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Sunday, August 2, 2020 | History

3 edition of Stability and stabilization of nonlinear systems with random structure found in the catalog.

Stability and stabilization of nonlinear systems with random structure

I. Ya Kats

Stability and stabilization of nonlinear systems with random structure

by I. Ya Kats

  • 222 Want to read
  • 9 Currently reading

Published by Taylor & Francis in London, New York .
Written in English

    Subjects:
  • Stability,
  • Random dynamical systems,
  • Nonlinear theories

  • Edition Notes

    Includes bibliographical references (p. 219-234) and index

    StatementI. Ya. Kats and A.A. Martynyuk
    SeriesStability and control -- v. 18
    ContributionsMartyni︠u︡k, A. A.
    Classifications
    LC ClassificationsQA871 .K38 2002
    The Physical Object
    Paginationxv, 236 p. :
    Number of Pages236
    ID Numbers
    Open LibraryOL18140485M
    ISBN 10041527253X
    LC Control Number2002027129

    History. Lyapunov stability is named after Aleksandr Mikhailovich Lyapunov, a Russian mathematician who defended the thesis The General Problem of Stability of Motion at Kharkov University in A. M. Lyapunov was a pioneer in successful endeavoring to develop the global approach to the analysis of the stability of nonlinear dynamical systems by comparison with the widely spread local. stabilization of nonlinear systems for the corresponding control spaces constitute the primary tools for control design. I. INTRODUCTION Randomly switched systems generally consist of a finite family of subsystems and a random switching signal that specifies .

    Structural stability and nonlinear behavior of structures are briefly explained in this chapter. Due to strong earthquake ground motion, the structural response goes over the linear elastic limit. If structures have large deformation capability, earthquake energy is absorbed by nonlinear and inelastic behavior. However, for structures with small. This paper presents an adaptive robust controller for a class of uncertain chaotic Rossler system with time-varying mismatched parameters. The proposed controller is designed based on Lyapunov stability theory, and it is shown that using this controller all signals of the closed-loop system are uniformly ultimately bounded (UUB).

    A very simple nonlinear system can be unstable while a very complex nonlinear system can be stable. When a system is designed, the first important problem is to guarantee the system stability. The nonlinearity of a system results many various behaviors that makes impossibility to classify the nonlinear systems in distinguished categories and. Nonlinear Physical Systems and continuous components. Bifurcation theory of these operators including their nonlinear extensions provides challenging non-trivial problems of important physical relevance. A particularly challenging class of spectral and stability problems arises from the so-called hybrid models of plasma physics.


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Stability and stabilization of nonlinear systems with random structure by I. Ya Kats Download PDF EPUB FB2

Stability and Stabilization of Nonlinear Systems with Random Structures (Stability and Control: Theory, Methods and Applications Book 18) - Kindle edition by Martynyuk, A.A.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Stability and Stabilization of Nonlinear Systems with Random Structures Format: Kindle. Nonlinear systems with random structures arise quite frequently as mathematical models in diverse disciplines.

This monograph presents a systematic treatment of stability theory and the theory of stabilization of nonlinear systems with random structure in terms of new developments in the direct Lyapunov's by: 9. Book Description. Nonlinear systems with random structures arise quite frequently as mathematical models in diverse disciplines.

This monograph presents a systematic treatment of stability theory and the theory of stabilization of nonlinear systems with random structure in terms of new developments in the direct Lyapunov's method.

Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of stability and feedback stabilization methods, which enables the reader to learn and understand major techniques used in mathematical control theory.

A new approach for solving the optimal stabilization problem, based on power estimates of the trajectories, is proposed for a class nonlinear systems in critical cases. This book deals with a. Keywords: Markov jump systems, nonlinear quadratic systems, local stabilization, stability region.

