Results 191 to 200 of about 72,754 (241)
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1999
The study of the stability of dynamical systems has a very rich history. Many famous mathematicians, physicists, and astronomers worked on axiomatizing the concepts of stability. A problem, which attracted a great deal of early interest was the problem of stability of the solar system, generalized under the title “the N-body stability problem.” One of ...
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The study of the stability of dynamical systems has a very rich history. Many famous mathematicians, physicists, and astronomers worked on axiomatizing the concepts of stability. A problem, which attracted a great deal of early interest was the problem of stability of the solar system, generalized under the title “the N-body stability problem.” One of ...
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Stability Theory via Vector Lyapunov Functions
2011This chapter describes a fundamental stability theory for nonlinear dynamical systems using vector Lyapunov functions. It first introduces the notation and definitions before developing stability theorems via vector Lyapunov functions for continuous-time and discrete-time nonlinear dynamical systems.
Wassim M. Haddad, Sergey G. Nersesov
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Power system stability enhancement using Lyapunov theory
2016 International Conference on Emerging Technologies (ICET), 2016This paper describes the enhancement of power system stability using the application of Lyapunov stability theory. It is proved that system becomes more stable with the inclusion of additional controls in the model. Method of mathematical manipulation is used.
Osama Abdur Rehman, Naeem Iqbal
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2014
Basic concepts for the Lyapunov stability are introduced. Conditions are obtained for the stability of linear equations with constant, periodic, and general variable coefficients. Linearization and Lyapunov functions are used to deal with nonlinear stability problems.
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Basic concepts for the Lyapunov stability are introduced. Conditions are obtained for the stability of linear equations with constant, periodic, and general variable coefficients. Linearization and Lyapunov functions are used to deal with nonlinear stability problems.
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2018
Stability of nonlinear systems are discussed in this chapter. Lyapunov stability, asymptotic stability, and exponential stability of an equilibrium point of a nonlinear system are defined. The Lyapunov’s direct method is introduced as an indispensable tool for analyzing stability of nonlinear systems.
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Stability of nonlinear systems are discussed in this chapter. Lyapunov stability, asymptotic stability, and exponential stability of an equilibrium point of a nonlinear system are defined. The Lyapunov’s direct method is introduced as an indispensable tool for analyzing stability of nonlinear systems.
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Lyapunov stability theory based complex valued adaptive filter design
2014 22nd Signal Processing and Communications Applications Conference (SIU), 2014In this study, a novel complex valued adaptive filter algorithm is proposed satisfying stability in the sense of Lyapunov. The prediction capability of the proposed algorithm is presented by using complex valued autoregressive process and wind signal in the literature.
Menguc, Engin Cemal, Acir, Nurettin
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Stability theory and Lyapunov's second method
Archive for Rational Mechanics and Analysis, 19631. Introduct ion In two papers appearing in t949 and t956, MASSERA [8, 9] made a number of significant advances in LYAPUNOV'S second method and the theory of stability of ordinary differential equations. He extended the work of LYAPUNOV [31, MALKIN [4--71 and others and arrived at both necessary and sufficient conditions for stability in terms of a ...
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Control of Synchronous Orbit Using Lyapunov Stability Theory
IEEE Transactions on Aerospace and Electronic Systems, 1981A state-dependent control law is proposed using the Lyapunov stability theorem and its usefulness for closed-loop control of a synchronous orbit is investigated. It is shown that a sequential scheme using a modified control law provides a more practical means of orbit control.
N.U. Ahmed, A.k. Sen
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A. M. Lyapunov's stability theory—100 years on
IMA Journal of Mathematical Control and Information, 1992Summary: On 12 October 1892 (according to the modern calendar) Alexandr Mikhailovich Lyapunov defended his doctoral thesis `The general problem of the stability of motion' at Moscow University. A brief history of Lyapunov's life and tragic death is given, and followed by a section highlighting the important ideas in his thesis of 1892.
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Lyapunov Stability Theory for Nonlinear Nabla Fractional Order Systems
IEEE Transactions on Circuits and Systems II: Express Briefs, 2021Lyapunov method is a powerful tool for studying the stability of dynamic systems while existing work mainly focuses on the asymptotic stability and rarely concerns the boundedness. Under this background, this brief aims to discuss the boundedness of nonlinear nabla fractional order systems.
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