... interest of this paper is concerned with thepositivity and stabilityof solutions independent of the sizes of the delays and also beingindependent of eventual coincidence of some values of delays ... investigates the global stability and the global asymptotic stability independent of thesizes of the delays of linear time-varying Caputo fractional dynamic systemsof real fractionalorder ... in dynamic systems, ” International Journal ofSystems Science, vol. 14, no. 4, pp. 367–383,1983.25 M. De la Sen and N. Luo, “On the uniform exponential stabilityof a wide class of linear...
... concludes the proof. 4 Journal of Inequalities and Applications3. Exponential Stabilization of a Class ofUncertain Nonlinear SystemThis section addresses the exponential stability problem of the switched ... Souza, Robust control of a class ofuncertain nonlinear systems, ” Systems & Control Letters, vol. 19, no. 2, pp. 139–149, 1992.15 Y Y. Cao, Y X. Sun, and C. Cheng, “Delay-dependent robust ... of the robust sta bilization for a class of uncertain linear systems with multiple time-varying delays was investigated. A memoryless state-feedback controller for the robust stabilization of...
... geometric multiplicity of one. The geometric multiplicity of an eigenvalue λ of the matrix A isthe dimension of the subspace of vectors v for which Av λv.Then, our robuststability test task ... eigenvalue of matrix J. Here, we focus on the uncertain fractional-ordernonlinear systems with interval Jacobian matrix.4. RobustStabilityof FO-LTI Interval SystemFrom previous section, for the robust ... robuststability check of the uncertain fractional system, itis required to calculate the arguments of phase of eigenvalues. When there is no modeluncertainty, it is easy to find the argument of...
... stability is the stability region of nonlinear dynamical systems. Indeed, the problem of determining stability regions (regions of attraction) of nonlinear dynamical systems is of fundamental ... question ofstabilityof x¯ ( t ) involves the following two steps: 1. Determine if the y = 0 solution of Equation 3.5 is stable. 2. Show that stability (or instability) of the y = 0 solution of ... of Equation 3.5 implies stability (or instability) of x¯ ( t ) of the system (Eq. 3.1 ). φt (x)XˆUX Figure 3.2 An illustration of the defi nition of asymptotic stability. c03.indd 31c03.indd...
... and Lagrange stability and the classical notion of boundednessand Lagrange stability for fraction al order differential systems. The classical notions of boundedness and Lagrange stability are ... S, Martynyuk, AA: Stability Analysis of Nonlinear Systems. Marcel Dekker, New York (1989)11. Li, Y, Chen, YQ, Podlubny, I: Stabilityof fractional-order nonlinear dynamic systems: Lyapunov direct ... 1,50–66 (2000)19. Yakar, C: Strict Stability Criteria of Perturbed Systems with respect to Unperturbed Systems in term of Initial TimeDifference. Proceedings of the Conference on Complex Analysis...
... properties linked to the robust control of frac-tional differential systems with delays. They delt with the BIBO stabilityof bothretarded and neutral fractional delay systems. Zhang [16] established ... xn(s − rn))}ds, t > 0.4 Stability In this section we study the stabilityof the solution of the non-local problem (1)-(3)Definition 5 The solution of the non-auto nomous linear system ... existence of a unique solutionfor a class of nonlinear non-autonomous system of Riemann-Liouville fractionaldifferential systems with different constant delays and non-local condition is. Thestability...
... of fractional system stability, lin-ear time invariant fractional systemsrobuststability remains an open problem. Amongthe existing results and only for interval fractional systems, the stability ... present two results on robust control of MIMO fractional order systems. The first one is a straightforward extension of Theorem 3 to handle uncertain polytopic fractional systems (7). In the second ... 2011:35http://www.advancesindifferenceequations.com/content/2011/1/35Page 6 of 10 ConclusionIn this article, a solution is proposed for the robuststability and stabilisation problems of fractional order linear systems subjected to convex polytopic uncertainties....
... Boundary Value Problems2. The Proof of TheoremThe proof of Theorem 1.1 is based on Moser’s small twist theorem for reversible mapping. Itmainly consists of two steps. The first one is to find ... bìS1be a nite part of cylinder C S1ìR,whereS1 R/2Z,wedenoteby the class of Jordan curves in C that are homotopic to the circle r constant. The subclass of Γ composed of those curves lying ... independent of . Hindawi Publishing CorporationBoundary Value ProblemsVolume 2011, Article ID 845413, 18 pagesdoi:10.1155/2011/845413Research ArticleLagrangian Stabilityof a Class of Second-Order...
... the study ofstability and estimates of solutions of 1.1.2. Exponential Stability and Estimates of the Convergence of Solutions to Stable Systems First we give two definitions ofstability ... exponential stabilityof system 1.1 as well ason estimates of the norms of its solutions and their derivatives in the case of exponential stability and in the case of exponential stability being ... criteria ofstability for some classes of delay neutral systems aredeveloped in 10. The stabilityofsystems 1.1 with time dependent delays is investigatedin 11. For recent results on the stability...
... investigation of the robust s tability of (i.e., that of 2.1 and 2.2 with dynamic state disturbances 2.3 and 2.4)subject to the set of constraints C. For this purpose, the state-trajectory of ... results about robuststability i.e., stability under tolerance to a certain amount of perturbations are obtained by first obtainingsufficient type stability conditions related to total stability ... ArticleTotal Stability Properties Based on Fixed PointTheory for a Class of Hybrid Dynamic Systems M. De la SenDepartment of Electricity and Electronics, Institute of Research and Development of Processes,Faculty...
... MSSV:08520582-TRƯƠNG VĂN VĨ MSSV:08520470Sau đây là bài dịch chương II trong sách “Principles of Digital Communication Systems and Computer Networks” của nhóm em.Phần I – Các hệ thống truyền thông số(Digital ... trọng cho mỗi kỹ sư truyền thông.Tài liệu tham khảoC. E. Shannon. "A Mathematical Theory of Communication." Bell System Technical Journal, Vol. 27, 1948.Tất cả các kỹ sư truyền thông ... Shannon đặt nền móng về lý thuyết thông tin năm 1948. Cuốn sách của ông “A Maththemathical Theroy of Communication ” (Một lý thuyết toán học của sự truyền thông tin) được xuất bản trong Tạp chí...
... WLAN system with datarates of 2, 5 and 11 Mbps. The traffic is generated with large packets of size 150 bytes (12,000Simulation of Wireless Network Systems 357 systems. It can also be used ... This distribution is used to model errors that are a product of effects of a largenumber of factors. The product of a large number of positive random variates tends to havea distribution that ... (FDMA). The numberSimulation of Wireless Network Systems 367Figure 13.16 Number of video channels versus percentage of video packets within 100 msFigure 13.17 Quality of service versus MAC protocol...
... the profile. The best way to deal with large disturbances is to recalculate the profile in real-time taking the measured feedback as the initial conditions of the new profile. A better profile ... State of Motor Control Academia 31 account for this incongruity between the simulation and reality. The robustness of various control systems will be discussed throughout the remainder of Part ... This early part of this work done during the 1999-2000 academic year was conducted under a grant from Motion Control Systems Inc. (MCS) of New River, Virginia. Chapter 4 The State of Motor Control...