Stability analysis in terms of two measures by V. Lakshmikantham

Cover of: Stability analysis in terms of two measures | V. Lakshmikantham

Published by World Scientific in Singapore, River Edge, N.J .

Written in English

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Subjects:

  • Lyapunov functions.,
  • Stability.

Edition Notes

Includes bibliographical references and index.

Book details

StatementV. Lakshmikantham, X.Z. Liu.
ContributionsLiu, Xinzhi, 1956-
Classifications
LC ClassificationsQA871 .L246 1993
The Physical Object
Paginationx, 402 p. ;
Number of Pages402
ID Numbers
Open LibraryOL1405811M
ISBN 109810213891
LC Control Number93014063

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It is natural to ask whether we can find a notion and develop the corresponding theory which unifies and includes a variety of known concepts of stability in a single set up.

The answer is yes and it is the development of stability theory in terms of two measures. It is in this spirit the authors see the importance of the present monograph. Introduction To unify a variety of stability concepts and to offer a general framework for investigation of stability theory, introducing the concept of stability in terms of two measures has been proven to be very useful, see [7,8] and references stpaullimoservice.com by: This paper studies stability problems for two kinds of discrete systems in terms of two different measures.

The basic idea of this approach is to discuss the qualitative behaviour of a map h along solutions of discrete systems whose initial value are measured by a second map h stpaullimoservice.com doing this, one may deal with, in a unified way, several concepts and associated problems, which are usually Cited by: 5.

Buy Stability Analysis of Nonlinear Systems (Chapman & Hall Pure and Applied Mathematics) on stpaullimoservice.com FREE SHIPPING on qualified ordersAuthor: V. Lakshmikantham. Stability in Terms of Two Measures for Nonlinear Impulsive Systems on Time Scales Article (PDF Available) in Journal of Applied Mathematics (2) · February with 17 Reads How we measure.

Presents a systematic account of recent developments in the stability theory in terms of two distinct measures; describes the current state of the art; shows the. Get this from a library. Stability analysis in terms of two measures.

[V Lakshmikantham; Xinzhi Liu] -- The problems of modern society are both complex and multidisciplinary. In spite of the apparent diversity of problems, tools developed in one context are often adaptable to an entirely different.

applications of the stability. Some sufficient conditions for various types of practical stability in terms of two measures of nonlinear impulsive differential equations with “supremum” are obtained. The proofs are based on the application of piecewise continuous Lyapunov functions and Razumikhin method.

Practical stability in terms of two measures for fractional order dynamic systems in Caputo's sense with initial time difference Article in Journal of the Franklin Institute (2)– Slope Stability Analysis by the Limit Equilibrium Method: Fundamentals and Methods presents basic principles for the safe design of constructed or natural earth slopes.

The limit equilibrium method is the most common approach for analyzing slope stability in both two and three Stability analysis in terms of two measures book.

The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme.

It also demonstrates manifestations of the general Lyapunov. Dec 30,  · Abstract. This chapter is devoted essentially to the investigation of stability theory in terms of two measures. It also provides a converse theorem for uniform asymptotic stability in this set up and stresses the importance of employing families of Lyapunov-like functions and the theory of stpaullimoservice.com: Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A.

Martynyuk. To unify a variety of stability concepts and to offer a general framework for the investigation of the stability theory, the notion of stability in terms of two measures has been applied to both the given system and the comparison scalar equation.

An example illustrates the usefulness of the obtained sufficient stpaullimoservice.com by: 9. The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme.

() Stability in terms of two measures of solutions to stochastic partial differential delay equations with switching. Mathematical Methods in the Applied Sciences() New Approach for Stability Analysis of Interconnected Nonlinear Discrete-Time Systems Based on Vector stpaullimoservice.com by: stability analysis of earth slopes This book shows how to design a safe slope, correct an unsafe slope, and assess remedial measures taken on existing slopes.

All the necessary critical data is furnished for analysing both plane and cylindrical failures, including detailed procedures for determining the safety factor for each, for either Cited by: Conventional methods of slope stability analysis can be divided into three groups: kinematic analysis, limit equilibrium analysis, and rock fall simulators.

Most slope stability analysis computer programs are based on the limit equilibrium concept for a two-or three-dimensional model. Start studying stability and buoyancy analysis. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Stability, a property of points in geometric invariant theory; K-Stability, a stability condition for algebraic varieties.

Engineering. In atmospheric fluid dynamics, atmospheric stability, a measure of the turbulence in the ambient atmosphere; BIBO stability (Bounded Input, Bounded Output stability), in signal processing and control theory.

The book consists of five chapters in which the mathematical foundations of the analysis of the stability of systems with a small parameter are given as well as methods of their investigation. The proposed methods are based on nonlinear integral inequalities, the direct Lyapunov method, using scalar, vector and matrix-valued functions, as well.

repetitions by two different operators (or up to three times with three operators) – Standard Study, which requires 25 parts to be measured a minimum of two repetitions by two different operators (or up to three times with three operators) •For the purposes of analysis, a part is equivalent to a dimension.

