state space representation of lti discrete time system
Adaptive control and neural network control of nonlinear discrete time systems
... 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 system ... discrete- time adaptive control Though for adaptive control of linear continuous -time systems, there are lots of counterpart results for linear discrete- time systems, adaptive control of nonlinear discrete- time ... control input(s) of the system to be controlled y(k) output(s) of the system to be controlled ξj (k) the jth state variable of the system to be controlled ¯j (k) ¯ ξ the vector of states defined...
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Báo cáo hóa học: " On a boundary value problem of a class of generalized linear discrete-time systems" ppt
... The aim of this article was to give necessary and sufficient conditions for existence and uniqueness of solutions for generalized linear discrete- time boundary value problems of a class of linear ... vectors the p linear independent eigenvectors of the finite generalized eigenvalues of sF-G (see [1] for an algorithm of the computation of Qp) Proof Let Q = [QpQq], where Qp ∈ Mmp and Qq ∈ Mmq ... doi:10.1186/1687-1847-2011-51 Cite this article as: Dassios: On a boundary value problem of a class of generalized linear discrete- time systems Advances in Difference Equations 2011 2011:51 Submit your manuscript...
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Báo cáo hóa học: " Research Article Absolute Stability of Discrete-Time Systems with Delay" pdf
... USA, 1978 J Dibl´k and D Ya Khusainov, Representation of solutions of discrete delayed system x k ı Ax k Bx k −m f k with commutative matrices,” Journal of Mathematical Analysis and Applications, ... stability of time- dependent difference equations in Banach spaces,” Journal of the Institute of Mathematics and Its Applications, vol 14, no 3, pp 335–346, 1974 11 S Zhang, “Estimate of total stability ... of a matrix A ∈ Mn is defined by A sup x∈Cn Ax x 2.1 Consider the nonlinear discrete- time system with multiple delays of the form m x k Al k x k − l F k, x k , x k − , , x k − m , 2.2 l where...
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PERIODIC SOLUTIONS OF A DISCRETE-TIME DIFFUSIVE SYSTEM GOVERNED BY BACKWARD DIFFERENCE pdf
... Periodic solutions of a discrete- time diffusive system One question arises naturally Does the discrete analog of system (1.1) have a positive periodic solution? The purpose of this paper is to ... prescribed common period of the parameters in (1.2) It is well known that, compared to the continuous -time systems, the discrete- time ones are more difficult to deal with To the best of our knowledge, ... the discrete- time system analogue of (1.1) Our purpose in this paper is, by using the continuation theorem of coincidence degree theory [9], to establish sufficient conditions for the existence of...
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Tài liệu ADVANCES IN DISCRETE TIME SYSTEMS docx
... then the trajectories of mean values of states of re‐ ¯ sulting closed-loop system with x = T are given in Fig Figure The trajectories of mean values of states of resulting system in Example 5.2 ... closed-loop system with x = T are given in Fig Figure The trajectories of mean values of states of resulting system in Example 5.1 Example 5.2 Consider the following linear discrete- time system (15) ... further the results, we give the trajectories of state of the system (15) with the state feedback of the form u(k) = Kx(k) for the resulting discrete- time state feed‐ back stochastic mixed LQR/H ∞...
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Discrete Time Systems Part 1 pdf
... Control 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 ... Stability Criterion and Stabilization of Linear Discrete- time System with Multiple Time Varying Delay 283 Xie Wei Chapter 17 Uncertain Discrete- Time Systems with Delayed State: Robust Stabilization with ... from their counterparts of previously existing continuous -time systems This book attempts to give a scope of the present state- of- the-art in the area of DiscreteTime Systems from selected international...
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Discrete Time Systems Part 2 potx
... class of nonlinear time- delay systems, Computers & Electrical Engineering 30: 61–71 Xu, S., Lu, J., Zhou, S & Yang, C (2004) Design of observers for a class of discrete- time uncertain nonlinear systems ... one of which 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 ... 35 Observers Design for a Class of Lipschitz Discrete- Time Systems with Time- Delay x2 0.8 x 0.6 the estimate of x1 0.4 0.2 Magnitude Magnitude the estimate of x −0.2 −0.4 −1 −2 −0.6 −3 −0.8...
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Discrete Time Systems Part 3 ppt
... 50 Discrete Time Systems This completes the proof of Theorem Proof of Theorem a., c Equations (18) and (19) immediately follow from ... Predictors for DiscreteTime Linear Systems with Different Types of Observations, International Journal of Control, Automation, and Systems, Vol 7, No 4, pp 651-658 Sun, S L (2004) Multi-sensor optimal ... 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 smoothing...
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Discrete Time Systems Part 4 pptx
... A typical system dynamics can be represented as a transfer function or using the space -state approach The state- space approach is based on the time- evolution of the "states" of the system, which ... ellipses The use of covariance ellipses allows us to visualize the variance and the cross covariance of a system with two states 106 14 Discrete Discrete Time Systems Time Systems Consider the ... useful representation of the system, such as, the attitude parameterization of an aircraft altitude Suppose we have access to all the states of a system What can we with them? As the states contain...
