A consistent time-domain and frequency-domain representation for discrete-time linear time-invariant feedback systems

2004 ◽  
Author(s):  
W.E. Leithead ◽  
J. O'Reilly
Keyword(s):  
Frequency Domain ◽  
Discrete Time ◽  
Time Domain ◽  
Linear Time ◽  
Feedback Systems ◽  
Linear Time Invariant ◽  
Time Invariant ◽  
Time Linear

scholarly journals Static output feedback stabilization of discrete time linear time invariant systems based on approximate dynamic programming

2020 ◽  
Vol 42 (16) ◽  
pp. 3168-3182
Author(s):  
Okan Demir ◽  
Hitay Özbay
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Linear Time ◽  
Feedback Stabilization ◽  
Mixed Integer ◽  
Static Output Feedback ◽  
Linear Time Invariant ◽  
Time Invariant ◽  
Time Linear ◽  
Static Output

This study proposes a method for the static output feedback (SOF) stabilization of discrete time linear time invariant (LTI) systems by using a low number of sensors. The problem is investigated in two parts. First, the optimal sensor placement is formulated as a quadratic mixed integer problem that minimizes the required input energy to steer the output to a desired value. Then, the SOF stabilization, which is one of the most fundamental problems in the control research, is investigated. The SOF gain is calculated as a projected solution of the Hamilton-Jacobi-Bellman (HJB) equation for discrete time LTI system. The proposed method is compared with several examples from the literature.

scholarly journals Interval Estimation Methods for Discrete-Time Linear Time-Invariant Systems

2019 ◽  
Vol 64 (11) ◽  
pp. 4717-4724 ◽  
Author(s):  
Wentao Tang ◽  
Zhenhua Wang ◽  
Ye Wang ◽  
Tarek Raissi ◽  
Yi Shen
Keyword(s):  
Discrete Time ◽  
Linear Time ◽  
Interval Estimation ◽  
Estimation Methods ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Time Invariant ◽  
Time Linear

A Relationship between Parameters of Two Representations of Discrete LTI ARMA System Model and the Corresponding Device Fingerprints

2013 ◽  
Vol 416-417 ◽  
pp. 1267-1273 ◽  
Author(s):  
Hong Lin Yuan ◽  
Zhi Hua Bao ◽  
Yan Yan
Keyword(s):  
Discrete Time ◽  
Digital Communication ◽  
Linear Time ◽  
Moving Average ◽  
System Model ◽  
Autoregressive Moving Average ◽  
Linear Time Invariant ◽  
Time Invariant ◽  
The Relationship ◽  
Time Linear

Device fingerprints has potential to identify the source of digital communication information. Although identifying transmitters with their fingerprints remains an arduous question, fusion identification with multiple device fingerprints is a feasible methodology. In this paper, a relationship between parameters of two representations of discrete-time linear time-invariant (LTI) autoregressive moving average (ARMA) system model is derived which has definite physical meaning. With the relationship, a novel linear device fingerprints is proposed which may enlarge the inter-class distance of the transmitters to be identified. The proposed device fingerprints can be used for fusion identification of network devices and the corresponding ARMA systems especially for that with slight differences.

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