first and second order feedback systems

... to study the LCR and ADF in addition to the PDF and CDF of the instantaneous channel capacity in order to meet the increasing demand for high data rates in mobile communication systemsb In [24], ... number of hops and the severity of fading on the instantaneous channel capacity, and hence they are very useful for the design and performance analysis of multihop communication systems Keywords: ... types, namely amplify -and- forward (or non-regenerative) relays [9, 10] and decode -and- forward (or regenerative) relays [9, 11] The relay nodes in multihop communication systems can further be...

Ngày tải lên: 20/06/2014, 20:20

... problems of second order impulsive differential equations, J Math Anal Appl 149 (1990), no 1, 56–69 D Franco and J J Nieto, First- order impulsive ordinary differential equations with anti-periodic and ... u such that ≤ u(t) ≤ β(t) for t ∈ T Second order In this section, we are concerned with second- order dynamic equations with functional boundary conditions and impulse: y (t) = f t, y σ (t) , ... then Ꮿ J1 = y : J1 −→ R : y and y ∆ are continuous on J1 , + + Ꮿ J2 = y : J2 −→ R : y and y ∆ are continuous on J2 and y t1 and y ∆ t1 exist , A = y : J −→ R : y1 ∈ Ꮿ J1 and y2 ∈ Ꮿ J2 (3.7) For...

Ngày tải lên: 23/06/2014, 00:20

... volume and, therefore, we use the subtitle Performance Analysis and Design of Feedback Systems with Nonlinear Actuators and Sensors In view of the above, one may ask a question: If all feedback systems ... P(s) and C(s) represent the plant and controller, respectively, and the nonlinear functions f (·) and g(·) describe, respectively, the actuator and sensor The signals r, d, e, u, v, y, and ym ... coloring filter with the 3dB bandwidth r , the plant, and the controller, respectively, f (u) is the actuator nonlinearity, and wr and r are standard white noise and the reference signal Since,...

Ngày tải lên: 23/03/2014, 15:20

... Hamiltonian systems, wave equations, and Schrödinger equations Theorem 3.2 Assume that F(t, x) satisfies (A’), (B1), (B3), and (B4) and the following assumption: (B5) T + F(t, 0)dt = 0, and there ... positive constants ε and δ such that < ε < C1 and < δ < ε, where C1 is the same as in (3.3), and |F(t, x)| ≤ (M + ε)|x|r1 (3:15) for a.e t Î [0, T] and |x| ≤ δ Let s:= δ/C1 and ||u|| = s, since ... u Î Lp(t) and v Î Lq(t), we have T uvdt ≤ 2|u|p(t) |v|q(t) , 1 + = p(t) q(t) (ii) If p (t) and p (t) Î C([0, T], ℝ + ) and p (t) ≤ p (t) for any t Î [0, T], then Lp2 (t) → Lp1 (t), and the embedding...

Ngày tải lên: 20/06/2014, 22:20

... nonautonomous second order systems with sublinear nonlinearity Proc Amer Math Soc 126, 3263–3270 (1998) doi:10.1090/S0002-9939-98-04706-6 Tang, CL, Wu, XP: Periodic solutions for second order systems ... Huicheng Yin for his help and many valuable discussions, and the first author takes the opportunity to thank Professor Xiangsheng Xu and the members at Department of Mathematics and Statistics at Mississippi ... non-autonomous second order systems J Math Anal Appl 296, 422–434 (2004) doi:10.1016/j.jmaa.2004.01.041 11 Zhao, F, Wu, X: Existence and multiplicity of periodic solution for a class of non-autonomous second- order...

Ngày tải lên: 21/06/2014, 00:20

... invariant curve in ΓA if < g1 ·, ·, g2 ·, ·, C4 A < Δ and < ς C4 A and 2.84 The constants ς and Δ depend on ω, l1 , l2 only We use Lemmas 2.9 and 2.11 to prove our Theorem 1.1 For the reversible ... semilinear Li´ nard equations,” Discrete and Continuous Dynamical e Systems, vol 12, no 1, pp 137–160, 2005 T Kupper and J You, “Existence of quasiperiodic solutions and Littlewood’s boundedness problem ... js ∂i1 j1 ∂i2 j2 f f ··· i f2 , i1 ∂tj2 ∂r i2 ∂tj2 ∂r ∂r s ∂tjs 2.37 is , and j and |j| are defined in the same way as i and |i| ci,j |i| k,|j| m,n≥2 ∂i1 j1 ∂i2 j2 ∂in jn f1 i j f2 · · · i j f2...

