Results 231 to 240 of about 22,081,541 (270)

Lyapunov Exponents and Methods of Their Analysis

2020
The book is devoted to study the nonlinear phenomena exhibited by the size-dependent structural members including bifurcations and chaotic processes, and hence this chapter provides an overview of one of the main tools for identifying the nonlinear dynamics of these objects.
Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko   +3 more
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The Functional Analysis Interpretation of Lyapunov Stability

IFAC Proceedings Volumes, 1977
Abstract A dynamic system is defined as an operator. It's continuity corresponds to the stability of a solution. The Lyapunov method is interpreted as the factorization of this operator into two components. The continuity of the first one is achieved by means of a comparison principle and the second as a result of the norm positive-definiteness.
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Sensitivity analysis of the discrete generalized Lyapunov equation

Proceedings of 1994 33rd IEEE Conference on Decision and Control, 2002
Studies the sensitivity of Lyapunov equations which are encountered in generalized state-space systems of the form E/spl chi/(/spl kappa/+1)=A/spl chi/(/spl kappa/), where E is nonsingular, and the system stable. The authors treat this problem and show that the results of the generalized continuous-time case extend to the discrete-time case ...
Aripirala, Ravi, Syrmos, Vassilis L., Misra, Pradeep   +2 more
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Improving semiquantitative simulation by using Lyapunov analysis

1999 European Control Conference (ECC), 1999
Semiquantitative simulation is a powerful method to analyze uncertain dynamic systems using reasoning techniques. However, simulating systems which exhibit oscillatory behavior, impose big difficulties on the current semiquantitative simulation methods.
Michael W. Hofbaur, Nicolaos Dourdoumas
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Lyapunov Analysis of Sample-and-Hold Hybrid Feedbacks

Proceedings of the 45th IEEE Conference on Decision and Control, 2006
For hybrid closed-loop systems arising from hybrid control of nonlinear systems, we show that the sample-and-hold implementation of the hybrid controller preserves (semiglobally and practically) the stability properties of the closed-loop system. We provide a general model for the hybrid closed-loop system where the hybrid controller is implemented ...
Ricardo G. Sanfelice, Andrew R. Teel
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Robust stability analysis using Lyapunov density

International Journal of Control, 2012
We state and prove a robustness result for the concept of almost everywhere uniform stability of an invariant attractor for a nonlinear autonomous differential equation. We also show that the concept of almost everywhere uniform stability rectifies the drawback of vanishing density on stable manifolds of hyperbolic equilibrium points that exists for a ...
Rajeev Rajaram, Umesh Vaidya
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Lyapunov exponents as a nonparametric diagnostic for stability analysis

Journal of Applied Econometrics, 1992
SUMMARY The common observation made in the empirical nonlinear dynamics literature is the constraints imposed by the availability of a limited number of observations in the implementation of the existing algorithms of Lyapunov exponents. The algorithm discussed here can estimate all n Lyapunov exponents of an unknown n-dimensional dynamical system ...
Dechert, W D, Gencay, R
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Lyapunov Analysis of Spatiotemporal Intermittency

Europhysics Letters (EPL), 1993
Lyapunov exponents and vectors are investigated for a chain of locally coupled maps known to exhibit a continuous transition to spatio-temporal intermittency regimes. The accompanying critical behaviour (e.g., the divergence of the coherence scales) is not reflected in the behaviour of the largest Lyapunov exponent, which remains constant, but rather ...
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A geometrical analysis of the Lyapunov operator†

International Journal of Control, 1971
Abstract In this paper, the Lyapunov operator corresponding to a stable system is described in terms of its mapping of the set of positive definite matrices. This set and its image are shown to have geometrical descriptions which simplify the analysis.
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Lyapunov stability analysis for nonlinear delay systems

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2001
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Mazenc, Frédéric, Niculescu, Silviu-Iulian   +1 more
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