transformation routh test for discrete time systems

... AAECC DOI 10.1007/s00200-017-0314-2 ORIGINAL PAPER A constructive test for exponential stability of linear time- varying discrete- time systems Ulrich Oberst1 Received: 13 January 2016 / Revised: December ... ct m for t ≥ σ1 [5, (29)] For nonzero a there is σ2 > σ (a) such that a(t −1 ) = for t ≥ σ2 These properties of the coefficient functions are essential for the module-behavior duality and for ... bounded for t ≥ t0 and therefore t −1 C(t −1 ) is a disturbance term that is small for large t 123 U Oberst (a) If |λ| < for all eigenvalues of A0 the system x(t + 1) = A0 x(t), t ≥ t0 , is uniformly

Ngày tải lên: 19/11/2022, 11:35

... environment for the purpose of simulating actual ? ?time devoted to tasks performed for patients for whom the nurse is responsible,’ ? ?time de‐ voted to tasks performed for other patients,’ ? ?time devoted ... to hybrid smoothing for linear discrete- time systems with non-Gaussian noises” by Gou Na‐ kura, the author critically examined hybrid estimation for linear discrete- time systems with non- Gaussian ... gener‐ alized H2 control for discrete- time fuzzy systems with infinite-distributed delays” examined the generalized H2 control problem for a class of discrete time T-S fuzzy systems with infin‐ ite-distributed

Ngày tải lên: 14/02/2014, 09:20

... 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 ... (18) is fulfilled for any given goal set Xg To this end, the notion of controllability that is established for linear discrete time systems [Theorem in (Sontag, 1998)] is formulated for LMS Theorem ... natural number n ∈ N such that An = A simple method for obtaining the transformation matrix T can be found in Appendix B of (Reger, 2004) Discrete Time Systems with Event-Based Dynamics: Recent Developments

Ngày tải lên: 20/06/2014, 01:20

... of function f 484 Discrete Time Systems 2.4 The Neimark-Sacker bifurcation for a class of discrete- time dynamical systems with delay A two dimensional discrete- time dynamical system ... developed for 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 ... Synthesis for Discrete Event Control of Manufacturing Systems, Kluwer. Germundsson, R. (1995). Symbolic Systems — Theory, Computation and Applications, PhD thesis, Linköping. 475 Discrete Time Systems

Ngày tải lên: 20/06/2014, 01:20

... between discrete- time and continuous -time dynamical systems is that chaos occurs in one-dimensional discrete- time dynamical systems, but not for one-dimensional deterministic continuous -time dynamical ... developed more thoroughly for discrete- time systems (maps) than for continuous -time systems. Li-Yorke’s period-three-implies-chaos and Sarkovskii’s ordering on periodic orbits for one-dimensional maps ... introduce the following definition for the convergent property of discrete- time systems Definition A discrete- time. .. Synchronization in discrete- time networks with general pairwise

Ngày tải lên: 20/06/2014, 01:20

... decades, discrete- time systems with delay have drawn much attention from the researchers. This is due to their important role in many practical systems. The stability of time- delay systems is ... developed in 7 for linear nonau- tonomous delay difference systems to the nonlinear case with delaying arguments. Our ap- proach is based on the “freezing” technique for discrete- time systems. This ... conditions Gk, s  0fors − m ≤ k ≤ s − 1, 1fork  s. 2.10 Since the coefficients of 2.9 are constants for fixed s ∈ N, then the Cauchy function of 2.9 has the form Gk, svk − s, for k ≥ s − m,

Ngày tải lên: 22/06/2014, 06:20

... control design using discrete Nussbaum gain for discrete- time systems is more difficult than control design using continuous -time Nussbaum gain for continuous -time systems 1.2 Adaptive ... and NN controls for discrete- time nonlinear systems with guaranteed stability For adaptive control, we will study SISO/MIMO systems in strictfeedback forms While for adaptive NN ... 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-

Ngày tải lên: 14/09/2015, 08:39

... with ith time time Fig: g Testingg time invariance ™ If yD(n)=y(n-D) ∀ DỈ time- invariant system Otherwise, the system is time- variant Ha H Kha 11 Discrete- Time Systems Example ™ Test the time- invariance ... Discrete- Time Systems Some elementary of discrete- time signals ™ Unit sample sequence (unit impulse): ⎧1 δ ( n) = ⎨ ⎩0 for n = for n ≠ ™ Unit step signal ⎧1 u ( n) = ⎨ ⎩0 Ha H Kha f n≥0 for for ... the th systems t ™ Linear time- invariant time invariant (LTI) systems ‰ convolution ™ FIR andd IIR filters fil ™ Causality C li and d stability bili off the h systems Ha H Kha Discrete- Time Systems

Ngày tải lên: 11/10/2018, 22:32

... finite -time boundedness for discrete- time neural networks with interval-like time- varying delays First, a delay-dependent finite -time boundedness criterion under the finite -time ℋ∞ performance ... variety of results on finite -time stability, finite -time boundedness, finite -time stabilization and finite -time ℋ∞ control were obtained for continuous- or discrete- time systems in recent years [5-14] ... framework of discrete- time NNs, there are two interesting articles [9, 10], which deal with finite -time stability and finite -time boundedness in that order To the best of our knowledge, ℋ∞ finite-time

