... Structure Systems, SlidingModeand Nonlinear Control Lecture Notes in Controland Information Sciences, vol 274 Springer, New York (1999) Misawa, E.A.: Discrete time slidingmode control: The linear ... References Utkin, V.I.: Sliding Modes in Control Optimization Springer, Berlin (1992) Edwards, C., Spurgeon, S.: SlidingMode Control: Theory and Applications Taylor and Francis, London (1998) ... order sliding modes, differentiation and output-feedback control International Journal of Control 76, 924–941 (2003) 14 Wang, B., Yu, X., Chen, G.: Discretization behaviors of slidingmode control...
... Chapters and 6, and the first part of Chapter To really master a subject, a continuous interplay between skills and knowledge must take place By studying and reviewing many solved problems and seeing ... SIGNALS AND SYSTEMS (4 Fig 1-25 [CHAP SIGNALS AND SYSTEMS 1.8 Show that (a) If x(t) and x [ n ] are even, then (1.75a) ( I 75b) ( b ) If x(t) and x[n] are odd, then x(0) = and ~ ( rdr = ) and x[O] ... systems and explains the unit impulse response of the system and convolution operation Chapters and explore the transform techniques for the analysis of LTI systems The Laplace transform and its...
... independent and identically distributed (i.i.d.) RV This paper is organized as follows The MIMO-OFDM system model is described in Section 2, and the SINR degradation due to the frequency offset and channel ... offset and channel estimation errors, is derived in Section The numerical results are given in Section 5, and the conclusions are presented in Section Notation (·)T and (·)H are transpose and complex ... identity matrix, and ON is the N × N all-zero matrix 0N is the N × all-zero vector a[i] is the ith entry of vector a, and [B]mn is the mnth entry of matrix B E{x} and Var{x} are the mean and variance...
... 5.1 Based on the control law t will be robust stable if αcontroller < where αcontroller is order of controller and φ∗ 2φ∗ , π 5.2 inf{φ1 , , φN } Proof Due to applying the control law u as ... controller, and FO plant with FO controller In this paper, we focus on using FO controllers for unstable FO systems and we propose a simple fractional-order controller to control of fractional-order ... closed-loop control systems, there are four situations They are IO integer order plant with IO controller, IO plant with FO fractional order controller, FO plant with IO controller, and FO plant...
... 2π-periodic solution Theorem 1.2 Assume that the linear problem 1.14 has only the trivial 2π-periodic solution u and the condition G2 holds Then the Hamiltonian system 1.5 has at least one 2π-periodic solution ... Dimensional Morse Theory and Multiple Solution Problem, Birkhauser, Berlin, ¨ Germany, 1991 18 P H Rabinowitz, “On subharmonic solutions of Hamiltonian systems,” Communications on Pure and Applied Mathematics, ... E | Lu 0} It is easily seen that u ∈ N L if and only if u ∈ E is a 2π-periodic solution of the following linear problem: u ˙ JA t u 1.14 It is a standard result that the self-adjoint operator...
... users The frequency band is divided into Q bands and users transmit their data by hopping randomly from one band to another When more than one user transmit over the same band simultaneously, ... [0, 2π) and a j is the channel amplitude If a line-of-site (LOS) exists between the transmitter and the receiver, the channel amplitude is modeled as a Rician random variable [10] In this model, ... partial-band interference,” IEEE Transactions on Communications, vol 33, no 8, pp 767–774, 1985 [7] G L Stuber, J W Mark, and I F Blake, “Diversity and coding for FH/MFSK systems with fading and jamming—part...
... Mathematics and Computation, vol 60, no 2-3, pp 285–298, 1994 14 R Qu and R P Agarwal, “Improved error bounds for freezing solutions of linear boundary value problems,” Applied Mathematics and Computation, ... the solution of 2.9 with the initial conditions 0, for − m ≤ k ≤ − 1, v k for k 2.12 In order to state and prove our main results, we need some suitable lemmas and theorems Lemma 2.2 see The solution ... 3.1 Under conditions 2.4 and 2.5 , let the inequality qψ < 3.5 holds Then for any solution x k of problem 2.13 – 2.3 , the estimate ≤ C0 ϕ x k is valid, where C0 const., and ϕ −1 ψ − qψ f ∞, 3.6...
