discrete time systems and fixed point mathematics

... naturally discrete-time because a computer executesprogram code at discrete points of time Theory of discrete-time dynamicsignals and systems is useful in design and analysis of control systems, ... low-frequent discrete-time signal • Section 4, Difference equations, defines the most basic discrete-timesystem model type — the difference equation It plays much the same rolefor discrete-time systems ... Dynamics of discrete-time models, analyzes the dynamics ofbasis systems, namely gains, integrators, first order systems and time-delays, with emphasis on the correspondence between pole andstep-response

Ngày tải lên: 26/06/2022, 11:46

... Control for Linear Discrete-Time Systems 3 Xiaojie Xu Chapter 2 Robust Control Design of Uncertain Discrete-Time Descriptor Systems with Delays 29 Jun Yoneyama, Yuzu Uchida and Ryutaro Takada ... Generalized H2 Control for Discrete-Time Fuzzy Systems with Infinite-Distributed Delays 53 Jun-min Li, Jiang-rong Li and Zhi-le Xia Section 2 Nonlinear Systems 75 Chapter 4 Discrete-Time Model Predictive ... Fu and Magdi S Mahmoud Chapter 5 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

... Trang 1DISCRETE TIME SYSTEMSEdited by Mario A Jordán and Jorge L Bustamante Trang 2Discrete Time SystemsEdited by Mario A Jordán and Jorge L Bustamante Published by ... Lipschitz Discrete-Time Systems with Time-Delay 19 Ali Zemouche and Mohamed Boutayeb Distributed Fusion Prediction for Mixed Continuous-Discrete Linear Systems 39 Ha-ryong Song, Moon-gu Jeon and Vladimir ... Eduardo Rohr Damián Marelli, and Minyue Fu Kalman Filtering for Discrete Time Uncertain Systems 93 Rodrigo Souto, João Ishihara and Geovany Borges Discrete-Time Fixed Control 109 Stochastic Optimal

Ngày tải lên: 20/06/2014, 01:20

... multi-agent systems with switching topology and time-varying delays havebeen presented by using matrix theories In Moreau (2005), a discrete-time network model of agents interacting via time-dependent ... al.(2006)), and the existing work mainly focused on deterministic continuous-time systems,especially chaotic systems, by constructing certain update laws to deal with parametricuncertainties and applying ... distributed agentswith ability of adaptation and learning Up to now, there are limited work on decentralizedadaptive control for discrete-time multi-agent systems The theoretical work in this chapter

Ngày tải lên: 20/06/2014, 01:20

... collection of points in phase space, in contrast to a trajectory curve for acontinuous-time system A basic and prominent theoretical difference between discrete-timeand continuous-time dynamical systems ... theorem and global attractor theoryetc On the other hand, analytical theory on chaotic dynamics has been developed morethoroughly for discrete-time systems (maps) than for continuous-time systems ... systems ofequations with discrete time and delay and their associated stochastic models 7 Acknowledgements The research was done under the Grant with the title "The qualitative analysis andnumerical

Ngày tải lên: 20/06/2014, 01:20

... method for monotone variational inequalities and fixed point problems Fixed Point Theory and Applications 2011 2011:53. Submit your manuscript to a journal and benefi t from: 7 Convenient online submission ... common fixed points of infinite nonexpasnsive mappings and applications Taiwan J Math 5, 387 –404 (2001) 31 Yao, Y, Liou, Y-C, Yao, J-C: Convergence theorem for equilibrium problems and fixed point ... nonexpansive mappings Fixed Point Theory and Applications 2007, 12 (2007) Article ID 64363 32 Goebel, K, Kirk, WA: Topics in Metric Fixed Point Theory In Cambridge Studies in Advanced Mathematics, vol

Ngày tải lên: 20/06/2014, 22:20

... mappings{A k}N k=1and a system of bifunctions{f k}N k=1satisfying certain conditions, and the common fixed-point problem (P2) for a family of uniformly quasi-j-asymptotically nonexpansive and locally ... → Cbe a family of mappings The common fixed-point problem (P2) for{S i}∞ i=1is to seek an element inF, whereF =∞ i=1 F(S i)and F (Si) is the set of fixed points of Si Motivated by the works in ... which implies that ¯u = xand f0= J¯u It follows from Remark 2.1(iv) and (v) that E* has the Kadec-Klee property, and so Jy n k → J¯u by (2.4) and (2.5) By Remark 2.1(vii) and (ii), we have y n k

Ngày tải lên: 21/06/2014, 01:20

... inequalities and fixed point problems Lu-Chuan Ceng1,2, Qamrul Hasan Ansari3, Ngai-Ching Wong4*and Jen-Chih Yao4,5 * Correspondence: wong@math. nsysu.edu.tw 4 Department of Applied Mathematics, ... real Hilbert space whose inner product and norm are denoted by〈·,·〉 and || · ||, respectively, and C is a nonempty closed convex subset of H The set of fixed points of a mapping S is denoted by ... intermediate sense, fixed point, monotone mapping, strong convergence, demiclo-sedness principle 1 Introduction Let H be a real Hilbert space whose inner product and norm are denoted by〈·,·〉 and || · ||,

Ngày tải lên: 21/06/2014, 01:20

... mixed equilibrium problems and fixed point problems Nawitcha Onjai-uea1,3, Chaichana Jaiboon2,3*and Poom Kumam1,3 * Correspondence: chaichana. j@rmutr.ac.th 2 Department of Mathematics, Faculty of ... Hilbert space H: min x ∈F 1 2Ax, x − x, b, where F is the fixed point set of a nonexpansive mapping S defined on H and b is a given point in H A linear-bounded operator A is strongly positive ... common element of the set of fixed points of a nonexpansive mapping and the set of solutions of variational inequalities for a ξ-inverse-strongly monotone mapping, Takahashi and Toyoda [6] introduced

Ngày tải lên: 21/06/2014, 01:20

... equilibrium problems and fixed point problems: A new iterative method, some comments and applications Zhenhua He1and Wei-Shih Du2* * Correspondence: wsdu@nknucc. nknu.edu.tw 2 Department of Mathematics, ... subset of H and T : K ® H be a mapping In this paper, the set of fixed points of T is denoted by F(T) We use symbols ® and ⇀ to denote strong and weak convergence, respectively For each point xÎ ... zero vectorθ, whose inner product and norm are denoted by〈·, ·〉 and || · ||, respectively The sym-bolsN and ℝ are used to denote the sets of positive integers and real numbers, respec-tively Let

Ngày tải lên: 21/06/2014, 01:20

... motivate, by Tada and Takahashi26, Qin and Kang 27, and Kumamand Jaiboon28, we introduce a new shrinking projection method for finding a commonelement of the set of fixed points of strictly ... of fixed point of nonexpansive mapping and the set of solutions ofequilibrium problems in Hilbert spaces Let{x n } and {u n} be sequences generated by thefollowing iterative algorithm: Trang 4and ... Generalized Mixed Equilibrium Problems and Fixed Point Problems for Strictly Pseudocontractive Mappings Thanyarat Jitpeera and Poom Kumam Department of Mathematics, Faculty of Science, King Mongkut’s

Ngày tải lên: 21/06/2014, 05:20

... 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

... 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