discrete time systems and fixed point mathematics

... linear time- delay time- invariant systems subject to multiple internal and external incommensurate point delays,” Applied Mathematics and Computation, vol 190, no 1, pp 382–401, 2007 32 P N Dutta and ... stability 1.1 Notation C , R, and Z are the sets of complex, real, and integer numbers, respectively Fixed Point Theory and Applications R and Z are the sets of positive real and integer numbers, respectively, ... of fixed point theory have been investigated in 35, 36 Fixed point theory has also been employed successfully in stability problems of dynamic systems such as time- delay and continuous -time/ digital...

Ngày tải lên: 21/06/2014, 05:20

... only at discretetime instants, and it is sometimes more convenient to model processes in discrete- time for ease of control design Thus, adaptive control and NN control of nonlinear discrete- time ... adaptive control of linear continuous -time systems, there are lots of counterpart results for linear discrete- time systems, adaptive control of nonlinear discrete- time systems have been considerately ... in discrete- time As a matter of fact, many techniques developed for continuous -time systems cannot be applied in discrete- time, especially when the systems to be controlled are nonlinear Discrete- time...

Ngày tải lên: 14/09/2015, 08:39

... distribution, and reproduction in any medium, provided the original work is properly cited 30 Advances in Discrete Time Systems Advances in Discrete Time Systems is used for time- delay systems In ... Generalized H2 Control for Discrete- Time Fuzzy Systems with Infinite-Distributed Delays 53 Jun-min Li, Jiang-rong Li and Zhi-le Xia Section Nonlinear Systems 75 Chapter Discrete- Time Model Predictive ... Fu and Magdi S Mahmoud Chapter Stability Analysis of Nonlinear Discrete- Time Adaptive Control Systems with Large Dead-Times - Theory and a Case Study 117 Mario A Jordan, Jorge L Bustamante and...

Ngày tải lên: 14/02/2014, 09:20

... Lipschitz Discrete- Time Systems with Time- Delay 19 Ali Zemouche and Mohamed Boutayeb Chapter Distributed Fusion Prediction for Mixed Continuous -Discrete Linear Systems 39 Ha-ryong Song, Moon-gu Jeon and ... Damián Marelli, and Minyue Fu Chapter Kalman Filtering for Discrete Time Uncertain Systems Rodrigo Souto, João Ishihara and Geovany Borges Part Chapter Chapter Discrete- Time Fixed Control 109 ... of Discrete- time LTI Systems: Scaling LMI Approaches 141 Jun Xu Chapter 10 Discrete Time Mixed LQR/H ∞ Control Problems Xiaojie Xu Chapter 11 Robust Control Design of Uncertain Discrete- Time Systems...

Ngày tải lên: 20/06/2014, 01:20

... Design for a Class of Lipschitz Discrete- Time Systems with Time- Delay and M (K1 , , Kq ), Σ, Υ are defined in (49), (53) and (55) respectively Using the Schur Lemma and the notation R = L T P, the ... for discrete- time systems was presented in (Song et al 2009) In this paper, we generalize the results of (Song et al 2009) on mixed continuous -discrete systems The continuous -discrete 40 Discrete ... monotone nonlinearities, Systems and Control Letters 50: 319–330 38 Discrete Time Systems Germani, A., Manes, C & Pepe, P (2002) A new approach to state observation of nonlinear systems with delayed...

Ngày tải lên: 20/06/2014, 01:20

... ⎥ ⎥ ⎦ O O O 68 Discrete Time Systems Conclusion In this chapter, we considered discrete- time linear stochastic systems with unknown inputs (or disturbances) and studied three types of ... fixed -point smoother Theorem 3.1 If Ct Ht and Rt are commutative, i.e., Ct Ht Rt = Rt Ct Ht , then we have the optimal fixed -point smoother for (21)-(22) as follows: (26) 58 Discrete Time Systems ... Maryland Chang, K C.; Saha, R K & Bar-Shalom, Y (1997) On Optimal track-to-track fusion, IEEE Transactions on Aerospace and Electronic Systems, Vol 33, No 4, pp 1271–1275 52 Discrete Time Systems...

