Continuous-Time Systems

Continuous-Time Systems
Author: Yuriy Shmaliy
Publisher: Springer Science & Business Media
Total Pages: 649
Release: 2007-09-23
Genre: Technology & Engineering
ISBN: 1402062729

This work offers students at all levels a description of linear, nonlinear, time-invariant, and time-varying electronic continuous-time systems. As an assemblage of physical or mathematical components organized and interacting to convert an input signal to an output signal, an electronic system can be described using different methods offered by the modern systems theory. To make possible for readers to understand systems, the book systematically covers the major foundations of the systems theory.

Continuous-Time Markov Jump Linear Systems

Continuous-Time Markov Jump Linear Systems
Author: Oswaldo Luiz do Valle Costa
Publisher: Springer Science & Business Media
Total Pages: 295
Release: 2012-12-18
Genre: Mathematics
ISBN: 3642341004

It has been widely recognized nowadays the importance of introducing mathematical models that take into account possible sudden changes in the dynamical behavior of a high-integrity systems or a safety-critical system. Such systems can be found in aircraft control, nuclear power stations, robotic manipulator systems, integrated communication networks and large-scale flexible structures for space stations, and are inherently vulnerable to abrupt changes in their structures caused by component or interconnection failures. In this regard, a particularly interesting class of models is the so-called Markov jump linear systems (MJLS), which have been used in numerous applications including robotics, economics and wireless communication. Combining probability and operator theory, the present volume provides a unified and rigorous treatment of recent results in control theory of continuous-time MJLS. This unique approach is of great interest to experts working in the field of linear systems with Markovian jump parameters or in stochastic control. The volume focuses on one of the few cases of stochastic control problems with an actual explicit solution and offers material well-suited to coursework, introducing students to an interesting and active research area. The book is addressed to researchers working in control and signal processing engineering. Prerequisites include a solid background in classical linear control theory, basic familiarity with continuous-time Markov chains and probability theory, and some elementary knowledge of operator theory. ​

Linear Continuous-Time Systems

Linear Continuous-Time Systems
Author: Lyubomir T. Gruyitch
Publisher: CRC Press
Total Pages: 469
Release: 2017-07-28
Genre: Technology & Engineering
ISBN: 1000031454

This book aims to help the reader understand the linear continuous-time time-invariant dynamical systems theory and its importance for systems analysis and design of the systems operating in real conditions, i.e., in forced regimes under arbitrary initial conditions. The text completely covers IO, ISO and IIO systems. It introduces the concept of the system full matrix P(s) in the complex domain and establishes its link with the also newly introduced system full transfer function matrix F(s). The text establishes the full block diagram technique based on the use of F(s), which incorporates the Laplace transform of the input vector and the vector of all initial conditions. It explores the direct relationship between the system full transfer function matrix F(s) and the Lyapunov stability concept, definitions and conditions, as well as with the BI stability concept, definitions, and conditions. The goal of the book is to unify the study and applications of all three classes of the of the linear continuous-time time-invariant systems, for short systems.

Identification of Continuous-Time Systems

Identification of Continuous-Time Systems
Author: Allamaraju Subrahmanyam
Publisher: CRC Press
Total Pages: 94
Release: 2019-12-06
Genre: Technology & Engineering
ISBN: 1000732908

Models of dynamical systems are required for various purposes in the field of systems and control. The models are handled either in discrete time (DT) or in continuous time (CT). Physical systems give rise to models only in CT because they are based on physical laws which are invariably in CT. In system identification, indirect methods provide DT models which are then converted into CT. Methods of directly identifying CT models are preferred to the indirect methods for various reasons. The direct methods involve a primary stage of signal processing, followed by a secondary stage of parameter estimation. In the primary stage, the measured signals are processed by a general linear dynamic operation—computational or realized through prefilters, to preserve the system parameters in their native CT form—and the literature is rich on this aspect. In this book: Identification of Continuous-Time Systems-Linear and Robust Parameter Estimation, Allamaraju Subrahmanyam and Ganti Prasada Rao consider CT system models that are linear in their unknown parameters and propose robust methods of estimation. This book complements the existing literature on the identification of CT systems by enhancing the secondary stage through linear and robust estimation. In this book, the authors provide an overview of CT system identification, consider Markov-parameter models and time-moment models as simple linear-in-parameters models for CT system identification, bring them into mainstream model parameterization via basis functions, present a methodology to robustify the recursive least squares algorithm for parameter estimation of linear regression models, suggest a simple off-line error quantification scheme to show that it is possible to quantify error even in the absence of informative priors, and indicate some directions for further research. This modest volume is intended to be a useful addition to the literature on identifying CT systems.

Linear Time Varying Systems and Sampled-data Systems

Linear Time Varying Systems and Sampled-data Systems
Author: Akira Ichikawa
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 2001-02-26
Genre: Medical
ISBN: 9781852334390

This monograph considers linear optimal regulators, differential games and develops the theory for time-varying systems and jump systems.

Signals and Systems

Signals and Systems
Author: Richard Baraniuk
Publisher: Orange Grove Texts Plus
Total Pages: 0
Release: 2009-09-24
Genre:
ISBN: 9781616100681

This text deals with signals, systems, and transforms, from their theoretical mathematical foundations to practical implementation in circuits and computer algorithms. At its conclusion, learners will have a deep understanding of the mathematics and practical issues of signals in continuous and discrete time, linear time invariant systems, convolution, and Fourier transforms.

Linear Systems

Linear Systems
Author: Michael O'Flynn
Publisher: HarperCollins Publishers
Total Pages: 520
Release: 1987
Genre: Science
ISBN:

This easily accessible text combines mathematical precision, technical detail, and sound pedagogy to give complete coverage of linear systems. Its parallel discussion of continuous-time and discrete-time systems reflects a modern approach to these topics while capitalizing on their conceptual similarities. Covers of state variables, paying particular attention to applications in control theory; sections on the Fast Fourier Transform and its applications, introducing readers to modern techniques; and discussions of correlation integrals and summations as well as two-sided transforms which lead to applications of systems with noise input.

Fundamentals of Linear State Space Systems

Fundamentals of Linear State Space Systems
Author: John S. Bay
Publisher: McGraw-Hill Science, Engineering & Mathematics
Total Pages: 600
Release: 1999
Genre: Mathematics
ISBN:

Spans a broad range of linear system theory concepts, but does so in a complete and sequential style. It is suitable for a first-year graduate or advanced undergraduate course in any field of engineering. State space methods are derived from first principles while drawing on the students' previous understanding of physical and mathematical concepts. The text requires only a knowledge of basic signals and systems theory, but takes the student, in a single semester, all the way through state feedback, observers, Kalman filters, and elementary I.Q.G. control.

Continuous-Time Signals

Continuous-Time Signals
Author: Yuriy Shmaliy
Publisher: Springer Science & Business Media
Total Pages: 363
Release: 2006-10-04
Genre: Technology & Engineering
ISBN: 1402048181

This book offers an extended description of continuous-time signals related to signals and systems. As a time-varying process of any physical state of any object, which serves for representation, detection, and transmission of messages, a modern electrical signal possesses, in applications, many specific properties. The text covers principle foundations of signals theory. Presenting bandlimited and analytic signals, the book reviews the methods of their description, transformation (by Hilbert transform), and sampling.