Results 181 to 190 of about 72,691 (241)

Lyapunov Theory for Zeno Stability

IEEE Transactions on Automatic Control, 2013
Zeno behavior is a dynamic phenomenon unique to hybrid systems in which an infinite number of discrete transitions occurs in a finite amount of time. This behavior commonly arises in mechanical systems undergoing impacts and optimal control problems, but its characterization for general hybrid systems is not completely understood.
Andrew Lamperski, Aaron D. Ames
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Lyapunov's direct method in stability theory (review)

International Applied Mechanics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lakshmikantham, V., Martynyuk, A. A.
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The Lyapunov stability theory in system identification

Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997
A new identification framework is developed for some long-standing problems. The convergence conditions of the process parameters: identification are explored from the Lyapunov stability theory, and this paper applies the second method toward a unified treatment of the convergence of the identification process.
S. Lyashevskiy, null Yaobin Chen
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Cone-valued Lyapunov functions and stability theory

Nonlinear Analysis: Theory, Methods & Applications, 1994
The authors consider a differential system of the form \(x'= f(t,x)\), \(x\in\mathbb{R}^ n\). They deal with stability in terms of two measures, a notion of stability which allows a unified treatment of a number of different definitions existing in the literature.
Lakshmikantham, V.   +1 more
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Lyapunov Stability Theory

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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Stability Theory via Vector Lyapunov Functions

2011
This 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), 2016
This 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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