2023/06/20 by Alexander Medvedev, Medvedev, Alexander
Computer Science · Engineering · #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Mathematics #Fault Detection and Control Systems #Optimization and Control (math.OC) #Sensor Technology and Measurement Systems
paper · pdf · doi:10.48550/arxiv.2306.11805
openalex publication_date 2023/06/20 · openalex created_date 2023/06/24 · openalex updated_date 2026/08/01
The pure time delay operator is considered in continuous and discrete time under the assumption of the input signal being integrable (summable) with square. By making use of a discrete convolution operator with polynomial Markov parameters, a common framework for handling the continuous and discrete case is set. Closed-form expressions for the delay value are derived in terms of the Laguerre spectra of the output and input signals. The expressions hold for any feasible value of the Laguerre parameter and can be utilized for e.g. building time-delay estimators that allow for non-persistent input. A simulation example is provided to illustrate the principle of Laguerre-domain time delay modeling and analysis.