1 edition of **Stability and Stabilization of Infinite Dimensional Systems with Applications** found in the catalog.

- 54 Want to read
- 12 Currently reading

Published
**1999** by Springer London in London .

Written in English

- Engineering,
- Systems theory

This book reports on recent achievements in stability and feedback stabilization of infinite systems. In particular emphasis is placed on second order partial differential equations, such as Euler-Bernoulli beam equations, which arise from vibration control of flexible robot arms and large space structures. Various control methods such as sensor feedback control and dynamic boundary control are applied to stabilize the equations. Many new theorems and methods are included in the book. Proof procedures of existing theorems are simplified, and detailed proofs have been given to most theorems. In addition to benefiting from the presentation of new results on semigroups and their stability, readers can also learn several useful techniques for solving practical engineering problems. Until now, the recently obtained research results included in this book were unavailable in one volume. This self-contained book is an invaluable source of information for all those who are familiar with some basic theorems of functional analysis.

**Edition Notes**

Statement | by Zheng-Hua Luo, Bao-Zhu Guo, Omer Morgul |

Series | Communications and Control Engineering, Communications and control engineering |

Contributions | Guo, Bao-Zhu, Morgul, Omer |

Classifications | |
---|---|

LC Classifications | TJ212-225 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (xiii, 403 p.) |

Number of Pages | 403 |

ID Numbers | |

Open Library | OL27088928M |

ISBN 10 | 1447111362, 1447104196 |

ISBN 10 | 9781447111368, 9781447104193 |

OCLC/WorldCa | 853271760 |

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This book reports on recent achievements in stability and feedback stabilization of infinite systems. In particular emphasis is placed on second order partial differential equations, such as Euler-Bernoulli beam equations, which arise from vibration control of flexible robots arms Cited by: Shahruz S and El-Shaer A Stability of a nonlinear axially moving string Proceedings of the conference on American Control Conference, () Cheng M, Radisavljevic V and Su W Sliding mode boundary control of unstable parabolic PDE systems with parameter variations and matched disturbances Proceedings of the conference on American Control Conference, ().

Integral input-to-state stability is an interesting concept that has been recently introduced to nonlinear control systems. This paper generalizes this concept to nonlinear control systems with delays. These delays can be bounded, unbounded, and even infinite.

Stability and Stabilization of Infinite Dimensional Systems with Applications book Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications such as stochastic control, population biology, and turbulence, where the analysis and control of such systems involves investigating their by: [41].

and []. this book reports some recent achievements in stability and feedback stabilization of infinite dimensional systems. In particular, emphasis will be placed on the second order partial differential equations. such as Euler-Bernoulli beam equations.

which arise from control of numerous mechanical systems stich as flexible robot arms and large space structures. On the Fractional Output Stabilization for a Class of Infinite Dimensional Linear Systems. Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications, () Characterization by observability inequalities of controllability and stabilization by: Download Citation | OnHans Zwart and others published Stability and stabilization of infinite-dimensional systems with applications, Z-H.

Luo, B-Z. Guo and O. Morgul, Springer Author: Hans Zwart. We investigate the stability and stabilization concepts for infinite dimensional time fractional differential linear systems in Hilbert spaces with Caputo derivatives. Firstly, based on a family of operators generated by strongly continuous semigroups and on a probability density function, we provide sufficient and necessary conditions for the exponential stability of the considered class of Author: Hanaa Zitane, Ali Boutoulout, Delfim F.

Torres. Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces are investigated. This class is general enough to include models of beams and waves as well as transport and Schrödinger equations with boundary control and observation.

The analysis is based on the frequency domain method which gives new results for second order port-Hamiltonian systems and Cited by: Note: If you're looking for a free download links of Stability and Stabilization of Infinite Dimensional Systems with Applications (Communications and Control Engineering) Pdf, epub, docx and torrent then this site is not for you.

only do ebook promotions online and we does not distribute any free download of ebook on this site. This book reports on recent achievements in stability and feedback stabilization of infinite systems.

