Last edited by Dorisar
Tuesday, August 18, 2020 | History

3 edition of Stability of time-variant discrete-time systems found in the catalog.

Stability of time-variant discrete-time systems

GГјnter Ludyk

# Stability of time-variant discrete-time systems

## by GГјnter Ludyk

Written in English

Subjects:
• Discrete-time systems

• Edition Notes

Classifications The Physical Object Statement Günter Ludyk. Series Advances in control systems and signal processing -- v.5 LC Classifications QA402 L833 1985 Pagination 148 p. : Number of Pages 148 Open Library OL16678327M

Discrete-Time Systems • A discrete-time system processes a given input sequence x[n] to generates an output sequence y[n] with more desirable properties • In most applications, the discrete-time system is a single-input, single-output system: System x[n] Discrete−time y[n]File Size: KB. Discrete-Time System Properties Linear vs. Nonlinear Systems I Linear system: obeys superposition principle I a system is linear i T[a 1 x 1(n) + a 2 x 2(n)] = a 1 T[x 1(n)] + a 2 T[x 2(n)] for any arbitrary input sequences x 1(n) and x 2(n), and any arbitrary constants a 1 and a 2 Professor Deepa Kundur (University of Toronto)Discrete-Time System Properties13 / 23File Size: KB.

A necessary and sufficient condition for the stability of time variant interval matrices is presented. This condition allows to test stability in a finite number of steps. Stability analysis Sufficient conditions Robust stability Discrete time systems Data mining Computers Asymptotic stability Stability analysis.   Solved problem on stability: Determine whether the following discrete time functions are stable or not. 1) y(n) = x(-n) Solution: we have to check the stability of the system by applying bounded input. That means the value of x(-n) should be finite. So when input is bounded output will be bounded. Thus the given function is Stable system.

ECE Signal and Systems 9–1 Continuous-Time Signals and LTI Systems At the start of the course both continuous and discrete-time sig-nals were introduced. In the world of signals and systems model-ing, analysis, and implementation, both discrete-time and continuous-time signals are a reality. We live in an analog world, is often Size: KB. CLASSIFICATIONS OF DISCRETE TIME SYSTEMS The discrete time systems can be classified as follows: Static/Dynamic Causal/Non-Causal Time invariant/Time variant Linear/Non-Linear Stable/Unstable Static and Dynamic Systems The system is - Selection from Signals and Systems [Book].

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### Stability of time-variant discrete-time systems by GГјnter Ludyk Download PDF EPUB FB2

In this monograph some stability properties of linear, time-variant, discrete-time systems are summarized, where some properties are well known, some are little-known facts, and a few may be new. Models for this treatise an the asymp- totical behaviour of solutions of difference equations are the commonly known excellent books of CESARI  and Cited by: Stability of Time-Variant Discrete-Time Systems.

Authors (view affiliations) Günter Ludyk Search within book. Front Matter. Pages i PDF. Introduction and Summary. Günter Ludyk. Pages Mathematical Description of Discrete-Time Systems. Günter Ludyk. Pages Stability of Free Discrete-Time Systems. Günter Ludyk.

Pages Stability of time-variant discrete-time systems. Braunschweig: Friedr. Vieweg, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Günter Ludyk. Stability Condition of an LTI Discrete-Time System •Example- Consider a causal LTI discrete-time system with an impulse response • For this system • Therefore S File Size: KB.

PreTeX, Inc. Oppenheim book J 14 Chapter 2 Discrete-Time Signals and Systems For −1 1, then the sequence grows in magnitude as n increases.

The exponential sequence Aαn with α complex has real and imaginary parts that are exponentially weighted File Size: 2MB. Cite this chapter as: Ludyk G. () Stability of Free Discrete-Time Systems.

In: Stability of Time-Variant Discrete-Time Systems. Advances in Control Systems and Signal Processing, vol : Günter Ludyk. 14 A.P. Molchanov, P.H. Bauer, Robust stability of linear time-varying delta-operator formulated discrete-time systems, IEEE Transactions on Automatic Control,44, 2, CrossRef 15 Sandra A.

