Last edited by Mazusar
Monday, July 6, 2020 | History

2 edition of Mikhailov stability criterion for time-delayed systems found in the catalog.

Mikhailov stability criterion for time-delayed systems

L. Keith Barker

Mikhailov stability criterion for time-delayed systems

by L. Keith Barker

  • 227 Want to read
  • 19 Currently reading

Published by National Aeronautics and Space Administration, Scientific and Technical Information Office, for sale by the National Technical Information Service in [Washington], Springfield, Va .
Written in English

    Subjects:
  • Delay differential equations.,
  • Stability.

  • Edition Notes

    StatementL. Keith Barker, Langley Research Center.
    SeriesNASA technical memorandum ; 78803, NASA technical memorandum -- 78803.
    ContributionsUnited States. National Aeronautics and Space Administration. Scientific and Technical Information Office., Langley Research Center.
    The Physical Object
    Pagination17 p. :
    Number of Pages17
    ID Numbers
    Open LibraryOL17648374M

    The presented work is concerned with analysis and design of interval uncertainty control systems, with regard to clustering of poles inside a simple symmetric bounded contour Γ. We extend the well known Nyquist and Mikhailov stability theorems to Γ - stability tests of uncertain systems, defined by their generalized Bode envelopes. This paper presents an eigenvalue assignment method for the time-delay systems with feedback controllers. A new form of Runge–Kutta algorithm, generalized from the classical fourth-order Runge–Kutta method, is utilized to stabilize the linear delay differential equation (DDE) with a .

    This criterion was first proposed by H. Nyquist for feedback amplifiers; it is one of the frequency criteria for the stability of linear systems (similar, e.g., to the Mikhailov criterion, see,). A technique based on the Mikhailov stability criterion has been developed to study the effects of time delays on the stability of linear systems. DOI: / Full Text Available.

    Keywords Fractional-order PI controller, generalized modified Mikhailov criterion, load–frequency control system, stability boundary locus, stability region, time-delay systems References Aström, KJ, Hägglund, T () PID Controllers. P. Park, A delay-dependent stability criterion for systems with uncertain time-invariant delays, IEEE Transactions on Automatic Control, 44 () Google Scholar Cross Ref; br P.G. Park, J.W. Ko, Stability and robust stability for systems with a time-varying delay, Automatica, 43 () Google Scholar Digital Library.


Share this book
You might also like
I remember

I remember

Virginia criminal law case finder

Virginia criminal law case finder

Know Your Own Mind

Know Your Own Mind

Kings of infinite space.

Kings of infinite space.

Twentieth century Christianity

Twentieth century Christianity

How to do your own divorce in Texas

How to do your own divorce in Texas

trial of Jesus Christ

trial of Jesus Christ

3-fabric quilts

3-fabric quilts

The labor problem in the United States and Great Britain

The labor problem in the United States and Great Britain

A persuasive to frequent communion in the holy sacrament of the Lords Supper

A persuasive to frequent communion in the holy sacrament of the Lords Supper

Ewald Tragy

Ewald Tragy

A day with a tramp

A day with a tramp

Lewis Grassic Gibbon

Lewis Grassic Gibbon

Human reproduction

Human reproduction

Mikhailov stability criterion for time-delayed systems by L. Keith Barker Download PDF EPUB FB2

The Mikhailov criterion is used to examine the stability of dynamical systems that are described by linear ordinary differential equations with constant coefficients. Kashiwagi (ref. 1) indicates that this criterion can be used with only limited success when there are constant time delays in the system.

Yet recently, Chen and Tsay (ref. 2) haveAuthor: L. Barker. Mikhailov stability criterion for time-dalayed systems. [Washington]: National Aeronautics and Space Administration, Scientific and Technical Information Office ; Springfield, Va.: For sale by the National Technical Information Service, (OCoLC) Material Type: Government publication, National government publication: Document Type: Book.

Requiring only basic knowledge of linear systems and Lyapunov stability theory, Stability of Time-Delay Systems, 2nd ed is accessible to a broad audience of researchers, professional engineers, and graduate students. It may be used for self-study or as a reference; portions of the text may be used in advanced graduate courses and seminars.

The valid and invalid application of the Mikhailov criterion to linear, time-invariant systems with time delays is discussed.