Various control methods such as sensor feedback control and dynamic boundary control are applied to stabilize the new theorems and methods are included in the book. () On the Stabilization of a Flexible Beam with a Tip Mass. SIAM Journal on Control and OptimizationAbstract | PDF ( KB) () Stability of linear systems Cited by: Get this from a library.

Stability and Stabilization of Infinite Dimensional Systems with Applications. [Zheng-Hua Luo; Bao-Zhu Guo; Omer Morgul] -- This book reports on recent achievements in stability and feedback stabilization of infinite systems.

In particular emphasis is placed on second order partial differential equations, such as. Book Description Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications such as stochastic control, population biology, and turbulence, where the analysis and control of such systems involves investigating their stability.

Stability and Stabilization of Infinite Dimensional Systems with Applications的话题 (全部 条) 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。. His current research interests include stability, controllability, and control of infinite-dimensional systems, in particular for port-Hamiltonian systems.

Sincehe also has a one-day per week position in the Dynamic and Control group, Department of Mechanical Engineering, Eindhoven University of Cited by: Stability and stabilization of interconnected systems play an important role in many applications (De Leenheer et al.,Ito,Jiang et al.,Mehraeen et al., a, Mehraeen et al., b).

In case of large scale systems it is often desired to have decentralized control laws (Mehraeen et al., a, Mehraeen et al., b).Cited by: 3. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

Reviews Review of the hardback:‘This outstanding monograph will be a great source both for experts and for graduate students interested in calculus of variations, non-linear Cited by: Robust stabilization of inﬁnite-dimensional systems using sliding-mode output feedback control inﬁnite-dimensional system into an interconnection of a ﬁnite-dimensional (possibly unstable) system and an inﬁnite- in many real-life applications where the available number of sensors and actuators is typically small.

Stability and stabilization of infinite dimensional systems with applications Stability and stabilization of infinite dimensional systems with applications Gu, Keqin Spurred by the outer space applications, such as flexible link manipulators and antennas, a flurry of research activities have been focused on the control of flexible structures.

Book review: Stability and stabilization of infinite-dimensional systems with applications / by Z-H. Luo, B-Z. Guo and O. Morgu. - London: Springer, Author: Hans Zwart.

Read "Stability and stabilization of infinite‐dimensional systems with applications, Z‐H. Luo, B‐Z. Guo and O. Morgul, Springer, London, U.K. xi + pp., International Journal of Robust and Nonlinear Control" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

In this paper, we focus on infinite dimensional linear systems for which a fixed gain linear infinite or finite dimensional controller is already in place. It is usually true that fixed gain controllers are designed for particular applications but these controllers may not be able to stabilize the plant under all variations in the operating : Mark J.

Balas, Susan A. Frost. A unified approach to the multivariable Nyquist stability criterion for various classes of nonrational transfer functions is presented.

It is not asumed that the transfer matrix of the open-loop system can be extended meromorphically across the imaginary axis into the left-half plane. Applications to robust stabilization are by: 3. This book presents novel results by participants of the conference “Control theory of infinite-dimensional systems” that took place in January at the FernUniversität in Hagen.

Topics include well-posedness, controllability, optimal control problems as well as stability of linear and nonlinear systems, and are covered by world-leading. Scapular Stabilization Exercise Scapular Clock Exercise. exercisesforinjuries. Read Stability and Stabilization of Infinite Dimensional Systems with Applications (Communications.

Eidacyone. New Book Stability and Stabilization of Infinite Dimensional Systems with Applications. JacquelineReddy. Communications and Control Engineering: Stability and Stabilization of Infinite Dimensional Systems with Applications by Zheng-Hua Luo, Bao-Zhu Guo, Ömer Morgül Unknown, Pages, Published ISBN / ISBN / Zheng-Hua Luo, Bao-Zhu Guo, Ömer Morgül.

the continuous functions – e "T(s) to is periodic with per Pages: R. Somaraju, M. Mirrahimi and P. Rouchon, Approximate stabilization of an infinite dimensional quantum stochastic system, 50th IEEE Conference on Decision and Control and European Control Conference () pp.