Yost, Peter H. Bauer, Asymptotic stability of time-variant polynomials with diamond-shaped uncertainties, Journal of the Franklin Institute, Robust Stability of Time-Variant Discrete-Time Systems with Bounded Parameter Perturbations February IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications 42(1) - For linear time-variant systems x ˙ (t) = A (t) x (t), we consider Lyapunov function candidates of the form V p (x, t) = | | H (t) x | | p, with 1 ≤ p ≤ ∞, defined by continuously differentiable and non-singular matrix-valued functions, H (t): R + → R n × prove that the traditional framework based on quadratic Lyapunov functions represents a particular case (i.e.

p=2) of a more Cited by: 7. A time-invariant (TIV) system has a time-dependent system function that is not a direct function of time. Such systems are regarded as a class of systems in the field of system time-dependent system function is a function of the time-dependent input this function depends only indirectly on the time-domain (via the input function, for example), then that is a.

“Discrete–time, linear, time invariant systems” refer to linear, time invariant circuits or processors that take one discrete–time input signal and produce one discrete–time output signal. Example2 Let x[n] denote the net deposit (i.e. the sum of all deposits minus the sum of all withdrawals)File Size: KB.

select article Bounding Techniques for Robust Stability of Time-Variant Discrete-Time Systems. c r,May27,(studentversion) Subtleties in dening the ROC (optional reading!) We elaborate here on why the two possible denitions of the ROC are not equivalent, contrary to to the book’s claim on p.

Consider the harmonic series signal x[n] = 1 n u[n 1]: (A signal with no practical importance.) The z-transform of this signal isFile Size: KB. Stability of positive linear discrete-time systems G. JAMES 1 ∗ and V. RUMCHEV 2 ∗∗ 1 Control Theory and Applications Centre, Cov entry Universit y, Priory Street, Co ventry, CV1 5FB, UK.

"A Linear Systems Primer" is a well written textbook. I regard the text as a friendly introduction to the very broad subject of Linear Systems. I bought this book for the sole purpose of getting a better understanding of State-Space modelling of Dynamic by: A time-variant system is a system whose output response depends on moment of observation as well as moment of input signal application.

In other words, a time delay or time advance of input not only shifts the output signal in time but also changes other parameters and behavior. Time variant systems respond differently to the same input at. Leva, E. Locatelli, and R. Scattolini, Workbench Techniques in the Design of Digital Control Systems.A.

Barreiro, Recursive Techniques in State-Space and Matrix Fraction Realizations for Linear and E.I. Jury, Bounding Techniques for Robust Stability of Time-Variant Discrete-Time Systems.X.R.

Li and Y. Bar-Shalom, Performance Prediction of Hybrid. Continuous-time and discrete-time systems † Physically, a system is an interconnection of components, devices, etc., such as a computer or an aircraft or a power plant. † Conceptually, a system can be viewed as a black box which takes in an input signal x(t) (or x[n]) and as a result generates an output signal y(t) (or (y[n]).File Size: KB.

Discrete-time systems A discrete-time system is a device or algorithm that, according to some well-dened rule, operates on a discrete-time signal called the input signal or excitation to produce another discrete-time signal called the output signal or response.

Mathematically speaking, a system is also a Size: KB. as time increases. For simplicity, only time-invariant systems are considered in this section. Time-variant systems are discussed in Section Continuous, time-invariant systems have the form _xðtÞ¼f ðxðtÞÞ ðÞ and discrete, time-invariant systems are modeled by the difference equation xðt þ1Þ¼f ðxðtÞÞ ðÞFile Size: KB.

DSP - Time-Variant Systems. Advertisements. Previous Page. Next Page. For a time variant system, also, output and input should be delayed by some time constant but the delay at the input should not reflect at the output.

All time scaling cases are examples of time variant system. Similarly, when coefficient in the system relationship is a.P.H. Bauer and E.I. Jury, Bounding Techniques for Robust Stability of Time-Variant Discrete-Time Systems. X.R. Li and Y. Bar-Shalom, Performance Prediction of Hybrid Algorithms.

W.-Y. Yan and R.R. Bitmead, Decentralized Control Techniques in Periodically Time-Varying Discrete-Time Control Systems.Chapter 2 Linear Time-Invariant Systems Introduction • Many physical systems can be modeled as linear time-invariant (LTI) systems • Very general signals can be represented as linear combinations of delayed impulses.

• By the principle of superposition, the response y[n] of a discrete-time LTI system is the sumFile Size: KB.