... Helsinki, Finland, June 2001 [22] M Abramowitz and I A Stegun, Handbook of Mathematical Functions, Dover, New York, NY, USA, 1972 [23] I S Gradshteyn and I M Ryzhik, Table of Integrals, Series and Products, ... beamforming model with arrival angle θ = 30◦ where E{G(θ, ψ)} and E{G2 (θ, ψ)} are the first and second moments of the antenna gain, respectively, averaged with respect to uniformly distributed random ... sinc2 (ε) where Gt (θ k − π, θ k − π) and Gr (θ k , ψ) are the transmit and receive beamforming gain, respectively; θ k − π and θ k are the transmit angle and arrival angle from the kth user to...
... formulas for the solution of the homogeneous and nonhomogeneous problems (1.1), (1.2) 3.1 Representation of the solution of homogeneous initial problem Consider at first homogeneous problem (1.1), ... matrix relative to discrete delayed equations and give an J Dibl´k and D Y Khusainov ı analogue of formula (1.6) for homogeneous and nonhomogeneous problems (1.1), (1.2) with pure delay Discrete ... Then the solution of the problem (3.1), (3.2) can be expressed as x(k) = eBk ϕ(−m) + m B(k−m− j) em Δϕ( j − 1), (3.3) j =−m+1 where k ∈ Z∞m − Proof We are going to find the solution of the problem...
... regularity of solutions for nonlinear a elliptic systems in RN , Atti Sem Mat Fis Univ Modena 50 (2002), no 1, 161–172 P Dr´ bek and J Hern´ ndez, Existence and uniqueness of positive solutions for ... a.e in Ω, (2.4) (iii) m{x ∈ Ω : b(x) > 0} > and ≤ b(x) ≤ B1 ws (x) a.e in Ω, (2.5) where B1 > and s ∈ (max{ p, q},N) (H3) c1 (·) and c2 (·) are positive and continuous functions defined on RN with ... corresponding to λ1 If uv ≥ a.e., then the right-hand sides of (1.1) and (1.2) are equal, so (u,v) is an eigenfunction of (1.1), and we are done On the other hand we cannot have uv < on a set of positive...
... content and proteinase activity in discs from different rabbits, three disc hemisections from each rabbit were treated with hormones and one served as control MMP levels and the GAG and collagen ... in the presence of the control analog and only by relaxin (40% of controland β-estradiol alone; P < 0.0001, Fisher's test) or β-estradiol plus relaxin (60% versus controland β-estradiol alone; ... relaxin-induced MMPs to the loss of collagen and GAGs, 24 hemisections from six rabbits were cultured with the MMP inhibitor GM6001 or itscontrol analog hours before and during the hormone treatments The...
... years, international standards, ISO14040 [12] on principles and framework, and ISO14044 [13] on requirements and guidelines were established. These standards were complemented by operational guides, such as Guinée [14], and ... capacity involves a number of sophisticated controland management systems, including pumps, control valves, and other mechanical and electrical components. As such, there is insufficient representation on the elementary input‐output ... in Southeast Asia and contributed about 11% GDP in 2006. The increase in extreme weather events (such as droughts, floods, and tropical cyclones, and warming), and forest fires due to climate change seriously threaten the export ...
... Kreyszig (1979) for analytical solutions, Numerical Analysis text books like Gerald and Wheatley (1989), Rice and Do (1995) and Ray (2000) for the numerical solutions for such problems 1.2 Distributed ... nature of the DPS and design the controller The control performance with these controllers suffers from strong interactions and apparent time delays due to the underlying diffusion and convection ... feedback controller designed based on forward path model (GF) only Case 2: Only feedback control The feedback controller is designed using the overall process model Case 3: Only feedback control...