Ngày tải lên: 20/06/2014, 01:20

... set (1) (2) 96 Discrete Discrete Time Systems Time Systems where xk ∈ R nx is the state vector, yk ∈ R ny stands for the output vector and wk ∈ R nx and vk ∈ R ny are the output and measurement ... Filtering for Discrete Time Uncertain Systems Kalman Filtering for Discrete Time Uncertain Systems where Wk , Vk and X0 denotes the noises and initial state covariance matrices and Sk stands for the ... ΔDv,k , (19) 98 Discrete Discrete Time Systems Time Systems where Bw,k , Bv,k , Dw,k and Dv,k denote the nominal matrices Their uncertainties are represented by ΔBw,k , ΔBv,k , ΔDw,k and ΔDv,k respectively...

Ngày tải lên: 20/06/2014, 01:20

... communications, aerospace systems, financial engineering and so on Such systems are classified into continuous -time [Boukas (2006); Dragan & Morozan (2004); Mariton (1990); 112 Discrete Time Systems Souza ... continuousand discrete- time linear time- varying systems by a game theoretic approach [Cohen & Shaked (1997); Shaked & Souza (1995)] Recently the author has extended their theory to linear impulsive systems ... tracking problems with preview by state feedback and output feedback for linear discrete- time Markovian jump systems on the finite time interval and derive the forms of the preview compensator...

Ngày tải lên: 20/06/2014, 01:20

... similar to Theorem 156 Discrete Time Systems Theorem The discrete- time system (67)-(69) is stabilized by (3) and satisfies H∞ , if there exist a matrix P > defined in (8) and R, such that ⎧ ⎨ (Θ1 ... generate 5000 stabilizable and detectable systems of dimension n = 4(6, 6, 6, 7, 7), m = 2(3, 1, 5, 4, 3) and l = 2(3, 5, 1, 3, 4) Output Feedback Control of Discrete- time LTI Systems: Scaling LMI ... linear discrete- time systems, IEEE Trans on Automatic Control 50(2): 250–254 Bara, G I & Boutayeb, M (2006) A new sufficient condition for the output feedback stabilization of linear discrete- time systems, ...

Ngày tải lên: 20/06/2014, 01:20

... Uncertain Discrete- Time Singular Systems with Time- Delays, Journal of Computational and Applied Mathematics, Vol.217, 194-211 [11] Mahmoud, M.S (2000) Robust Control and Filtering for Time- Delay Systems, ... uncertain discrete- time systems with time- varying delays have given in the literature In this paper, we consider the stabilization for a nominal discrete- time system with time- varying delay and robust ... continuous -time delay systems In addition, most results have focused on state feedback stabilization of discrete- time systems with time- varying delays Only a few results on observer design of discrete- time...

Ngày tải lên: 20/06/2014, 01:20

... for modeling continuous -time and discrete- time systems, respectively Even some concepts for discrete- time systems have very different meaning from those for continuous -time systems, e.g., the “relative ... nonlinear uncertainties in discrete- time As a matter of fact, unlike in continuous -time systems, it is much more difficulty in discrete- time systems to deal with 208 Discrete Time Systems nonlinear uncertainties ... defined for continuous -time and discrete- time systems have totally different physical explanations Cabrera & Narendra (1999) Therefore, nonlinear adaptive control of discrete- time systems needs to...

Ngày tải lên: 20/06/2014, 01:20

... errors, random noise, communication limits, time delay, and so on, may exist in multi-agent systems Especially, the decentralized adaptive control problems for the discrete- time multi-agent systems ... technical difficulties due to the nature of discrete- time systems and lack of mathematical tools for analyzing stability of discrete- time nonlinear systems In this chapter, within a unified framework ... http://dx.doi.org/10.1080/00207170701218333 254 Discrete Time Systems Ma, H B (2008b) An “impossibility” theorem on a class of high-order discrete- time nonlinear control systems, Systems & Control Letters 57(6):...

Ngày tải lên: 20/06/2014, 01:20

... nominal values of Mb and Ma at the start point O, and MbΔ− , MbΔ+ ,MaΔ+ and MaΔ− are positive and negative variations at instants t A and t B on the points A and B of Fig Here δ(t − ti ) represents ... equilibrium point and its magnitude depends on the upper bounds of the measure noises and on the sampling time This signalizes the quality of the control performance 278 Discrete Time Systems fV ... discrete- time systems with time varying delay in the state In these papers above the time- varying delay of discrete systems is assumed to be unique in state variables On the other hand, in practice...

