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This paper investigates performance limitations and tradeoffs in the control design for linear time-invariant systems. It is shown that control specifications in time domain and in frequency domain are always mutually exclusive determined…

Systems and Control · Computer Science 2014-02-25 Ji King

A strictly time-domain formulation of the log-sensitivity of the error signal to structured plant uncertainty is presented and analyzed through simple but representative classical and quantum systems. Results demonstrate that across a wide…

Quantum Physics · Physics 2024-06-24 S. O'Neil , S. G. Schirmer , F. C. Langbein , C. A. Weidner , E. Jonckheere

Control design for linear, time-invariant mechanical systems typically requires an accurate low-order approximation in the low frequency range. For example a series expansion of the transfer function around zero consisting of a mass,…

Optimization and Control · Mathematics 2024-05-02 Hans Zwart , Daniël W. M. Veldman , Sahar F. Sharifi

Depending on the application people use time-domain or frequency-domain signals in order to measure or describe processes. First we will look at the definition of these terms, produce some mathematical background and then apply the tools to…

Accelerator Physics · Physics 2024-02-09 H. Schmickler

This paper deals with fractional-order controlled systems and fractional-order controllers in the frequency domain. The mathematical description by fractional transfer functions and properties of these systems are presented. The new ways…

Optimization and Control · Mathematics 2007-05-23 I. Petras , L. Dorcak , P. O'Leary , B. M. Vinagre , I. Podlubny

A dual-rate control system is a hybrid system composed of continuous-time and discrete-time elements with two sampling frequencies. In this work, a new frequency domain analysis and design approach, based on the Quantitative Feedback Theory…

Systems and Control · Electrical Eng. & Systems 2020-02-11 Alfonso Baños , Julián Salt , Vicente Casanova

Frequency-domain analysis has emerged as a powerful paradigm for time series analysis, offering unique advantages over traditional time-domain approaches while introducing new theoretical and practical challenges. This survey provides a…

Computational Engineering, Finance, and Science · Computer Science 2025-10-21 Qianru Zhang , Yuting Sun , Honggang Wen , Peng Yang , Xinzhu Li , Ming Li , Kwok-Yan Lam , Siu-Ming Yiu , Hongzhi Yin

Controlling the temporal mode shape of quantum light pulses has wide ranging application to quantum information science and technology. Techniques have been developed to control the bandwidth, allow shifting in the time and frequency…

Analyzing time series in the frequency domain enables the development of powerful tools for investigating the second-order characteristics of multivariate processes. Parameters like the spectral density matrix and its inverse, the coherence…

Methodology · Statistics 2024-01-19 Jonas Krampe , Efstathios Paparoditis

Frequency-domain unsteady lifting-line theory is better developed than its time-domain counterpart. To take advantage of this, this paper transforms time-domain kinematics to the frequency domain, performs a convolution and then returns the…

Fluid Dynamics · Physics 2021-05-13 Hugh J. A. Bird , Kiran Ramesh

A key factor that generates significant interest in reset control systems, especially within industrial contexts, is their potential to be designed using a frequency-domain loop-shaping procedure. On the other hand, formulating and…

Systems and Control · Electrical Eng. & Systems 2025-02-14 S. Ali Hosseini , S. Hassan HosseinNia

This thesis addresses the problem of developing a quantum counter-part of the well established classical theory of control. We dwell on the fundamental fact that quantum states are generally not perfectly distinguishable, and quantum…

Quantum Physics · Physics 2009-08-21 Paulo E. M. F. Mendonca

Considering the use of dynamical systems in practical applications, often only limited regions in the time or frequency domain are of interest. Therefor, it usually pays off to compute local approximations of the used dynamical systems in…

Optimization and Control · Mathematics 2021-05-17 Peter Benner , Steffen W. R. Werner

The nonstationary nature of signals and nonlinear systems require the time-frequency representation. In time-domain signal, frequency information is derived from the phase of the Gabor's analytic signal which is practically obtained by the…

Information Theory · Computer Science 2016-04-19 Pushpendra Singh

Willems' fundamental lemma has recently received an impressive amount of attention in the (data-driven) control community. In this paper, we formulate a frequency-domain equivalent of this lemma. In doing so, we bridge the gap between…

Systems and Control · Electrical Eng. & Systems 2023-11-28 T. J. Meijer , S. A. N. Nouwens , V. S. Dolk , W. P. M. H. Heemels

The ability to forecast far into the future is highly beneficial to many applications, including but not limited to climatology, energy consumption, and logistics. However, due to noise or measurement error, it is questionable how far into…

Machine Learning · Computer Science 2022-05-26 Fan-Keng Sun , Duane S. Boning

A pivotal task in quantum metrology, and quantum parameter estimation in general, is to de- sign schemes that achieve the highest precision with given resources. Standard models of quantum metrology usually assume the dynamics is fixed, the…

Quantum Physics · Physics 2017-07-18 Jing Liu , Haidong Yuan

While quality estimation (QE) can play an important role in the translation process, its effectiveness relies on the availability and quality of training data. For QE in particular, high-quality labeled data is often lacking due to the high…

Clock synchronisation relies on time-frequency transfer procedures which involve quantum fields. We use the conformal symmetry of such fields to define as quantum operators the time and frequency exchanged in transfer procedures and to…

Quantum Physics · Physics 2009-10-30 Marc-Thierry Jaekel , Serge Reynaud

This paper studies the problem of signal tracking and disturbance rejection for sampled-data control systems, where the pertinent signals can reside beyond the so-called Nyquist frequency. In light of the sampling theorem, it is generally…

Systems and Control · Electrical Eng. & Systems 2022-12-27 Kaoru Yamamoto , Yutaka Yamamoto , Masaaki Nagahara
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