4 edition of **Simultaneous stabilization of linear systems** found in the catalog.

- 106 Want to read
- 12 Currently reading

Published
**1993** by Springer-Verlag in London, New York .

Written in English

- Automatic control.,
- Linear systems.

**Edition Notes**

Includes bibliographical references (p. 169-182) and index.

Statement | Vincent Blondel. |

Series | Lecture notes in control and information sciences ;, 191 |

Classifications | |
---|---|

LC Classifications | TJ213 .B584 1993 |

The Physical Object | |

Pagination | xxi, 184 p. : |

Number of Pages | 184 |

ID Numbers | |

Open Library | OL1427519M |

ISBN 10 | 0387198628 |

LC Control Number | 93038668 |

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Simultaneous Stabilization of Linear Systems is devoted to a single question from Linear Systems Theory: "When is it possible to find a controller that stabilizes a finite family of systems?", known as the Simultaneous Stabilization Question.

This question is satisfactorily solved when the number of systems is limited to two but is open for three or more : Springer-Verlag Berlin Heidelberg. Simultaneous Stabilization of Linear Systems is devoted to a single question from Linear Systems Theory: "When is it possible to find a controller that stabilizes a finite family of systems?", known as the Simultaneous Stabilization Question.

This question is satisfactorily solved when the number of systems is limited to two but is open for three or more : Paperback. Simultaneous Stabilization of Linear Systems is devoted to a single question from Linear Systems Theory: "When is it possible to find a controller that stabilizes a.

Simultaneous stabilization of linear systems. [Vincent Blondel] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Vincent Blondel. Find more information about: ISBN: OCLC.

The idea of shared control or simultaneous stabilization for multiple systems has been Simultaneous stabilization of linear systems book mainly for nonlinear systems without time delays or with linear systems with time delays, see. Internal and External Stabilization of Linear Systems with Constraints is an excellent reference for practicing engineers, graduate students, and researchers in control systems theory and design.

The book may also serve as an advanced graduate text for a course or a seminar in nonlinear control systems theory and design in applied mathematics. InYu and Han brought out the socalled transitivity in simultaneous stabilization for three time-varying linear systems, which, when satisfied, will lead to characterizations of simultaneous.

Simultaneous stabilization, avoidance and Goldberg’s constants Alex Eremenko∗ August 9, Dedicated to the memory of A. Goldberg and V. Logvinenko Abstract This is an exposition for mathematicians of some unsolved prob-lems arising in control theory of linear time-independent systems.

The simultaneous stabilization (resp., asymptotic stabilization) of a countable family of control systems consists of finding a control which stabilizes (resp., asymptotically stabilizes) all the systems in the family.

In this paper, we introduce a new method which enables us to show that, given any countable family of stabilizable nonlinear systems, there exists a continuous state feedback Cited by: In simultaneous stabilization of continuous time switched linear system models of inertially coupled dynamic systems with bounded persistent external disturbance and internal parameter variations, the generalized proportional integral derivative (PID) controller suffers from a serious drawback.

Key words: state space, linear control systems, simultaneolls stabilizatioll, Lyapunov methods, control system design 1 INTRODUCTION The simultaneous stabilization problem stems from the performance requirements of systems subject to failures or to changes on the operating : Celso J.

Munaro, Celso P. Bottura. () Sufficient conditions for simultaneous stabilization of three linear systems within the framework of nest algebras. Journal of the Franklin Institute() On the construction of a common stabilizer for families of linear nonstationary by: Simultaneous stabilization problem is shown in many control system design problems, for example the problem to stabilize a nonlinear system with linearized at several operating points by linear controller.

Simultaneous stabilization problem is also applied to the reliable control systems for sensor failure and so on. Many of papers have been. In this paper, we consider the strong stabilization problem for a time-varying linear system which admits a coprime factorization.

We also study the simultaneous and robust stabilization problems for this class of Cited by: CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This is an exposition for mathematicians of some unsolved problems arising in control theory of linear time-independent systems.

The earliest automatic control devices that I know are described in the book of Hero of Alexandria “Pneumatica”, see Fig. In the modern times these devices are omnipresent (almost. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Dedicated to the memory of A.

Goldberg and V. Logvinenko This is an exposition for mathematicians of some unsolved problems arising in control theory of linear time-independent systems. The earliest automatic control devices that I know are described in the book of Hero of Alexandria “Pneumatica”, see Fig.

Based on a recent convex programming algorithm for simultaneous stabilization by linear state feedback, we propose two types of control law for stabilizing a family of systems, when either a simultaneously stabilizing state feedback gain or a simultaneously stabilizing output. In this paper, the adaptive robust simultaneous stabilization problem of two ships is studied.

Firstly, the water surface three-degree-of-freedom ship models are transformed into port-controlled Hamiltonian (PCH) models. Using a single output feedback controller, the two PCH systems are combined to generate an enhanced PCH system based on Hamiltonian structural : Pei Zhou, Renming Yang, Guangyuan Zhang, Yaozhen Han.

The paper considers stable right inverse and stable right null space for a class of generalized linear systems via the stable fractional theory. Simultaneous stabilization problem for a class of generalized linear systems is discussed in terms of stable right inverse and stable right null space.

A design approach of the simultaneously stabilizing controllers is proposed and parameterized using. ×Close. The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data.

Lin, A. Saberi and A.R. Teel, ``Simultaneous L_p-stabilization and internal stabilization of linear systems subject to input saturation -- state feedback case," Systems and Control Letters.

Most nonlinear systems can be modeled as linear systems with constrains on their inputs and selected outputs. Unifying two decades of research, this book is the first to establish a comprehensive foundation for a systematic analysis and design of such systems The authors address the following issues in the work: * Internal or Lyapunov stability, external L_p stability, and simulatneous.