Ngày tải lên: 20/06/2014, 01:20

... of uncertain time- delay systems, Proceedings of IEEE International Symposium on Circuits and Systems, vol 4, Kobe, pp 3407-3050 294 Discrete Time Systems Chang, Y C., Su, S F., and Chen, S S ... have been proposed for discrete- time singular systems with time- invariant delay Discrete- time switched systems with delayed state have been studied by Hetel et al (2008) and Ibrir (2008) The former ... of discrete- time systems with time- varying state delay, IEE ProceedingsControl Theory and Applications 151, no 6, 691-698 Guan, X, Lin, Z and Duan, G (1999) Robust guaranteed cost control for discrete- time...

Ngày tải lên: 20/06/2014, 01:20

... discrete- time switched systems with time- delays: LMI approach, Applied Mathematics and Computation 206: 570–578 Kandanvli, V K R & Kar, H (2009) Robust stability of discrete- time state-delayed systems ... Journal of Computational and Applied Mathematics 217: 194–211 326 Discrete Time Systems Mao, W.-J & Chu, J (2009) D -stability and D -stabilization of linear discrete time- delay systems with polytopic ... ≥ Hence, the grey discrete time system (1) is asymptotically stable by Lemma 2.1 Grey discrete time systems with time- delay Considering the grey discrete time system with a time- delay as follows:...

Ngày tải lên: 20/06/2014, 01:20

... (1998) Lie algebraic stability analysis for switched systems with continuous -time and discrete- time subsystems, IEEE Transactions on Circuits and Systems II-Express Briefs, Vol 53, No 2, Feb 2006, ... Filtered MultiTone modulation (FMT) and Tsym = 366 Discrete Time Systems Fig SNR comparison of upstream and part of downstream frequency bands of ADSL2+ technology with and without additional digital ... 2007), the one based on multiple Lyapunov 352 Discrete Time Systems functions approach (Ji et al., 2004) is much simpler and more practical, but discrete- time case was not considered Motivated by...

Ngày tải lên: 20/06/2014, 01:20

... investigation of bifurcations of fixed points and periodic points due to the discrete- time dynamical system A fixed point and a periodic point correspond to non-oscillatory and periodic oscillatory responses ... and μ b (n ) at the different of initial step-size μ w0 and μ b0 are presented with the fixed at the adaptation parameters αw and αb in Fig and Fig and with the different αw and αb in Fig 10 and ... y and z at discrete time t Although the response of a neuron or an inhibitor is formed by a series of points because of its discrete- time dynamics, we drew lines between temporally adjacent points...

Ngày tải lên: 20/06/2014, 01:20

... Conf on Bio-inspired Systems and Signal Processing, INSTICC Press, Valencia, pp 159–162 424 Discrete Time Systems Fujimoto, K., Musashi, M & Yoshinaga, T (2011a) Discrete- time dynamic image segmentation ... , and l j are the sampling time, the expected sojourn time, and the predefined threshold of the transition probability, respectively For example, the “normal-to-normal’’ 436 Discrete Time Systems ... 0.875 and φ = 0.8 such that a three-phase 25-periodic point occurred in the asymmetric three-coupled system 420 Discrete Time Systems (a) CT image (b) Binarization (c) Output images in time series...

Ngày tải lên: 20/06/2014, 01:20

... feature of discrete event systems is that they are discrete in both their state space and in time The modeling formalism of discrete event systems is suitable to represent man-made systems such ... Cankaya University Switzerland Germany Turkey Introduction 1.1 Definitions and basic properties Discrete event systems (DES) constitute a specific subclass of discrete time systems whose dynamic behavior ... Electronic Systems, vol 34, no 4, pp 1293—1311 25 Discrete Time Systems with Event-Based Dynamics: Recent Developments in Analysis and Synthesis Methods Edgar Delgado-Eckert1 , Johann Reger2 and Klaus...

Ngày tải lên: 20/06/2014, 01:20

... continuous and discrete time dynamical systems may not be suitable for the same or similar tasks in the case of discrete event systems Thus, one of the main challenges in the field of discrete event systems ... deterministic and stochastic Internet control congestion with discrete- time and delay is studied Section presents the deterministic and stochastic economic games with discrete- time and delay In ... linearized system in the fixed point of the analyzed system Discrete- time dynamical systems 2.1 The definition of the discrete- time, deterministic and stochastic systems We intuitively describe...

Ngày tải lên: 20/06/2014, 01:20