... steady-state problem of (3.1) possesses the trivial solution (0,0) and the semitrivial solutions (a1 =b1 ; 0) and (0; a2 =c2 ) If a2 =a1 ¡c2 =c1 then it has also the positive constant steady-state solution ... two Volterra–Lotka models in ecology for studying the global stability and instability of the various constant steady-state solutions The stability conditions for these model problems are given ... Proof It is known that if problem (1.1) has a pair of coupled upper and lower solutions ˜ uˆ and hypothesis (H) holds in the sector u; ˆ u˜ then there exists a unique solution u; ˆ u˜ , where...
... when n = 2; it has been proved for n = by Davenport and Heilbronn [7] in case K = Q, and by Datskovsky and Wright in general [6]; and for n = 4, and K = Q by Bhargava [3], [2] A weaker version of ... “square” box (all sides equal) around the origin — but indeed they apply, with uniform implicit constant, to a square box centered at any point Now we tile the skew box (2.7) by square boxes of ... unless either |H| = 2, or |Q| = |H| and |H| = 3, In case |Q| = 2, |H| = 4, the group G is nilpotent and Proposition 2.8 is proved by Kl¨ners and Malle u On the other hand, NK (X 1/|H| , Q)X p/(p−1)|G|...
... buying and selling equities, fit the model of the Law of Supply and Demand described in Problem 1.12? How? 131 Does a purely socialistic economic system fit the model of the Law of Supply and Demand ... following problems describe servomechanisms:Examples 1.3 and 1.5 in Problem 2.6, and Problems 2.7, 2.8, 2.17, and 2.21 38 CONTROL SYSTEMS TERMINOLOGY [CHAP 22 .6 2.30 The systems of Examples 1.2 and ... a certain number of items, and the Demander to demand a number of items The difference between the supply and the demand is the control action for this system If the control action is nonzero,...
... sufficient conditions to the existence and uniqueness of solutions through (t0, x0) and (τ0, y0) If f Î C[[t0, t0 + T] × ℝn,ℝn] and x(t) Î Cq[[t0, T], ℝ] is the solution of c Dq x = f (t, x), x(t0 ... t0 + T (2:2:6) t0 and that every solution of (2.2.6) is also a solution of (2.2.5), for detail please see [7] 2.3 ITD boundedness and Lagrange stability, fundamental Lemmata and Lyapunov-like ... derivatives and integrals leads to a formulation of certain real-world problems in different areas [1,6] Fractional derivatives and integrals are also useful in pure mathematics and in applications...
... hợp modem dòng mà sử dụng để truyền liệu qua đường dây điện thoại Sự tiến hóa dòng modem từ V.26 (tốc độ liệu 2400bps, băng thông 1200Hz), V.27 modem (tốc độ liệu 4800bps, băng thông 1600Hz), modem ... hóa tốt Theo lý thuyết giới hạn số bits/ký tự entropy có giá trị 1.469 bits/ký tự Entropy nguồn định suất kênh truyền Nếu đưa mức entropy cao hơn, giảm số bits/ký tự xuống thấp có lẽ đạt giới ... Sơ đồ mã hóa yều cầu trung bình 1.65 bits/ký tự Nếu mã hóa ký tự trực tiếp mà không xét đến xác suất, sơ đồ mã hóa là: AA 00 AB 01 BA 10 BB 11 Như cần bits/ký tự Cơ chế mã hóa yêu cầu xem xét...
... creatinine and uric acid concentrations, were measured using standard methods in the Clinical Laboratory Department of Nihon University Hospital [11] Plasma BNP levels were measured in NT subjects and ... closed triangle) Boxes, the primers (PCR-SSCP); double underlining, the primers (sequence and genotyping); overlining, ATG initiation codon; Underlining, the variable number of tandem repeat (VNTR) ... Sci 2007, tion between the genotype and the BMI among the Table Genotype distribution in NT subjects and EH patients Table The association between genotype and phenotype Table Plasma BNP levels...