lyapunov s direct method for discrete time systems

... macroscopic subsystems known as compartments The range of applications of nonnegative systems and compartmental systems includes pharmacological systems, queuing systems, stochastic systems whose ... whose state variables represent probabilities , ecological systems, economic systems, demographic systems, telecommunications systems, and transportation systems, to cite but a few examples Due ... boundedness for nonlinear dynamical systems necessary for obtaining less conservative ultimate bounds for neuroadaptive controllers as compared to ultimate bounds derived using classical boundedness...

Ngày tải lên: 22/06/2014, 11:20

... strengths, and the subsystem energy dissipated Furthermore, for large-scale discrete- time dynamical systems decomposed into interconnected subsystems, dissipativity of the composite system is ... conditions for discrete- time large-scale nonlinear dynamical systems In this section, we show that vector dissipativeness (resp., geometric vector dissipativeness) of a discrete- time large-scale ... l∞ -stability of interconnected systems, IEEE Trans Circuits and Systems 23 (1976), no 5, 261–270 J Lunze, Stability analysis of large-scale systems composed of strongly coupled similar subsystems,...

Ngày tải lên: 23/06/2014, 00:20

... value problems for discrete- time linear Hamila tonian systems, Dynamic Systems and Applications (1999), no 3-4, 439–459, (Special Issue on Discrete and Continuous Hamiltonian Systems, ” R P Agarwal ... continuous -time case are valid mutatis mutandis in the discrete- time case 6 Stability zones for discrete Hamiltonian systems In the following, we will assume that (2.1) is of positive type in the sense ... systems are a subset of the symplectic systems; if we refer to [26] where systems (1.5) with real coefficients are called canonical, we may say that in the discrete- time case canonical systems...

Ngày tải lên: 23/06/2014, 00:20

... Advances in Discrete Time Systems 10 Advances in Discrete Time Systems where A, B, C and D are matrices of appropriate dimensions (i) Given a scalar γ > The descriptor system (19) is robustly admissible ... hybrid estimation for linear discrete- time systems with non- Gaussian noises and assumed that modes of the systems are not directly accessible In this regard, he proceeded to determine both estimated ... algebraic equations Hence, the descriptor system is a generalized representation of the state-space system This system appears in various physical systems In fact, descriptor systems can be found...

Ngày tải lên: 14/02/2014, 09:20

... This class essentially contains man-made systems that consist of a finite number of resources (processors or memories, communication channels, machines) shared by several users (jobs, packets, manufactured ... deals with deterministic system theory, where the systems are mostly DEDS, but continuous max-plus linear systems also are discussed in Chapter Part IV (Chapters and 8) deals with stochastic DEDS ... contributions of the book can be viewed as the first steps toward the development of a theory of linear systems on dioids Both deterministic and stochastic systems are considered Classical concepts of system...

Ngày tải lên: 19/02/2014, 03:20

... It is shown in [5] that the class of asymptotically κ-strictly pseudocontractive mappings and the class of κ-strictly pseudocontractive mappings are independent A mapping T is said to be uniformly ... modified Mann iterative processes for this class of mappings Moreover, a strong convergence theorem was also established in a real Hilbert space by hybrid projection method They proved the following ... processes for asymptotically nonexpansive mappings Proc Am Math Soc 122(3), 733–739 (1994) [11] Huang, Z: Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings Comput...

Ngày tải lên: 18/06/2014, 22:20

... Nonlinear Discrete Dynamic Systems with Gaussian or non-Gaussian Noise Kerim Demirbaş Chapter Observers Design for a Class of Lipschitz Discrete- Time Systems with Time- Delay 19 Ali Zemouche and ... Distributed Fusion Prediction for Mixed Continuous -Discrete Linear Systems 39 Ha-ryong Song, Moon-gu Jeon and Vladimir Shin Chapter New Smoothers for Discrete- time Linear Stochastic Systems with ... is very s suitable for state estimation of nonlinear dynamic systems under either missing observations or constraints imposed on state estimates The DF is much more general than grid based estimation...

Ngày tải lên: 20/06/2014, 01:20

... (2008) Observers for a class of Lipschitz systems with extension to H∞ performance analysis, Systems & Control Letters 57(1): 18–27 3 Distributed Fusion Prediction for Mixed Continuous -Discrete ... R s The set s is defined by s = x ∈ Rs : x s < +∞ Problem formulation and observer synthesis In this section, we introduce the class of nonlinear systems to be studied, the proposed state observer ... continuous -discrete systems The continuous -discrete 40 Discrete Time Systems approach allows system to avoid discretization by propagating the estimate and error covariance between observations in...

Ngày tải lên: 20/06/2014, 01:20

... Smoothers for Discrete- time Linear Stochastic Systems with Unknown Disturbances 69 Darouach, M.; Zasadzinski, M & Keller, J Y (1992) State estimation for discrete systems with unknown inputs using state ... Smoothers for Discrete- time Linear Stochastic Systems with Unknown Disturbances Akio Tanikawa Osaka Institute of Technology Japan Introduction We consider discrete- time linear stochastic systems with ... inputs disappear Thus, our algorithms are consistent with the known smoothing algorithms for systems without unknown inputs Preliminaries Consider the following discrete- time linear stochastic system...

Ngày tải lên: 20/06/2014, 01:20

... linear systems with norm-bounded and time- varying uncertainties in their matrices The design is based on a guaranteed cost 108 16 Discrete Discrete Time Systems Time Systems Fig Error variances for ... required statistic information about Kalman Filtering for Discrete Time Uncertain Systems Kalman Filtering for Discrete Time Uncertain Systems 95 noises and perturbations affecting the system A ... Filtering for Discrete Time Uncertain Systems Kalman Filtering for Discrete Time Uncertain Systems Note that Pk+1|k given by (66) satisfies (41) for any Φk and Kk In this sense, we can choose them...