– Google ScholarCited by: 2. STABILITY OF INFINITE-DIMENSIONAL SAMPLED-DATA SYSTEMS HARTMUT LOGEMANN, RICHARD REBARBER, AND STUART TOWNLEY Abstract.

Suppose that a static-state feedback stabilizes a continuous-time linear in nite-dimensional control system. We consider the following question: if we construct a sampled-data controller by applying an idealized sample-and-Cited by: Stabilization of port-Hamiltonian systems by nonlinear dynamic boundary control.- Polynomial stability of two coupled strings.- Towards funnel control of a moving water tank.- Multi-scale unique continuation principle applied to control theory of the heat equation.- The Hamiltonian approach to Riccati equations for infinite-dimensional systems (Please note: book is copyrighted by Springer-Verlag.

Springer has kindly allowed me to place a copy on the web, as a reference and for ease of web searches. Please consider buying your own hardcopy.) Precise reference: Eduardo D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems.

It deals with both finite- and infinite-dimensional nonconservative systems and covers the fundamentals of the theory, including such topics as Lyapunov stability and linear stability analysis, Hamiltonian and gyroscopic systems, reversible and circulatory systems, influence of structure of forces.

Stability of Infinite Dimensional Stochastic Differential Equations with Applications presents up-to-date, complex material in an accessible way. Focusing mainly on Hilbert spaces, this book features an in-depth discussion of infinite dimensions, including the notion of L2-stability in mean.

Paper studied the concept of stabilization with internal loop for infinite-dimensional discrete time-varying systems and gave a parameterization of all stabilizing controllers with internal loop if has a well-posed inverse in the framework of nest : Nai-feng Gan, Yu-feng Lu, Ting Gong.

The use of this book as a reference text in stability theory is facilitated by an extensive index In conclusion, Stability of Dynamical Systems: Continuous, Discontinuous, and Discrete Systems is a very interesting book, which complements the existing literature.

The book is clearly written, and difficult concepts are illustrated by means. This chapter considers the question of the output stabilization for a class of infinite dimensional semilinear system evolving on a spatial domain Ω by controls depending on the output operator.

First we study the case of bilinear systems, so we give sufficient conditions for exponential, strong and weak stabilization of the output of such : El Hassan Zerrik, Lahcen Ezzaki.

on conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping falk m. hante, mario sigalotti and marius tucsnak abstract. We study the asymptotic stability of a dissipative evolution in a Hilbert space subject to intermittent damping.

control systems, i.e. systems with a ﬁnite-dimensional state space. However, many important control systems are inﬁnite-dimensional, in particular, systems based on partial diﬀerential equations (PDEs) and time-delay systems.

In contrast to time-delay systems, for which input-to-state stability. Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics.

This monograph addresses the problem of stability analysis and the stabilization of dynamical systems subjected to time-delays. It focuses on stabilization of systems with slow and fast motions, on stabilization procedures that use only poor information about the system (high-gain stabilization and adaptive stabilization), and also on discrete time implementa tion of the stabilizing procedures.

These topics are important in many applications of stabilization theory. A distributed parameter system (as opposed to a lumped parameter system) is a system whose state space is infinite- dimensional.

Such systems are therefore also known as infinite-dimensional systems. Typical examples are systems described by partial differential equations or by delay differential equations.Luo, Zheng-Hua; Guo, Bao-Zhu; Morgul, Omer (), Stability and Stabilization of Infinite Dimensional Systems with Applications, Springer; Arendt, Wolfgang; Batty, Charles (), Tauberian theorems and stability of one-parameter semigroups, Transactions of the American mathematical society.

This study is interested in the stability and stabilization of a class of fractional-order nonlinear systems with Caputo derivatives. Based on the properties of the Laplace transform, Mittag-Leffler function, Jordan decomposition, and Grönwall's inequality, some sufficient conditions that ensure local stability and stabilization of a class of fractional-order nonlinear systems under the Author: Sunhua Huang, Bin Wang.