The Mikhailov criterion is a graphical procedure which was developed to examine the stability of linear, time-invariant systems with no time delays. Two equivalent formulations of the criterion are : L.

Barker. This paper deals with the stability analysis of biological delay systems. The Mikhailov criterion of stability is presented (and proved in the Appendix) for the case of discrete delay and distributed delay (i.e., delay in integral form).

Mikhailov's Stability Criterion Algebraic Stability Criteria Frequency Stability Criterion Width of Stability Region and Stability Reserve VIII. Choice of Structure and Parameters of Ordinary Linear Automatic Regulation Systems from the Stability Condition Use of the Vyshnegradskii Stability Criterion Pekar revised and extended the Mikhailov criterion to the stability and stabilisation of a domain plots in general and thus are not useful for time-delayed systems with time-varying factors.

Through the construction of an augmented LKF, improved delay-dependent stability criteria for discrete time-delay systems are established. Based on this, a time-delayed controller is derived for linear discrete time-delay systems.

Finally, the advantages of the proposed criteria are revealed from the solutions of the numerical examples. Therefore, stability results of time-delay systems could be applied to design time-delayed controller. The present study, based on a new Lyapunov functional, an improved delay-dependent stability criterion for discrete-time systems with.

The obtained stable regions are tested by the time-domain simulations and the generalized and modified Mikhailov (GMM) criterion. The effect of τ and λ on the stable parameter region of the FOPI controller for a fuel cell microgrid with time delay has been shown in the literature for the first time through this study.

Stability Analysis of Systems with Time Delay Simulation Program Senior Project Report June 8, Brandon Replogle Matthew Carroll Advisor: Dr.

Xiao-Hua (Helen) Yu. Table of Contents Abstract_____4 Chapter 1. Introduction_____5 Chapter 2. Literature review_____7.

Abstract: This paper presents a generalization of Hurwitz, Nyquist, and Mikhailov stability criteria for investigations of relative stability of linear-feedback systems. The generalization utilizes the Chebyshev functions, which greatly simplify the analysis procedure and make it convenient for computer applications.

The stability of linear neutral delay-differential systems with a single delay via Routh–Hurwitz and Schur–Cohn criteria is investigated. Some algebraic criteria for delay-independent stability are presented. These criteria may complement those reported in the literature.

Finally, two examples illustrate the criteria. Time‐delay systems: Stability and performance criteria with applications S. Banks Department of Automatic Control, and Systems Engineering, University.

The book can be useful to engineers, applied mathematicians, and graduate students." ―IEEE Control Systems Magazine "This book is written by famous scientists in the area of time-delay systems. It presents a systematic treatment of the theory of such systems and their s: 1.

Abstract. Febru WSPC/JBS Journal of Biological Systems, Vol. 12, No. 1 () 45{60 c World Scienti c Publishing Company BIOLOGICAL DELAY SYSTEMS AND THE MIKHAILOV CRITERION OF STABILITY URSZULA FORYS Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, Warsaw University, Banacha 2, 02.

Purchase Stability, Control and Application of Time-Delay Systems - 1st Edition. Print Book & E-Book. ISBNThis book presents new methods {or controller design. and Mikhailov stability criteria for investigations of relative stability of linear-feedback systems. The result clearly shows that.

() The Corduneanu-Popov Approach to the Stability of Nonlinear Time-Varying Systems. SIAM Journal on Applied MathematicsAbstract | PDF ( KB). Zhang W, Cai X and Han Z () Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations, Journal of Computational and Applied Mathematics,(), Online publication date: 1-May.

This paper gives sufficient conditions for the practical and finite time stability of linear continuous time delay systems of the form X(t)=A 0 X(t)+A 1 X(t−τ). When we consider finite time stability, these new, delay independent conditions are derived using the approach based on Lyapunov-Krassovski functionals.representative system with both a time delay and parametric ex-citation.

Mathieu 31 used this equation, without the time-delay and damping terms, to study the oscillations of an elliptic mem-brane. Bellman and Cooke 32 and Bhatt and Hsu 33 both made attempts to lay out the criteria for stability .() Delay-independent stability criteria for a class of retarded dynamical systems with two delays.

Journal of Sound and VibrationSue Ann Campbell, R. Edwards.