Báo cáo hóa học: "ON NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS DRIVEN BY MEANS" docx

... time-invariant (au- tonomous) dynamical systems. It is our objective in this research to extend these results to time-variant (nonautonomous) dynamical systems driven by means. The presence of time ...  ON NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS DRIVEN BY MEANS RAGHIB M. ABU-SARIS Received 27 March 2006; Revised 13 June 2006; Accepted 14 June 2006 We investigate the a...

Ngày tải lên: 22/06/2014, 22:20

... mentioned estimate by Carro and Mart ´ ın in [4]. They consider the special case r = 2andα = 1in(2.3) and show that the L 2 norm of Tf can be estimated by a sort of an averaging norm given by  1 0   t 0 f ∗ (s) 2 ds  1/2 dt t . ... special case of this situation for p → 2 + and the blowup (p −2) −1 has been considered by Carro and Mart ´ ın [4] by means of the abst ract extrapol...

Ngày tải lên: 22/06/2014, 22:20

... (2.15) Thus, by the definition of permanent and by Lemma 2.2,weobtainthat H n (x; α) ≤  n  i=1 1 n · n  j=1 x α i j  1/d = n  j=1  M [α j ] n (x)  λ j . (2.16)  Proof of Theorem 2.1. By Lemma ... given by the left-hand side of (2.5) = 1 n · n  j=1 a 1j · 1 (n −1)! M 1j ≤  1 n · n  j=1 a 1j  1 n · n  j=1 1 (n −1)! M 1j  = 2  i=1 1 n n  j=1 a ij , (2.7) where we used ˇ C...

Ngày tải lên: 22/06/2014, 21:20

... study a boundary value problem of a class of generalized linear discrete- time systems whose coefficients are square constant matrices. By using matrix pencil theory, we obtain formulas for the solutions ... Introduction Linear matrix difference equations (LMDEs) are systems in which the variables take their values at instantaneous time points. Discrete time systems differ from con...

Ngày tải lên: 20/06/2014, 22:20

... our knowledge, discrete problems like (1.1) involving anisotropic exponents have been discussed f or the first time by Mihailescu, Radulescu, and Tersian [7] and for the second time by Koné and ... family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30 ; 34L05; 34L30. Keywords:...

Ngày tải lên: 20/06/2014, 22:20

... PERTURBED DISCRETE LYAPUNOV EQUATIONS DONG-YAN CHEN AND DE-YU WANG Received 20 February 2006; Revised 4 June 2006; Accepted 12 June 2006 The estimation of the positive definite solutions to perturbed discrete ... a class of uncertaintime-delay systems, IEE Proceedings-Control Theory and Applications 144 (1997), no. 2, 183–188. [6] L. Xie, Output feedback H ∞ control of systems with para...

Ngày tải lên: 22/06/2014, 22:20

... 2 On the identity of two q -discrete Painlev ´ e equations a novel definition of discrete Painlev ´ e equations, which is now a discrete system defined by a periodic repetition of a given ... severely limitative since it binds the discrete systems to the continuous ones through the continuous limit. However, as was shown repeatedly, the discrete systems are more fundamental than...

Ngày tải lên: 22/06/2014, 22:20

... that many problems are modeled by sin- gular discrete systems, such as the Leslie population growth model, the Leontief dynamic model of multisector economy, singular discrete optimal control problems ... x)/τ,x,t n  ∂f ∂x  (y − x)/τ,x,t n  − P n   V n−1 − V n   QV −1 n (2.14) will be bounded by cτ, where the constant c is determined by the bounds of G −1 , ∂f/∂x, P, Q, V −1...

Ngày tải lên: 22/06/2014, 22:20

... filter was determined by performing an N-point DFT on the decimated impulse re- sponse h(mM) = h(n). 3 In general, the discrete power spectrum S xx (ν)ofasignalx(m)can be estimated by 1/N times the ... freedom are required by the FDAF. That in these real-world examples a comparable number of degrees of freedom are required by each of the two filter types can be well explained by con...

Ngày tải lên: 23/06/2014, 01:20

... get (B − 1)u −log(1 −u) < BuF(u) < Ru −log(1 −u). Hence, by the terminology from Theorem 3.2, we obtain BD g (x, y) = BxF(x)+ByF (y)−BzF (z) < log(1−z)−log(1−x)−log(1−y)+R(x+y)−(B−1)z = ... x)(1 − y))) > 0. By Lemma 2.11 (3) we have (4.2) B − 1 B x + 1 B log 1 1 −x < xF (c, d; c + d; x) < Rx B + 1 B log 1 1 −x . Since x + y < 2(x + y −xy) we obtain by (4.2) Q g (x,...

Ngày tải lên: 18/06/2014, 15:20