Ngày tải lên: 21/06/2014, 07:20

... Introduction of first law It is a subject dealt with volume, pressure, temperature, and concentration and with the relationships between them  The first law prediction is however ... substrate, but only with the end product  Contd…  The first law of thermodynamics is dealt with three fundamental concepts namely “Energy, Work & Heat” and relationship among them Energy Thermodynamics ... with “internal energy U” , that is energy acquired by means of the mass and motions of molecules , intermolecular forces and chemical compositions  The energy equation is  ∆U=U2-U1 Where , ∆U=...

Ngày tải lên: 21/07/2015, 16:18

... Cerda and P Ubilla References D G de Figueiredo and P Ubilla, “Superlinear systems of second- order ODE’s,” to appear in Nonlinear Analysis: Theory, Methods ’ Applications M Conti, L Merizzi, and ... operators of System 1.1 are nonlinear and that they may not necessarily be bounded from P Cerda and P Ubilla below by a positive bound which is independent of u and v In order to overcome these difficulties, ... applications to elliptic systems in annular domains For homogeneous Dirichlet boundary conditions, see de Figueiredo and Ubilla , Conti et al , Dunninger and Wang 3, and Wang For nonhomogeneous...

Ngày tải lên: 22/06/2014, 06:20

... Cerda and P Ubilla References D G de Figueiredo and P Ubilla, “Superlinear systems of second- order ODE’s,” to appear in Nonlinear Analysis: Theory, Methods ’ Applications M Conti, L Merizzi, and ... operators of System 1.1 are nonlinear and that they may not necessarily be bounded from P Cerda and P Ubilla below by a positive bound which is independent of u and v In order to overcome these difficulties, ... applications to elliptic systems in annular domains For homogeneous Dirichlet boundary conditions, see de Figueiredo and Ubilla , Conti et al , Dunninger and Wang 3, and Wang For nonhomogeneous...

Ngày tải lên: 22/06/2014, 19:20

... ‘Then I’d put her on the stove, and she’d melt.’ And then his grandmother patted his head and told him other stories In the evening, when little Kay was at home, and half undressed, he climbed ... twice, and Kay tied on his sledge as quickly as he could, and off he drove with it On they went quicker and quicker into the next street; and the person who drove turned round to Kay, and nodded ... still flew about in the air: and now we shall hear what happened next SECOND STORY A Little Boy and a Little Girl In a large town, where there are so many houses, and so many people, that there...

Ngày tải lên: 14/12/2013, 09:15

... value problems for quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order, and also to the investigation of differential and certain qualitative properties of solutions ... main boundary value problems for degenerate and nonuniformly elliptic and parabolic equations of second order and to the investigation of differential and certain qualitative properties of the ... C°° between 0, and 0, In particular, the function = g(x), x E 11, and the inverse function x = x(g), z E A are bounded together with their partial derivatives of first and second orders by a constant...

Ngày tải lên: 31/05/2014, 01:37

... (1899) [9] Moser, J: Stable and Random Motions in Dynamical Systems Princeton University Press, Princeton (1973) [10] Hofer, H, Wysocki, K: First order elliptic systems and the existence of homoclinic ... how to use a standard minimizing argument in critical point theory to study the existence of non-trivial homoclinic solutions of the following second- order non-autonomous discrete systems ∆2 xn−1 ... symmetric and positive definite matrix for all n ∈ Z, W (n, xn ) = a(n)V (xn ), and a : R → R+ is continuous and V ∈ C (RN , R) The forward difference operator ∆ is defined by ∆xn = xn+1 − xn and ∆2...

Ngày tải lên: 18/06/2014, 22:20

... (1899) [9] Moser, J: Stable and Random Motions in Dynamical Systems Princeton University Press, Princeton (1973) [10] Hofer, H, Wysocki, K: First order elliptic systems and the existence of homoclinic ... how to use a standard minimizing argument in critical point theory to study the existence of non-trivial homoclinic solutions of the following second- order non-autonomous discrete systems ∆2 xn−1 ... symmetric and positive definite matrix for all n ∈ Z, W (n, xn ) = a(n)V (xn ), and a : R → R+ is continuous and V ∈ C (RN , R) The forward difference operator ∆ is defined by ∆xn = xn+1 − xn and ∆2...

