Results 1 to 10 of about 111,531 (189)
A Corollary for Nonsmooth Systems
, 2012 In this note, two generalized corollaries to the LaSalle-Yoshizawa Theorem are presented for nonautonomous systems described by nonlinear differential equations with discontinuous right-hand sides.
Dixon, W. E. +2 more
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Energies, 2020 This paper proposes a high-performance control technique based on Lyapunov’s stability theory for a single-phase grid-connected neutral-point-clamped quasi-impedance source inverter with LCL filter.
Sertac Bayhan, Hasan Komurcugil
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Small gain theorems for large scale systems and construction of ISS Lyapunov functions
, 2009 We consider interconnections of n nonlinear subsystems in the input-to-state stability (ISS) framework. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as independent inputs.
Dashkovskiy, Sergey N. +2 more
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Functional inequalities via Lyapunov conditions [PDF]
, 2014 We review here some recent results by the authors, and various coauthors, on (weak,super) Poincar inequalities, transportation-information inequalities or logarithmic Sobolev inequality via a quite simple and efficient technique: Lyapunov conditions.
Cattiaux, Patrick, Guillin, Arnaud
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Discrete mappings with an explicit discrete Lyapunov function related to integrable mappings
, 2006 We propose discrete mappings of second order that have a discrete analogue of Lyapunov function. The mappings are extensions of the integrable Quispel-Roberts-Thompson (QRT) mapping, and a discrete Lyapunov function of the mappings is identical to an ...
Daisuke Takahashi +19 more
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Mathematics, 2020 State observers for systems having Lipschitz nonlinearities are considered for what concerns the stability of the estimation error by means of a decomposition of the dynamics of the error into the cascade of two systems. First, conditions are established
Angelo Alessandri +2 more
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Existence of complete Lyapunov functions for semiflows on separable metric spaces [PDF]
, 2011 The aim of this short note is to show how to construct a complete Lyapunov function of a semiflow by using a complete Lyapunov function of its time-one map.
Patrão, Mauro
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Study of finite amplitude capillary waves stability
MATEC Web of Conferences, 2018 The direct Lyapunov method is used to study capillary waves. The dynamic equations of the capillary wave are presented in the form of an infinite Euler-Lagrange chain of equations for the Stokes coefficients.
Petrov Alexander, Lopushanski Mariana
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Estimation of the Attraction Domain for the Quantum Systems Based on the Schrödinger Equation
AxiomsThis paper investigates a quantum system described by the Schrödinger equation, utilizing the concept of the quantum Lyapunov function. The Lyapunov function is chosen based on the mean value of a virtual mechanical quantity, where different values of P,
Hongli Yang +2 more
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Plurisubharmonic Lyapunov functions
Michigan Mathematical Journal, 2004 Suppose the holomorphic map \(f: \mathbb{C}\mathbb{P}^2\to \mathbb{C}\mathbb{P}^2\) has an invariant nonsingular quadratic curve \(A\) contained in the critical set of. The author proves that the pluricomplex Green function \(G_K\) for the repeller \(K\) dual to \(A\), with logarithmic pole along \(A\), is a PSH Lyapunov function for \(f\) in \(\mathbb{
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