Lyapunov-type inequalities for fractional differential equations: a survey [PDF]
Surveys in Mathematics and its Applications, 2021 A survey of results on Lyapunov-type inequalities for fractional differential equations associated with a variety of boundary conditions is presented.
Sotiris K. Ntouyas, Bashir Ahmad
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Equivalence of kinetic-theory and random-matrix approaches to Lyapunov spectra of hard-sphere systems [PDF]
, 2010 In the study of chaotic behaviour of systems of many hard spheres, Lyapunov exponents of small absolute value exhibit interesting characteristics leading to speculations about connections to non-equilibrium statistical mechanics. Analytical approaches to
Astrid S. de Wijn +30 more
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Robust constrained model predictive control based on parameter-dependent Lyapunov functions [PDF]
, 2008 The problem of robust constrained model predictive control (MPC) of systems with polytopic uncertainties is considered in this paper. New sufficient conditions for the existence of parameter-dependent Lyapunov functions are proposed in terms of linear ...
B. Pluymers +21 more
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Advances in Difference Equations, 2019 In this work, the exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into consideration.
M. Iswarya +5 more
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Fast convergence in evolutionary models: A Lyapunov approach [PDF]
Journal of Economic Theory, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fudenberg, Drew +2 more
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Global Versus Local Lyapunov Approach Used in Disturbance Observer-Based Wind Turbine Control
Frontiers in Control Engineering, 2023 This contribution presents a Lyapunov-based controller and observer design method to achieve an effective design process for more dedicated closed-loop dynamics, i.e., a maximal flexibility in an observer-based controller design with a large consistency ...
Eckhard Gauterin +2 more
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Kuhn-Tucker-based stability conditions for systems with saturation [PDF]
, 2001 This paper presents a new approach to deriving stability conditions for continuous-time linear systems interconnected with a saturation. The method presented can be extended to handle a dead-zone, or in general, nonlinearities in the form of piecewise ...
Gianelli, Monica, Primbs, James A.
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Further Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems [PDF]
, 2006 We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics ...
de Queiroz, Marcio S. +2 more
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Numerical Approximation of LYAPUNOV-Exponents for Quasiperiodic Motions
MATEC Web of Conferences, 2018 This paper proposes an approach to approximate the LYAPUNOV -spectrum of quasiperiodic flows on isolated invariant manifolds numerically. Once the invariant manifold has been determined, integrations over the infinite, one dimensional time interval – as ...
Fiedler Robert, Hetzler Hartmut
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Lyapunov Equivalent Representation Form of Forced, Damped, Nonlinear, Two Degree-of-Freedom Systems
Applied Sciences, 2018 The aim of this paper focuses on finding equivalent representation forms of forced, damped, two degree-of-freedom, nonlinear systems in the sense of Lyapunov by using a nonlinear transformation approach that provides decoupled, forced, damped, nonlinear ...
Alex Elías-Zúñiga +3 more
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