6 edition of Deterministic and stochastic time delay systems found in the catalog.
Includes bibliographical references (p. -417) and index
|Statement||El-Kébir Boukas, Zi-Kuan Liu|
|Series||Control engineering, Control engineering (Birkhäuser)|
|LC Classifications||T216 .B65 2002|
|The Physical Object|
|Pagination||xvi, 423 p. :|
|Number of Pages||423|
|ISBN 10||0817642455, 3764342455|
|LC Control Number||2001043506|
First some definitions, because as with most communications, much of the interpretation depends on the definitions one starts with. A state is a tuple of variables which is assigned a value, typically representing a real-world scenario. A process. A deterministic dynamical system is a system whose state changes over time according to a rule. If time is measured in discrete steps, the state evolves in discrete steps; if time is measured continuously, the system evolves by "flowing" in a dir.
Thus, the stability problem for time-delay systems has been studied for many years [1–8]. On the other hand, stochastic modelling has come to play an important role in many fields of science or industry. Stability analysis for stochastic systems has become increasingly meaningful. A number of results have appeared in the literature [9–19].Cited by: 1. Network calculus is "a set of mathematical results which give insights into man-made systems such as concurrent programs, digital circuits and communication networks." Network calculus gives a theoretical framework for analysing performance guarantees in computer traffic flows through a network it is subject to constraints imposed by the system components, for example.
Deterministic Finite-Dimensional Systems, by Eduardo D. Sontag reviewed by Stephen P. Boyd for IEEE Transactions Automatic Control The title of this book gives a very good description of its contents and style, although I might have added “Introduction to” at the beginning. The. Stochastic refers to a randomly determined process. The word first appeared in English to describe a mathematical object called a stochastic process, but now in mathematics the terms stochastic process and random process are considered interchangeable. The word, with its current definition meaning random, came from German, but it originally came from Greek στόχος (stókhos), meaning 'aim.
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Deterministic and Stochastic Time-Delay Systems [Boukas, El-Kebir, Liu, Zi-Kuan] on *FREE* shipping on qualifying offers. Deterministic and Stochastic Time-Delay Systems5/5(1). "The book is structured into two parts [Part I: Deterministic Control; Part II: Stochastic Control].
The Introduction presents some dynamical time-delay systems and gives the notations used in the book, states the problems and the difference between the two systems under discussion. Different design algorithms for state feedback are proposed.
Deterministic and Stochastic Time-Delay Systems (Control Engineering) Softcover reprint of the original 1st ed.
Edition by El-Kebir Boukas (Author), Zi-Kuan Liu (Contributor)Cited by: The book presents recent developments in the area of deterministic and stochastic hybrid systems, using the Lyapunov and Razumikhin–Lyapunov methods.
Deterministic Systems 4 Stochastic Systems 9 Notation and Abbreviations 12 Dynamical Systems with Time Delay 13 Outline of the Book 17 Notes 17 1 Deterministic Control 19 2 Deterministic Time Delay Systems 21 Class of Dynamical Linear Systems with Time Delay. 22 Definitions Abstract From the Publisher: Deterministic and Stochastic Time-Delay Systems provides professionals and advanced students in control engineering with the most recent results on deterministic and.
Cite this chapter as: Boukas EK., Liu ZK. () Deterministic Time Delay Systems. In: Deterministic and Stochastic Time-Delay Systems. Control : El-Kébir Boukas, Zi-Kuan Liu. Download Citation | Deterministic and stochastic time delay systems | It is clear from the examples given previously that the the investigation of the class of dynamical time delay systems is of.
Queueing Theory and Stochastic Teletraﬃc Models c Moshe Zukerman 2 book. The ﬁrst two chapters provide background on probability and stochastic processes topics rele-vant to the queueing and teletraﬃc models of this book.
These two chapters provide a summaryFile Size: 2MB. Unlike a deterministic system, for example, a stochastic system does not always produce the same output for a given input. A few components of systems that can be stochastic in nature include stochastic inputs, random time-delays, noisy (modelled as random) disturbances, and even stochastic dynamic processes.
Deterministic and Stochastic Time Delay Systems Written for graduate students and professionals in control engineering, this book discusses deterministic and stochastic dynamical systems with time delay.
Topics covered include robust stability, stabilizability, H-infinity control and filtering, and jump linear systems. This paper is organized as follows: in Section 2 we describe the basic dynamical behavior of the deterministic model system for two competitive phytoplankton species in absence and in presence of discrete time delay; in Section 3 we introduce the stochastic model system corresponding to the delay differential equation model system and calculate Cited by: then this results in a stochastic model with a ﬁxed delay given by system (1).
Note that λ1 only depends on the state. Hence, the assumption of X(t) = 0 for t stochastic model (1) with a ﬁxed delay is as follows. When any of the transitions λ2, λ3 or λ4 ﬁres at time t, the system. Certain deterministic non-linear systems may show chaotic behaviour. Time series derived from such systems seem stochastic when analyzed with linear techniques.
However, uncovering the deterministic structure is important because it allows constructing more realistic and better models and thus improved predictive capabilities.
Introduction --I. Deterministic Control. Deterministic Time Delay Systems. Stability and Stabilizability. Robust Stability and Robust Stabilizability.
H[subscript [infinity]] Control and Filtering. Robust H[subscript [infinity]] Control, Filtering, and Guaranteed Cost Control --II.
Stochastic Control. Stochastic Time Delay. Get this from a library. Deterministic and Stochastic Time-Delay Systems. [El-Kébir Boukas; Zi-Kuan Liu] -- Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their con trol in general a hard problem.
Currently, there. Abstract: Line-of-sight (LOS) delay estimation in multipath scenarios is a central problem in global navigation satellite systems (GNSS).
Deterministic channel models can be used to describe the multipath environment, but this usually requires the estimation of several nuisance : Friederike Wendler, Felix Antreich, Josef A. Nossek, A. Lee Swindlehurst. Stochastic models, brief mathematical considerations • There are many different ways to add stochasticity to the same deterministic skeleton.
• Stochastic models in continuous time are hard. • Gotelliprovides a few results that are specific to one way of adding stochasticity. This book extends the methods to stochastic systems with delays. The book is the first on the subject and will be of great interest to all those who work with stochastic delay equations and whose main interest is either in the use of the algorithms or in the mathematics.
Following an overview of deterministic chemical kinetics and the stochastic approach to biochemical kinetics, the book goes onto discuss the specifics of stochastic simulation algorithms, modelling in systems biology and the structure of biochemical models.
There are two basic kinds of models: The first kind are deterministic models and the second kind are stochastic, or probabilistic models. There .Abstract. The aim of this paper is to investigate the stability and the stabilizability of stochastic time-delay deference system.
To do this, we use mainly two methods to give a list of the necessary and sufficient conditions for the stability and stabilizability of the stochastic time-delay deference by: 1. Abstract: This paper considers the problem of delay-dependent control for a class of Ito stochastic time-delay systems with nonlinear perturbations.
A stochastic integral inequality, which reduces to a deterministic one if there is no stochastic perturbation, is developed. Based on this integral inequality, a delay-dependent sufficient condition for the existence of the desired controller is Author: Chen Yun, Xue Anke, Zhao Xiaodong, Wang Junhong.