this paper is as...

Ngày tải lên: 21/06/2014, 05:20

... interest of this paper is concerned with the positivity and stability of solutions independent of the sizes of the delays and also being independent of eventual coincidence of some values of delays ... exponential stability of a wide class of linear time- delay systems,” Journal of Mathematical Analysis and Applications, vol 289, no 2, pp 456–476, 2004 26 M De la Sen, Stability of impulsive time- varying ... 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 precise...

Ngày tải lên: 21/06/2014, 05:20

... exponential stability of anti-periodic solutions of system 1.1 by using the method of coincidence degree theory and Lyapunov functions The initial conditions associated with system 1.1 are of the ... existence of the anti-periodic solutions of system 1.1 In Section 4, we give the criteria of global exponential stability of the anti-periodic solutions of system 1.1 In Section 5, an example ... satisfied In view of all the discussions above, we conclude from Lemma 2.13 that system 1.1 has at least one ω/2-anti-periodic solution This completes the proof Global Exponential Stability of Antiperiodic...

Ngày tải lên: 21/06/2014, 07:20

... problem of delay-dependent stability criteria for a class of constant time- delay neutral systems with time- varying structured uncertainties was investigated [4] Han [5] obtained delay-dependent stability ... article deals with the problem of stability of descriptor neutral systems with multiple delays Using Lyapunov functional and free-weighting matrix method, a delay-dependent stability criterion is obtained ... descriptor systems; asymptotical stability; free-weighting matrix; linear matrix inequality 1 Introduction Since the time delay is frequently viewed as a source of instability and encountered in...

Ngày tải lên: 21/06/2014, 20:20

... exponential stability of the unique equilibrium point of Cohen-Grossberg BAM neural networks with distributed delays and impulses on time scales This is the first time applying the time- scale calculus ... Huang, and J Cao, Stability of Cohen-Grossberg neural networks with timevarying delays,” Neural Networks, vol 20, no 8, pp 868–873, 2007 17 T Huang, Y Huang, and C Li, Stability of periodic solution ... and J Chen, Stability of Time- Delay Systems, Birkh¨ user, Boston, Mass, USA, a 2003 22 S H Saker, R P Agarwal, and D O’Regan, “Oscillation of second-order damped dynamic equations on time scales,”...

Ngày tải lên: 22/06/2014, 02:20

... Exponential stability of dynamic equations on time scales It is the second term in (2.5) that usually makes the Lyapunov theory for time scales much more difficult than the continuous case Exponential stability ... constants Then all solutions of (1.1)-(1.2) that stay in D satisfy x(t) ≤ W −1 V x0 + L e M t,t0 , ∀t ≥ t0 (3.12) 138 Exponential stability of dynamic equations on time scales Proof Let x be a solution ... min{λ3 ,δ } Then the trivial solution of (1.1) is uniformly exponentially stable on [0, ∞) 140 Exponential stability of dynamic equations on time scales Proof Let x be a solution to (1.1)-(1.2)...

Ngày tải lên: 23/06/2014, 00:20

... Peaucelle (2006) A note on the stability of time- delay systems In: ROCOND Toulouse Submitted Gu, K (1997) Discretized LMI set in the stability problem of linear uncertain time- delay systems Internat ... the transpose of A 1n and 0m,n denote the respectively the identity matrix of size n and null matrix of size n × n If the context allows it the dimensions of these matrices are often omitted ... (2001) Discretization schemes for lyapunovkrasovskii functionals in time- delay systems Kybernetika 37(4), 479–504 Gu, K., K.L Kharitonov and J Chen (2003) Stability of Time- Delay Systems Control...

Ngày tải lên: 06/07/2014, 21:20

... stability criterion for exponential stability of system (1) using the Lyapunov stability theory and linear matrix inequality approach Now the following theorem gives a new criterion for the stability ... Exponential stability of continuous -time and discrete -time bidirectional associative memory networks with delays Chaos, Solitons & Fractals 2004;22:773–85 [10] Huang L, Huang C, Liu B Dynamics of a ... Exponential stability of high-order bidirectional associative memory neural networks with time delay Physica D 2004;199:425–36 [21] Park JH A novel criterion for global asymptotic stability of BAM...

Ngày tải lên: 06/07/2014, 21:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... of interest to consider conditions of robust stability of a polytope of matrices It is well known that, in general, the stability of all vertex matrices is not sufficient for robust stability of ... a better robustness for stability of A : rR (A − BF ; D, E) ≥ rR (A; D, E) In this context, it is of interest to consider the problem of maximizing the stability radius of positive systems by ... Thus, the stability radii measure the robustness of stability of the systems under complex and real perturbations, respectively From practical point of view, the system is ”better” if its stability...

Ngày tải lên: 06/08/2014, 05:20

... to the topic of coderivatives of implicit multifunctions in Banach spaces, a lower estimate for the values of the Fr´echet coderivative of implicit multifunctions under a select of assumptions ... values of the Mordukhovich coderivative of the implicit multifunctions in [9], we obtain formulas for computing/estimating the Fr´echet coderivative and the Mordukhovich coderivative of the implicit ... On the basis of the explicit formulas of coderivatives of the normal cone operator to parametric smooth-boundary sets in Asplund spaces given in [13], the coderivative formulas of implicit multifunctions...

Ngày tải lên: 12/10/2015, 10:46