Ngày tải lên: 20/06/2014, 01:20

... processes Such systems may be found in the area of mechanical systems, power systems, manufacturing systems, communications, aerospace systems, financial engineering and so on Such systems are ... systems Tracking problems with preview for systems with some mode transitions are also very important issues to research Markovian jump systems [Boukas (2006); Costa & Tuesta (2003); Costa et ... models for reference signals is not assumed on the game theoretic approach Also notice that all these works have been studied for the systems with no mode transitions, i.e., the single mode systems...

Ngày tải lên: 20/06/2014, 01:20

... 140 Discrete Time Systems Fig Responses of the system for nonlinear descriptor system in discrete time References Wu ,S. ; Okubo ,S. ; Wang,D (2008) Design of a Model Following Control System for ... of Discrete- time LTI Systems: Scaling LMI Approaches Jun Xu National University of Singapore Singapore Introduction Most physical systems have only limited states to be measured and fed back for ... of discrete- time piecewise affine systems, IFAC World Congress, Prague, Czech Xu, J & Xie, L (2005b) Non-synchronized H∞ estimation of discrete- time piecewise linear systems, IFAC World Congress,...

Ngày tải lên: 20/06/2014, 01:20

... analyzes the stability and robust stability of discrete- time delay systems Section 3.1 gives a stability condition for nominal systems and Section 3.2 extends the stability result to a case of robust ... attracted as much attention as that of continuous -time delay systems In addition, most results have focused on state feedback stabilization of discrete- time systems with time- varying delays Only ... results on observer design of discrete- time systems with time- varying delays have appeared in the literature (for example, (9)) The results in (3), (12), (14), (18) considered discrete- time systems...

Ngày tải lên: 20/06/2014, 01:20

... 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 degrees” defined for continuous -time ... 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 When the size of ... studied for continuous -time systems Ye & Jiang (1998), in which it is indicated that a class of nonlinear triangular systems T 1S proposed in Seto et al (1994) is transformable to this form The discrete- time...

Ngày tải lên: 20/06/2014, 01:20

... agents are assumed to transmit their state information in turn In Xiao & Wang (2006), some sufficient conditions for the solvability of consensus problems for discrete- time multi-agent systems with ... (5.11) 248 Discrete Time Systems 5.3 Assumptions Assumption 5.1 The desired reference x ∗ (k) for the multi-agent system is a bounded sequence and satisfies x ∗ (k + 1) − x ∗ (k) = o (1) Assumption ... 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): 497–504 URL:...

Ngày tải lên: 20/06/2014, 01:20

... control of discrete systems with time- varying delays has been researched extensively in the last few decades Especially in recent years there are increasing interests in discrete- time systems with ... This implies that the system is stable, and then the claim (3) can be established □ Remark: As to robust stability analysis of discrete time systems with poytopic-type uncertainties, robust stability ... is the control gain to be computed Stability analysis In this section, LMIs-based conditions of delay-dependent stability analysis will be considered for discrete- time systems with multiple time- varying...

Ngày tải lên: 20/06/2014, 01:20

... in subsection 5.1 5.3 Switched systems with delayed state Another class of time- varying systems is composed by the discrete- time switched systems with delay in the state vector In this case the ... precisely known or affected by uncertainties In this chapter the class of uncertain discrete- time systems with state delay is studied For these systems, the techniques for analysis and design ... cases such as time- varying delay or uncertain systems For these systems, most of the applied techniques for robust stability analysis an robust control design are based on Lyapunov- Krasovskii (L-K)...

Ngày tải lên: 20/06/2014, 01:20

... linear discrete- time descriptor subsystems Concerning descriptor systems, they are also known as singular systems or implicit systems and have high abilities in representing dynamical systems [1, ... linear descriptor systems in discrete- time domain Since the existing results for stability of switched state space systems suggest that the common Lyapunov functions condition should be less conservative ... the stability conditions for switched systems, Nonlinear Analysis: Hybrid Systems 2: 697–705 Ibrir, S (2008) Stability and robust stabilization of discrete- time switched systems with time- delays:...

Ngày tải lên: 20/06/2014, 01:20

... G S Zhai, D R Liu, J Imae, (1998) Lie algebraic stability analysis for switched systems with continuous -time and discrete- time subsystems, IEEE Transactions on Circuits and Systems II-Express ... transmission systems in access networks of telephone exchanges in ADSL (asymmetric Digital Subscriber Lines) and VDSL (Very high-speed Digital Subscriber Lines) transmission technologies, in systems ... Introduction Switched systems are a class of hybrid systems consisting of several subsystems (modes of operation) and a switching rule indicating the active subsystem at each instant of time In recent...

Ngày tải lên: 20/06/2014, 01:20

... Signals (CSS'10) ISBN: 978-960-474-208- 0, Corfu, 2010 WSEAS Press 22 Adaptive Step-size Order Statistic LMS-based Time- domain Equalisation in Discrete Multitone Systems Suchada Sitjongsataporn ... Sitjongsataporn, S & Yuvapoositanon, P (2007) An Adaptive Step-size Order Statistic Time Domain Equaliser for Discrete Multitone Systems, Proceedings of IEEE Int Symp on Circuits and Systems (ISCAS), pp ... data model is based on a finite impulse response (FIR) model of transmission channel and will be used for equaliser in DMT-based systems The basic data model is assumed that the transmission channel,...

Ngày tải lên: 20/06/2014, 01:20