stability of discrete time filters

... 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

... in size while enabling the software-defined radio (SDR) of the future The organization of this paper is as follows Section presents discrete- time signal processing of the RF front-end mixer with ... processing gains of the temporal moving average (TMA) (followed by decimation) are merely due to the sampling time interval expansion of this discrete- time system (the sampling rate of the input ... − a1 of the total remaining charge in the “history” capacitor, provided it has no initial charge at the time of commutation Thus the system retains a1 portion of the total system charge of the...

Ngày tải lên: 22/06/2014, 22:20

... 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 ... Son, Stability radii of linear discrete- time systems and symplectic pencils, Inter J Nonlinear and Robust Control, (1991) 79–97 11 D Hinrichsen and N K Son, Stability radii of positive discrete- time ... 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

... infinite set of possible signals is converted into a finite set The next step of encoding maps the finite set of discrete time, continuous amplitude signals into a finite set of discrete time, discrete ... Z as its domain A discrete time, continuous amplitude signal has R as its range A discrete time, discrete amplitude signal has Z as its range Here, the focus is on discrete time signals Quantization ... discrete time signals Quantization is the process of approximating any discrete time, continuous amplitude signal into one of a finite set of discrete time, continuous amplitude signals based on a...

Ngày tải lên: 18/10/2013, 04:15

... 3.26 proves the global stability of the zero solution of system 3.1 – 1.2 Establishing the exponential stability of this equation is enough to apply the same arguments of the Proposition 3.1 ... stabilization of nonlinear discrete- time systems with time- varying time delay,” Nonlinear Analysis: Theory, Methods & Applications, vol 66, no 6, pp 1341–1350, 2007 11 H Bourl` s, “Local lp -stability ... theorem for discrete- time systems,” IEEE e Transactions on Automatic Control, vol 41, no 6, pp 903–907, 1996 12 E N Chukwu, Stability and Time- Optimal Control of Hereditary Systems, vol 188 of Mathematics...

Ngày tải lên: 21/06/2014, 20:20

... QG(x) ≤≤ 0, x ∈ R+ Then ˆ the discrete- time, nonlinear nonnegative dynamical system Ᏻ is partially monotonic with ˆ respect to x Proof The proof is similar to the proof of Theorem 3.2 with Proposition ... and QB ≤≤ are nonnegative Then the discrete- time, linear nonnegative dynamical system given by (2.1) is monotonic ˆ Proof The proof is a direct consequence of Theorem 3.2 with n = n and {k1 , ... ≤≤ Q ˆ Proof The proof is a direct consequence of Theorem 3.4 with n = n and {k1 , ,kn } = ˆ {1, ,n} Finally, we present a sufficient condition for weighted monotonicity for a discrete- time, linear...

Ngày tải lên: 23/06/2014, 00:20

... behavior of 1.1 Adaptive Neural Network Control of Nonlinear Systems discrete- time models and continuous -time models In this section, the development in adaptive NN control of discrete- time nonlinear ... control for time- varying discrete- time systems was investigated Compared with those results obtained for SISO discrete- time systems, fewer results can be found for MIMO discrete- time system For ... is of no use; (ii) propose a different kind of neural network weight update law for discrete- time systems; (iii) propose a modified discrete- time projection algorithm compare to continuous-time...

Ngày tải lên: 15/09/2015, 21:13

... 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

... The aim of this article was to give necessary and sufficient conditions for existence and uniqueness of solutions for generalized linear discrete- time boundary value problems of a class of linear ... vectors the p linear independent eigenvectors of the finite generalized eigenvalues of sF-G (see [1] for an algorithm of the computation of Qp) Proof Let Q = [QpQq], where Qp ∈ Mmp and Qq ∈ Mmq ... Page of The matrix pencil theory has extensively been used for the study of linear difference equations with time invariant coefficients, see for instance [1-5] A matrix pencil is a family of matrices...

Ngày tải lên: 20/06/2014, 22:20

... 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

... exponential stability in continuous -time and discrete- time delay bidirectional neural networks Phys D 159, 233–251 (2001) doi:10.1016/S0167-2789(01)00344-X Zhang, J, Yang, Y: Global stability analysis of ... memory neural networks with time delay Int J Circ Theory Appl 29, 185–196 (2001) doi:10.1002/cta.144 Liang, J, Cao, J: Exponential stability of continuous -time and discrete- time bidirectional associative ... exponential stability of BAM fuzzy cellular neural networks with time- varying delays Int J Syst Sci 41, 131–142 (2010) doi:10.1080/00207720903042921 25 Song, Q, Cao, J: Dynamical behaviors of discrete- time...

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

... −1 −1 Time (ms) 10 12 0.5 (a) (b) Level Level −1 −1 Time (ms) 10 12 0.5 (d) Level Level −1 −1 Time (ms) 10 12 0.5 Time (ms) (e) (f) Level Level Time (ms) (c) 0 −1 −1 Time (ms) 10 12 0.5 Time (ms) ... papers have dealt with discrete- time modelling of an analogue oscillator In this paper, two new discrete- time models for the Moog sawtooth oscillator suitable for realtime implementation were ... Using Phase Distortion Synthesis The first discrete- time model of the Moog sawtooth waveform oscillator proposed here is based on direct time- domain modelling of the target waveform using phase distortion...

Ngày tải lên: 21/06/2014, 05:20

... improvements because of the complicated structure of every 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 ... 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

... 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 ... solutions of discrete delayed cellular neural networks,” Physics Letters A, vol 333, no 1-2, pp 51–61, 2004 Y K Li and Z Xing, “Existence and global exponential stability of periodic solution of CNNs...

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 ... On robust stability of neutral systems with time- varying discrete delay and norm-bounded uncertainty Automatica 40(6), 1087–1092 (2004) [6] Zhao, Z, Wang, W, Yang, B: Delay and its time- derivative ... 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 ... the objective of this paper is to study the global exponential stability of the following Cohen-Grossberg bidirectional associative memory networks with impulses and time delays on time scales: ... 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...

Ngày tải lên: 22/06/2014, 02:20

... the recent work of Fan and Wang [4] and Chen [3], we study the existence of multiple positive periodic solutions of the difference equations derived in Section 2 Discrete analogue of system (1.2) ... 0,1,2, Equation (2.3) is a discrete analogue of system (1.2) Notice that the periodicity of parameters of (2.1) is sufficient, but not necessary for the periodicity of coefficients in (2.3) In system ... Periodic solutions for a discrete plankton model Naturally, more realistic models require the inclusion of the periodic changing of environment (e.g., seasonal effects of weather, food supplies,...

Ngày tải lên: 22/06/2014, 22:20

... which is a discrete time analogue of system (1.2), where N1 (t), N2 (t) are the densities of the prey population and predator population at time t Let Z, Z+ , R, R+ , and R2 denote the sets of all ... studied the stability of the equilibria, existence of Hopf bifurcation, limit cycles, homoclinic loops, and even catastrophe On the other hand, in view of the periodic variation of the environment ... 1,2 (1.8) 324 Existence and stability of periodic solutions Existence of positive periodic solution In order to obtain the existence of positive periodic solution of (1.5), for the reader’s convenience,...

Ngày tải lên: 23/06/2014, 00:20