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Discrete Time Systems Part 5 potx
... k ) of Eq.(14) is obtained from ⎣ ⎦ e( k ) = The model following control system can be realized if the system internal states are bounded Proof of the bounded property of internal states System ... the proof of sufficiency, on the process of the evaluation of the performance index, by getting rid of the mixed terms of Stochastic Optimal Tracking with Preview for Linear Discrete Time Markovian ... Heidelberg 130 Discrete Time Systems G Nakura (2010) Stochastic Optimal Tracking with Preview by State Feedback for Linear Discrete- Time Markovian Jump Systems International Journal of Innovative...
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Discrete Time Systems Part 6 pptx
... 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 ... is the consequence of the equivalence of and in Finsler’s Lemma Output Feedback Control of Discrete- time LTI Systems: Scaling LMI Approaches 153 Theorem The discrete- time system (1)-(2) is stabilized ... the discrete time optimal LQR control pro-blem with an 161 Discrete Time Mixed LQR/H∞ Control Problems extension of the discrete time bounded real lemma, the argument of compl-etion of squares of...
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Discrete Time Systems Part 7 ppt
... present an extension of the discrete time bounded real lemma In terms of the stabilizing solution to a discrete time Riccati equation, we derive the simple approach to discrete time state feedback ... 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 a few ... 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 with time- invariant...
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Discrete Time Systems Part 8 pot
... effects of 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 ... control of a class of nonlinear discrete- time systems, International Journal of Control 62(2): 303–324 Zhang, T & Ge, S (2007) Adaptive neural control of MIMO nonlinear state time- varying delay systems ... been developed for the discrete- time output-feedback form systems As mentioned in Section 1, NARMA model is one of the most popular representations of nonlinear discrete- time systemsLeontaritis &...
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Discrete Time Systems Part 9 ppt
... 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 of multi-agent decentralized ... regulator of a multi-agent uncertain coupled ARMAX system, Proceedings of the 2007 IEEE Multi-conference on Systems and Control, p 363 Moreau, L (2005) Stability of multiagent systems with time- dependent ... Control of Discrete- Time Multi-Agent Systems 249 and G A is an adjacent matrix of the multi-agent system (5.1), whose (i, j)th entry is if j ∈ Ni or if j ∈ Ni Consequently, the closed-loop multi-agent...
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Discrete Time Systems Part 10 pdf
... the case of multiple time- varying delays in state, and this will be the subject of this paper This paper address stabilization problem of linear discrete- time systems with multiple time- varying ... developed for linear 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 ... class of multi -time- delay discrete systems with norm-bounded uncertainties has been studied in (Shi et al., 2009) To the best of author’s knowledge, stabilization problem of linear discrete systems...
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Discrete Time Systems Part 11 potx
... stabilized by the state feedback States 0.5 -0.5 -1 10 15 Time 20 Fig The behavior of the states in case of d1 = 1, d2 = States 0.5 -0.5 -1 10 15 Time 20 Fig The behavior of the states in case of d1 = ... = 1, d2 = States 0.5 -0.5 -1 10 15 Time 20 Fig The behavior of the states in case of d1 = 2, d2 = Stability Criterion and Stabilization of Linear Discrete- time System with Multiple Time Varying ... 1.03 e ⎦ 292 Discrete Time Systems − Therefore, a memoryless state- feedback gain is given by K = FX1 = [2.0 3.0] The closed-loop discrete- time system with multiple time- varying time delay is...
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Discrete Time Systems Part 12 ppt
... ≥ 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: ... analysis of grey discrete time systems with time- delay whose state matrices are interval matrices A novel sufficient condition is obtained to ensure the stability of grey discrete time systems with time- delay ... (2007) H ∞ control of discrete- time systems with multiple input delays, IEEE Transactions on Automatic Control 52(2): 271–283 18 Stability Analysis of Grey Discrete Time Time-Delay Systems: A Sufficient...
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Discrete Time Systems Part 13 ppt
... Class of Uncertain Discrete- time Switched Linear Systems Songlin Chen, Yu Yao and Xiaoguan Di Harbin Institute of Technology P R China Introduction Switched systems are a class of hybrid systems ... Fig The state response of the closed-loop system Conclusion This paper focused on the robust control of switched systems with norm-bounded time- varying uncertainties with the help of multiple ... control problem of uncertain discrete- time switched linear systems (Zhang & Duan, 2007) Based on multiple Lyapunov functions approach, the robust H∞ control problem of uncertain continuous -time switched...
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Discrete Time Systems Part 14 ppt
... LMS-based Time- domain Equalisation in Discrete Multitone Systems 399 original channel MMSE−UEC SIR of ASOSNALMS TIR of ASOSNALMS 0.8 amplitude 0.6 0.4 0.2 −0.2 −0.4 20 40 60 80 100 120 discrete time ... circles “◦” indicate the values of x + 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 ... As well as 406 Discrete Time Systems a LEGION, our neuronal network system can work as a dynamic image-segmentation system according to the oscillatory responses of neurons Our system provides...
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Discrete Time Systems Part 15 pdf
... intersection of RV and the direct sum of the generalized eigenspaces of Df (x∗ ) such that |μi | > 1, ∀i; U is called the unstable subspace of RV Moreover, let H = Df (x∗ )|U The topological type of ... asymmetric system and drew two bifurcation diagrams Figure 14(a) shows the bifurcation sets of three-phase periodic points on the (kr , φ)-plane Of course, we found no D-type of 418 Discrete Time Systems ... asymmetric three-coupled system 420 Discrete Time Systems (a) CT image (b) Binarization (c) Output images in time series Fig 15 Results of dynamic image segmentation based on out -of- phase oscillatory...
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