Nov 01,  · This is the first book that deals with practical stability and its development. It presents a systematic study of the theory of practical stability in terms of two different measures and arbitrary sets and demonstrates the manifestations of general Lyapunov's method by showing how this effective.

Slope Stability Analysis by the Limit Equilibrium Method: Fundamentals and Methods presents basic principles for the safe design of constructed or natural earth stpaullimoservice.com limit equilibrium method is the most common approach for analyzing slope stability in both two and three dimensions.

Slope Stability Analysis by the Limit Equilibrium Method: Fundamentals and Methods presents basic principles for the safe design of constructed or natural earth stpaullimoservice.com limit equilibrium method is the most common approach for analyzing slope stability in both two and three stpaullimoservice.com: Yang H.

Huang. -Define and differentiate among reliability, objectivity, and validity, and outline the methods used to estimate these values.

•Describe the influences of test reliability on test validity. Measures of financial stability – a review Blaise Gadanecz and Kaushik Jayaram1 Introduction Unlike price stability, financial stability is not easy to define or measure given the interdependence and the complex interactions of different elements of the financial.

Aug 19,  · Models for stability analysis 1. Conventional models 2. Regression coefficient models 3. Principal component analysis 4.

Cluster analysis 5. Pattern analysis 6. Factor analysis 8. EBERHART AND RUSSEL MODEL Regression analysis Partioning the G X E interaction of each genotype into two parts namely 1. Slope of the regression line 2. In: Springer eBooks0 Summary: The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme.

It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various. The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme.

Stability Analysis In Terms Of Two Measures Preface.- 1 Inequalities.- 2 Variation of parameters and. Includes Recommendations for Analysis, Design Practice, Design Charts, Tables, and More Using a unified approach to address a medley of engineering and construction problems, Slope Stability Analysis and Stabilization: New Methods and Insight, Second.

Choosing the best clustering method for a given data can be a hard task for the analyst. This article describes the R package clValid (Brock et al. ), which can be used to compare simultaneously multiple clustering algorithms in a single function call for identifying the best clustering approach and the optimal number of clusters.

Stability Analysis of Two-Stage Stochastic Mathematical Programs with Complementarity Constraints via NLP Regularization. Related Databases. the random variables of the regularized two-stage stochastic program is then approximated by a sequence of probability measures.

By treating the approximation problems as a perturbation of the original Cited by: To assess a vesselâ s stability properly requires the measurement of a vesselâ s dynamic stability, currently accomplished using two methods: (1) the vesselâ s metacentric height (GM), which is a pure static stability measurement, and (2) the vesselâ s righting arm curve, which is a quasi-dynamic method.

Financial analysis is the process of evaluating businesses, projects, budgets, and other finance-related transactions to determine their performance and suitability. The Journal of Financial Stability provides an international forum for rigorous theoretical and empirical macro and micro economic and financial analysis of the causes, management, resolution and preventions of financial crises, including banking, securities market, payments and currency crises.

The. Jan 28,  · In terms of the fast SPWT, patients were timed while they walked two lengths (turn excluded) of a m indoor course in response to the instruction: "walk as quickly as you can without overexerting yourself." The ST required patients to ascend and descend 9 stairs (step height, 20 cm) in their usual manner, and at a safe and comfortable stpaullimoservice.com by: Dynamic stability involves righting arms over a large range of heel angles.

This type of analysis involves quantification of volumetric centers of heeled displacement volumes. Dynamic stability is also important because it is a measure of a vessels ability to withstand the effects of wind and waves.

The principles and techniques of stability analysis are covered in two separate chapters. From this basic theory the author develops practical design criteria for new slopes, discusses remedial measures for slope stabilization, and provides guidance on investigation of landslides.

August 02, Comparing Two Measures of Core Inflation: PCE Excluding Food & Energy vs. the Trimmed Mean PCE Index 1. Matteo Luciani and Riccardo Trezzi. The inflation objective of the FOMC is set in terms of the rate of change of the price index for total personal consumption expenditures (PCE).

Add to Book Bag Remove from Book Bag. Journal article views. Stability in Terms of Two Measures for Stochastic Differential Equations with Markovian Switching / Chenggui, Yuan.

Stochastic Analysis and Applications, Volume: 23, Issue: 6, Pages: - Swansea University Author: Chenggui, Yuan. Full text not available from this Cited by: 3.

Stability definition, the state or quality of being stable. See more.Power system stability. The tendency of a power system to develop restoring forces equal to or greater than the disturbing forces to maintain the state of equilibrium is known as stability. Power system stability problems are usually divided into two parts: steady state and stpaullimoservice.com: Kenneth Eloghene Okedu.Analysis of Solvency Ratios.

Examines stpaullimoservice.com Inc.’s capital structure in terms of the mix of its financing sources and the ability of the firm to satisfy its longer-term debt and investment obligations. Solvency Ratios (Summary) Debt to Equity; Debt to Equity (including Operating Lease .

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