AN EXACT METHOD FOR THE STABILITY ANALYSIS OF TIME DELAYED LINEAR TIME INVARIANT LTI SYSTEMS

Bài giảng Xử lý tín hiệu số - Chapter 3: Discrete - time systems gồm có những nội dung chính sau: Input/ output relationship of the systems, linear time - invariant systems, FIR and IIR filters, causali and stability of the systems. Mời các bạn cùng tham khảo.

Definition 1.1. If there exists a positive number ω ∈ R such that t + nω ∈ T
for all t ∈ T and n ∈ Z , then we call T a periodic time scale with period ω .
Suppose T is a ω -periodic time scale and 0 ∈ T . Consider the polar linear
Hamiltonian dynamic system[r]

In the following we review the analysis of linear models of discrete and continuous time dynamic systems. The equations that describe and relate continuous and discrete time behavior are presented. For the analysi[r]

Lemma 2.2. System (1.1) is unstable if | H | > 2 , and stable if | H | < 2 .
Instead of the usual zero, we adopt the following concept of generalized zero on time scales.
Definition 2.3. A function f : T → R is said to have a generalized zero at

25.1 System and Signal Analysis
In dynamic system design and analysis it is important to predict and understand the dynamic behavior of the system. Examining the dynamic behavior can be done by using a mathematical model that describes the relevant[r]

In the state space approach part, the model of the continuous-time systems is converted to a discrete-time state space representation and different techniques for analysis and synthesis o[r]

More precisely, we show that the exponential stability of the linear equation on time scales does not imply the exponential stability of the small enough Lipchitz perturbed equation if t[r]

The squared modulus, ν 7→ |ψe2πiν|2 _is known as the power transfer_ TRANG 9 FREQUENCY RESPONSE OF A TIME-INVARIANT LINEAR FILTER For stable ψ, Yt = ψBXt has spectral density fyν = ψ e2π[r]

Some results are obtained, such as the solution formula of linear time-varying IDEsE_σ_tx∆ = Atx+ ft; the robust stability of IDEs subject to Lipschitz pertur-bations in Theorem 3.10, an[r]

The present study aims at investigating the effect of government spending on the stability of macro-economy for the time interval 1979-2011 using the Johansen-Juselius method.

there are some blocks that do not change (the box marked by 1 in Figure 1 ) while the others vary, for example, due to the presence of moving objects (the box marked by 2 in Figure 1 ). These two types of blocks will be referred to as stationary and n[r]

DORF TRANG 2 12 STABILITY ANALYSIS 12.1 Introduction 12.2 Using the State of the System to Determine Stability 12.3 Lyapunov Stability Theory 12.4 Stability of Time-Invariant Linear Syst[r]

easy task since not all results migrate mutatis-mutandis from continuous time to discrete
time, that is, from ordinary di ff erential to di ff erence equations. Throughout the paper, the theory of the stability zones is performed for scalar (2n[r]

5. Conclusion
In this paper, a new fuzzy adaptive exponential synchronization scheme, which consists of time delayed fuzzy drive and response systems, is proposed for time delayed chaotic systems with unknown parameters. Based on Lyapunov-Kra[r]

This article aims at developing an open tool for performing CPM based project scheduling visualization and time-cost tradeoff analysis. The success-history based parameter adaptation for Differential Evolution with linear population size reduction, denoted as LSHADE, is used for automatic time-cost[r]

By Corollary 2.7 Problem 2.1 is reduced to a maximazition problem on the bounded polytope V b ∩ F . Note, however, that the set V b ∩ F is, in general, not closed and this situation may cause difficulties or phenomena in solving the above problem. This is shown by the following[r]

The method is based on the analysis of time evolution of electron states in the real lattice space. The Chebyshev polynomials of the first kind are used to approximate the time evolution operator. We demonstrate that the developed method is powerful and efficient since the computational scaling law[r]

2.6 DESCRIPTION ON TIME STUDY METHOD Predetermined time systems, standard data, work sampling and stopwatch time study are used for measuring work and these five methods of time study ha[r]

It should be noted that although there are a few works devoted to stability analysis of SDLS, see [5, 13, 15], to our best of knowledge, the problem of investigating the stability for [r]

The frequency response of a stable linear time-invariant system is the Fourier transform of its impulse response.. The frequency response of a stable discrete-time linear time-invariant[r]