Ngày tải lên: 27/09/2020, 17:53

... Considerable research efforts have been devoted to the SMC problems for various systems, for example, fuzzy systems (Zhang et al., 2010), uncertain systems (Zhang & Xia, 2010), Markov jump systems (Chen, ... Learning Systems, 29(6), 2558–2567 Fei, Z., Shi, S., Wang, Z., & Wu, L (2018) Quasi -time- dependent output control for discrete- time switched system with mode dependent average dwell time IEEE ... EI-Hajjaji, A (2017) Resilient H∞ sliding mode control for discrete- time descriptor fuzzy systems with multiple time delays International Journal of Systems Science, 48(2), 288–301 Kumari, K., Bandyopadhyay,

Ngày tải lên: 05/11/2020, 10:08

... author information is available at the end of the article Abstract Some new existence theorems for homoclinic solutions are obtained for a class of second-order discrete p-Laplacian systems by ... sequence of the second- order difference systems. A completely new and effective way is provided for dealing with the existence of solutions for discrete p-Laplacian systems, which is different from ... solutions, discrete variational methods, p-Laplacian systems 1. Introduction In this article, we shall be concerned with the existence of homoclinic orbits for the second-order discrete p-Laplacian systems:

Ngày tải lên: 20/06/2014, 22:20

... Neuroadaptive control for discrete- time nonlinear nonnegative uncertain systems In this section, we consider the problem of characterizing neuroadaptive feedback control laws for discrete- time nonlinear ... by equivalently representing the time- varying discrete- time system 2.10 as an autonomous discrete- time nonlinear system by appending another state to represent time Specifically, defining y k − ... x20 The following results present Lyapunov-like theorems for boundedness and ultimate boundedness for discrete- time nonlinear systems For these results define ΔV x1 , x2 T T T V f x1 , x2 − V...

Ngày tải lên: 22/06/2014, 11:20

... stability result for discrete- time large-scale nonlinear dynamical systems using vector Lyapunov functions In particular, we consider discrete- time nonlinear dynamical systems of the form x(k + 1) ... large-scale discrete- time nonlinear dynamical systems General stability criteria are given for Lyapunov and asymptotic stability of feedback interconnections of large-scale discrete- time dynamical systems ... Lyapunov function for the discrete- time large-scale nonlinear dynamical system (2.3) Finally, we recall the notions of dissipativity [6] and geometric dissipativity [8, 9] for discrete- time nonlinear...

Ngày tải lên: 23/06/2014, 00:20

... engineers of that time Linear periodic discrete- time Hamiltonian systems are met in the existence problem for forced oscillations (periodic and almost periodic) in discrete- time periodic systems with ... boundary value problem for (1.7) defined by xN = ρi (λ∗ )x0 As known from the more general results of Kre˘n [19] for continuous -time systems and of [14, 23] for ı discrete- time systems, the characteristic ... stability for discrete- time Hamiltonian systems is not without interest On the other hand, not all results of the continuous -time fields may migrate, mutatis mutandis, to the discrete- time field...

Ngày tải lên: 23/06/2014, 00:20

... Filtering for Discrete Time Uncertain Systems Rodrigo Souto, João Ishihara and Geovany Borges Part Chapter Chapter Discrete- Time Fixed Control 109 Stochastic Optimal Tracking with Preview for Linear Discrete ... 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 ... Linear Discrete- time System with Multiple Time Varying Delay 283 Xie Wei Chapter 17 Uncertain Discrete- Time Systems with Delayed State: Robust Stabilization with Performance Specification via LMI Formulations...

Ngày tải lên: 20/06/2014, 01:20

... 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 40 Discrete ... i times 31 Observers Design for a Class of Lipschitz Discrete- Time Systems with Time- Delay d d N = N ( K1 ) · · · N q ( K q ) (51) N i (Kid ) = ( Hid − Kid C ) T ( Hid − Kid C ) T (52) r i times ... {1, , r } such that aij = for all (i, j) ∈ S1 × S2 and ad = for all (l, m) ∈ S1 × S2 , we can lm Observers Design for a Class of Lipschitz Discrete- Time Systems with Time- Delay 29 consider the...

Ngày tải lên: 20/06/2014, 01:20

... 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 ... 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 problems for ... recently addressed in Shi et al (2010) 72 Discrete Time Systems This chapter investigates the behavior of the Kalman filter for discrete- time linear systems whose output is intermittently sampled...

Ngày tải lên: 20/06/2014, 01:20

... easy to obtain the required statistic information about Kalman Filtering for Discrete Time Uncertain Systems Kalman Filtering for Discrete Time Uncertain Systems 95 noises and perturbations affecting ... 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 ... (66) 103 11 Kalman 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,...

Ngày tải lên: 20/06/2014, 01:20

... preview compensation for hybrid systems including the Markovian jump systems is very effective for improving the system performance, the preview tracking theory for the Markovian jump systems had not ... following linear discretetime time- varying system with reference signal and Markovian mode transitions Stochastic Optimal Tracking with Preview for Linear Discrete Time Markovian Jump Systems 113 ... 3-642-006019, Berlin, 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...

Ngày tải lên: 20/06/2014, 01:20

... conditions for static output feedback control of discrete- time LTI systems Some approaches require a similarity transformation to convert B or C to a special form such that we can formulate the ... 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 ... approach to discrete time state feedback mixed LQR / H ∞ control problem by combining the Lyapunov method for proving the discrete time optimal LQR control pro-blem with an 161 Discrete Time Mixed...

Ngày tải lên: 20/06/2014, 01:20