This chapter considers the design of event-triggered static output feedback simultaneous H∞ controllers for a collection of networked control systems (NCSs). It is shown that conventional point-to-point wiring delayed static output feedback simultaneous H∞ controllers can be obtained by solving linear matrix inequalities (LMIs) with a linear matrix equality (LME) : Sheng-Hsiung Yang, Jenq-Lang Wu.

Jin, Z., Shen Q. and Yong, S.Z. “Optimization-Based Approaches for Affine Abstraction and Model Discrimination of Uncertain Nonlinear Systems.” IEEE Conference on Decision and Control, Nice, France, Khajenejad, M. and Yong, S.Z. “Simultaneous Mode, Input and State Set-Valued Observers with Applications to Resilient Estimation against Sparse Attacks.”.

The question of simultaneous stabilization of k + 1 systems encompasses that of strong simultaneous stabilization of k systems, i.e. that of simul-taneous stabilization of k systems with a stable controller. Indeed, assume 1We draw the reader’s attention on the fact that this is pure convention.

Other authors deﬂne ›-stability in exactly. @article{osti_, title = {Stabilization of model-based networked control systems}, author = {Miranda, Francisco and Instituto Politécnico de Viana do Castelo, Viana do Castelo and Abreu, Carlos and CMEMS-UMINHO, Universidade do Minho, Braga and Mendes, Paulo M.}, abstractNote = {A class of networked control systems called Model-Based Networked Control Systems (MB-NCSs) is considered.

This book presents a unified algebraic approach to stabilization problems of linear boundary control systems with no assumption on finite-dimensional approximations to the original systems, such as the existence of the associated Riesz basis.

A new proof of the stabilization result for linear system. Contents ix Multi-contingency simultaneous stabilization Principle of generation reallocation Illustration on the 3-machine system File Size: 2MB. Linear System Theory In this course, we will be dealing primarily with linear systems, a special class of sys-tems for which a great deal is known.

During the ﬁrst half of the twentieth century, linear systems were analyzed using frequency domain (e.g., Laplace and z-transform)File Size: KB. This book originates from several editions of lecture notes that were used as teach-ing material for the course ‘Control Theory for Linear Systems’, given within the framework of the national Dutch graduate school of systems and control, in the pe-riod from to The aim of this course is to provide an extensive treatment.

The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered. A method based on a Brauer’s theorem is proposed for solving the problem. It allows us to modify some eigenvalues of the system without changing the rest of them.

The problem is studied for the single-input single-output (SISO) and for multi-input multioutput (MIMO) cases and Cited by: 3. Simultaneous stabilization, avoidance and Goldberg’s constants and V.

Logvinenko This is an exposition for mathematicians of some unsolved problems arising in control theory of linear time-independent systems. The earliest automatic control devices that I know are described in the book of Hero of Alexandria “Pneumatica”, see Fig.

Author: Alex Eremenko. In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables. For example, + − = − + = − − + − = is a system of three equations in the three variables x, y, z.A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

Zhao L. Qiu and G. Gu, “Stabilization of two-port networked systems with simultaneous uncertainties in plant, controller, and communication channels”, IEEE Trans.

on Automatic Control, conditionally accepted, W. Chen, J. Yao and L. Qiu, “Networked stabilization of multi-input systems over shared channels with scheduling/control co-design”, Automatica, vol. 99, pp.Jan. The basic problem of linear algebra is to solve a system of linear equations.

A linear equation in the n variables—or unknowns— x 1, x 2,and x n is an equation of the form. where b and the coefficients a i are constants.

A finite collection of such linear equations is called a linear solve a system means to find all values of the variables that satisfy all the equations in.

of for Stabilization Theory Nambu: New Linear Takao Systems Control Boundary by by Boundary Control of Linear Takao New for Systems Theory Stabilization Nambu:: $ Theory of Stabilization for Linear Boundary Control Systems by Takao Nambu: New Theory of Stabilization. linear signals and systems and control systems.

Beyond the traditional undergraduate mathematics preparation, including calculus, differential equations, and basic matrix computations, a prior or concurrent course in linear algebra is beneﬁcial but not essential.

This book strives to provide both a rigorously established foundation. Stability and Stabilization of Linear and Fuzzy Time-Delay Systems: A Linear Matrix Inequality Approach Rajeeb Dey, Goshaidas Ray, Valentina Emilia Balas (auth.) This book provides a clear understanding in formulating stability analysis and state feedback control of retarded time delay systems using Lyapunov’s second method in an LMI framework.

() Finite‐time robust simultaneous stabilization of a set of nonlinear time‐delay systems. International Journal of Robust and Nonlinear Control() Finite-time adaptive fuzzy tracking control for nonlinear systems with disturbances and dead-zone by: Nonlinear feedback design for fixed-time stabilization of Linear Control Systems Andrey Polyakov To cite this version: Andrey Polyakov.

Nonlinear feedback design for fixed-time stabilization of Linear Control Systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers,57 (8), pp hal Cited by:.

It is well known from the seminal Brockett's theorem that the openness property of the mapping on the right-hand side of a given nonlinear ODE control system is a necessary condition for the existence of locally asymptotically stabilizing continuous stationary feedback laws.

However, this condition fails to be sufficient for such a feedback by: 4.IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 54, NO. 2, FEBRUARY Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results Hai Lin, Member, IEEE, and Panos J.

Antsaklis, Fellow, IEEE Abstract—During the past several years, there have been in-creasing research activities in the ﬁeld of stability analysis andCited by: Linear Systems Few physical elements display truly linear characteristics.

For example the relation between force on a spring and displacement of the spring is always nonlinear to some degree. The relation between current through a resistor and voltage drop across it also deviates from a straight-line relation. However, ifFile Size: KB.