Ngày tải lên: 20/06/2014, 04:20

... doi:10.1186/1758-2652-14-7 Cite this article as: and : A biregional survey and review of first- line treatment failure and second- line paediatric antiretroviral access and use in Asia and southern Africa Journal of ... University, Khon Kaen, Thailand; G Jourdain, Program for HIV Prevention and Treatment, Chiang Mai, Thailand; J Ananworanich*† and T Suwanlerk, The Netherlands, Australia, Thailand Research Collaboration ... children are ready to switch to second- line ART now and projections for the future are critically needed in order to prepare providers, governments and donors If the need for second- line ART is based...

Ngày tải lên: 20/06/2014, 08:20

... access and use in Asia and southern Africa J Int AIDS Soc 2011, 14(1):7 doi:10.1186/1758-2652-14-17 Cite this article as: and : A biregional survey and review of first- line treatment failure and second- line ... (TApHOD), and The International Epidemiologic Databases to Evaluate AIDS (IeDEA) Southern Africa Paediatric Group: A biregional survey and review of first- line treatment failure and second- line ... and Journal of the International AIDS Society 2011, 14:17 http://www.jiasociety.org/content/14/1/17 Page of Table First- and second- line antiretroviral therapy regimens in use in TREAT Asia and...

Ngày tải lên: 20/06/2014, 08:20

... Paris (1899) Moser, J: Stable and Random Motions in Dynamical Systems Princeton University Press, Princeton (1973) 10 Hofer, H, Wysocki, K: First order elliptic systems and the existence of homoclinic ... A and L Besides that, in some particular case, we obtained the uniqueness of homoclinic solution for the first time Now we present some basic hypotheses on L and W in order to announce our first ... symmetric and positive definite matrix for all n Î Z, W(n, xn) = a(n)V(xn), and a: R ® R+ is continuous and V Î C1(RN, R) The forward difference operator Δ is defined by Δxn = xn+1 - xn and Δ2xn...

Ngày tải lên: 20/06/2014, 21:20

... Homoclinic solutions for a class of the second order Hamiltonian systems J Differ Equ 219, 375–389 (2005) Mawhin, J, Willem, M: Critical Point Theory and Hamiltonian Systems Springer, New York (1989) ... of nonlinear second order difference equations Adv Differ Equ 2005, 173–192 (2005) Tang, XH, Lin, XY, Xiao, L: Homoclinic solutions for a class of second order discrete Hamiltonian systems J Differ ... nonautonomous second- order Hamilto-nian systems with a coercive potential J Math Anal Appl 351, 586–594 (2009) 11 Xue, YF, Tang, CL: Existence of a periodic solution for subquadratic second- order discrete...

Ngày tải lên: 20/06/2014, 22:20

... robust control of MIMO fractional order systems The first one is a straightforward extension of Theorem to handle uncertain polytopic fractional systems (7) In the second one, elimination lemma is ... theorem proposed in [4] and theorem proposed in section Feedback stabilisation of polytopic fractional order systems are applied to compute a stabilising pseudo-state feedback for model (21-22) ... integer order systems stability can be checked via the location of the eigenvalues of the pseudo-state matrix A in the complex plane This result was extended to LTI commensurate fractional order systems...

Ngày tải lên: 20/06/2014, 22:20

... 1])} In other words, z(t) has a first- order derivative on [0, 1] which is absolutely continuous in the norm of H and z (0) = z’(0) = 0, Az(t) Î L (H, [0, 1]) and Z∗ = L0 ∗ Z = {l[z], z(1) − hz ... ν+1 (z) = zJν (z) − (ν + 1)Jν+1 (z) As the integrand is an odd function the order of its numerator in the vicinity of zero is O(zν+1), and the order of its denominator is O(zν), the integral along ... Furthermore, if z = u + iv, then for large |v| and u ≥ 0, the integrand will be of order O (e|v|(2t-2)) That is, for a given value of AN, the integrals along the upper and lower sides of C go to zero as...

Ngày tải lên: 21/06/2014, 02:20

... solutions to second order linear difference equations in the first case For the second case, we leave it to the second part of this paper: Error Bound for Asymptotic Solutions of Second- order Linear ... solutions to second- order differential equations It should be pointed out that similar method appeared in some early papers, such as Spigler and Vianello’s papers 6–9 In Wong and Li’s second paper ... 1911 R Wong and H Li, “Asymptotic expansions for second- order linear difference equations,” Journal of Computational and Applied Mathematics, vol 41, no 1-2, pp 65–94, 1992 R Wong and H Li, “Asymptotic...

Ngày tải lên: 21/06/2014, 11:20