INTRODUCTION Markov jump systems, namely dynamic systems that are subject to random abrupt parameters changes in their structure which are modeled via a Markov process, constitute an important class of dynamic systems and find applications in a. The problem of stabilizing dynamical nonlinear systems by introducing random “Analytical Study on n-th Order Linear System with Stochastic Coefficients,” Proceedings of the IUTAM Symposium on Stability of Stochastic Dynamical Systems Hijawi M.

() Stabilization of Nonlinear Hydroelastic Structures via Random Parametric Excitation. probability of randomly switched systems; a variant of stability in the mean is also obtained. Based on our analysis, we propose control schemes which achieve almost sure stabilization and stabilization in the mean for systems with control inputs, by employing the universal formula for nonlinear feed-back stabilization [20].

switched systems with control inputs; the analysis results are utilized in conjunction with multiple control-Lyapunov functions and universal formulas for feedback stabilization of nonlinear systems.

This approach lends a modular structure to the synthesis stage and facilitates the usage of standard off-the-shelf controllers. iii. () Stabilization of nonlinear hybrid stochastic delay systems by feedback control based on discrete-time state and mode observations. Applicable Analysis 2, () Regime-switching diffusion processes: strong solutions and strong Feller property.

Stability and Stabilization of Nonlinear Systems It seems that you're in USA. We have a Stability and Stabilization of Nonlinear Systems. Editors: Aeyels, Dirk, Lamnabhi *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the. Nonlinear systems with random structures arise frequently as mathematical models in diverse disciplines.

This text presents a treatment of theory stability and theory of stabilization of nonlinear systems with random structure in terms of development of the direct Lyapunov's method. The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals.

Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov.

Abstract. The paper deals with nonlinear differential systems with random parameters in a general form. A new method for construction of the Lyapunov functions is proposed and is used to obtain sufficient conditions for -stability of the trivial solution of the considered systems.

Based on the homogeneous domination approach and stochastic nonlinear time-delay system stability criterion, this paper investigates the global state-feedback stabilization problem for a class of.

() Stochastic input-to-state stability of random impulsive nonlinear systems. Journal of the Franklin InstituteWei Ren and Junlin Xiong. 1 Linear vs. Nonlinear.- 2 Planar Dynamical Systems.- 3 Mathematical Background.- 4 Input-Output Analysis.- 5 Lyapunov Stability Theory.- 6 Applications of Lyapunov Theory.- 7 Dynamical Systems and Bifurcations.- 8 Basics of Differential Geometry.- 9 Linearization by State Feedback.- 10 Design Examples Using Linearization.- 11 Geometric Nonlinear Control.- 12 Exterior Differential Systems in.

stochastic (nonlinear) disturbance attenuation where the task is to make the system solution bounded (in expectation, with appropriate nonlinear weighting) by a monotone function of the supremum of the covariance of the noise. This is a natural sto-chastic counterpart of the problem of input-to-state stabilization in the sense of Sontag.

In mathematics, in the theory of differential equations and dynamical systems, a particular stationary or quasistationary solution to a nonlinear system is called linearly unstable if the linearization of the equation at this solution has the form =, where A is a linear operator whose spectrum contains eigenvalues with positive real part.

If all the eigenvalues have negative real part, then. This paper investigates the algebraic formulation and stability analysis for a class of Markov jump networked evolutionary games by using the semitensor product method and presents a number of new results.

Firstly, a proper algorithm is constructed to convert the given networked evolutionary games into an algebraic expression. Secondly, based on the algebraic expression, the stability of the. 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 .This book provides its reader with a good understanding of the stabilization of switched nonlinear systems (SNS), systems that are of practical use in diverse situations: design of fault-tolerant systems in space- and aircraft; traffic control; and heat propagation control of semiconductor power chips.Keywords: Markov jump systems, nonlinear quadratic systems, local stabilization, stability region.

1. INTRODUCTION Markov jump systems, namely dynamic systems that are sub-ject to random abrupt parameters changes in their structure which are modeled via a Markov process, constitute an im-portant class of dynamic systems and nd applications in a.