The Experts below are selected from a list of 50136 Experts worldwide ranked by ideXlab platform
Corinne Mailhes - One of the best experts on this subject based on the ideXlab platform.
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EUSIPCO - Spectral estimation using Dynamical System Theory
2002Co-Authors: Eric Klumpp, Corinne MailhesAbstract:This paper addresses the problem of spectral estimation by using Dynamical System Theory. A new parametric model motivated by the Takens theorem is defined. This model referred to as Dynamical AR model is showed to outperform the usual AR model to estimate the frequencies of sinusoidal signals.
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spectral estimation using Dynamical System Theory
European Signal Processing Conference, 2002Co-Authors: Eric Klumpp, Corinne MailhesAbstract:This paper addresses the problem of spectral estimation by using Dynamical System Theory. A new parametric model motivated by the Takens theorem is defined. This model referred to as Dynamical AR model is showed to outperform the usual AR model to estimate the frequencies of sinusoidal signals.
Wassim M Haddad - One of the best experts on this subject based on the ideXlab platform.
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a unification between Dynamical System Theory and thermodynamics involving an energy mass and entropy state space formalism
Entropy, 2013Co-Authors: Wassim M HaddadAbstract:In this paper, we combine the two universalisms of thermodynamics and Dynamical Systems Theory to develop a Dynamical System formalism for classical thermodynamics. Specifically, using a compartmental Dynamical System energy flow model involving heat flow, work energy, and chemical reactions, we develop a state-space Dynamical System model that captures the key aspects of thermodynamics, including its fundamental laws. In addition, we show that our thermoDynamically consistent Dynamical System model is globally semistable with System states converging to a state of temperature equipartition. Furthermore, in the presence of chemical reactions, we use the law of mass-action and the notion of chemical potential to show that the dynamic System states converge to a state of temperature equipartition and zero affinity corresponding to a state of chemical equilibrium.
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Control Vector Lyapunov Functions for Large-Scale Impulsive Systems
Stability and Control of Large-Scale Dynamical Systems, 2011Co-Authors: Wassim M Haddad, Sergey G. NersesovAbstract:This chapter extends the notion of control vector Lyapunov functions to impulsive Dynamical Systems. Vector Lyapunov Theory has been developed to weaken the hypothesis of standard Lyapunov Theory to enlarge the class of Lyapunov functions that can be used for analyzing System stability. In particular, the use of vector Lyapunov functions in Dynamical System Theory offers a very flexible framework since each component of the vector Lyapunov function can satisfy less rigid requirements as compared to a single scalar Lyapunov function. Using control vector Lyapunov functions, the chapter develops a universal hybrid decentralized feedback stabilizer for a decentralized affine in the control nonlinear impulsive Dynamical System that possesses guaranteed gain and sector margins in each decentralized input channel. These results are used to develop hybrid decentralized controllers for large-scale impulsive Dynamical Systems with robustness guarantees against full modeling and input uncertainty.
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thermodynamic modeling energy equipartition and nonconservation of entropy for discrete time Dynamical Systems
Advances in Difference Equations, 2005Co-Authors: Wassim M Haddad, Sergey G. Nersesov, Qing Hui, Vijaysekhar ChellaboinaAbstract:We develop thermodynamic models for discrete-time large-scale Dynamical Systems. Specifically, using compartmental Dynamical System Theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and entropy nonconservation principles for discrete-time, large-scale Dynamical Systems. Furthermore, we introduce a new and dual notion to entropy; namely, ectropy, as a measure of the tendency of a Dynamical System to do useful work and grow more organized, and show that conservation of energy in an isolated thermodynamic System necessarily leads to nonconservation of ectropy and entropy. In addition, using the System ectropy as a Lyapunov function candidate, we show that our discrete-time, large-scale thermodynamic energy flow model has convergent trajectories to Lyapunov stable equilibria determined by the System initial subSystem energies.
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thermodynamic modeling energy equipartition and nonconservation of entropy for discrete time Dynamical Systems
American Control Conference, 2005Co-Authors: Wassim M Haddad, Sergey G. Nersesov, Qing Hui, Vijaysekhar ChellaboinaAbstract:In this paper we develop thermodynamic models for discrete-time large-scale Dynamical Systems. Specifically, using compartmental Dynamical System Theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and entropy nonconservation principles for discrete-time, large-scale Dynamical Systems. Furthermore, we introduce a new and dual notion to entropy, namely, ectropy, as a measure of the tendency of a Dynamical System to do useful work and grow more organized, and show that conservation of energy in an isolated thermodynamic System necessarily leads to nonconservation of ectropy and entropy. In addition, using the System ectropy as a Lyapunov function candidate we show that our discrete-time, large-scale thermodynamic energy flow model has convergent trajectories to Lyapunov stable equilibria determined by the System initial subSystem energies.
Eric Klumpp - One of the best experts on this subject based on the ideXlab platform.
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EUSIPCO - Spectral estimation using Dynamical System Theory
2002Co-Authors: Eric Klumpp, Corinne MailhesAbstract:This paper addresses the problem of spectral estimation by using Dynamical System Theory. A new parametric model motivated by the Takens theorem is defined. This model referred to as Dynamical AR model is showed to outperform the usual AR model to estimate the frequencies of sinusoidal signals.
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spectral estimation using Dynamical System Theory
European Signal Processing Conference, 2002Co-Authors: Eric Klumpp, Corinne MailhesAbstract:This paper addresses the problem of spectral estimation by using Dynamical System Theory. A new parametric model motivated by the Takens theorem is defined. This model referred to as Dynamical AR model is showed to outperform the usual AR model to estimate the frequencies of sinusoidal signals.
Paul Manneville - One of the best experts on this subject based on the ideXlab platform.
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On the speed of solitary waves running down a vertical wall
Journal of Fluid Mechanics, 2005Co-Authors: C. Ruyer-quil, Paul MannevilleAbstract:Solitary-wave solutions to surface equations or two-equation models of film flows are investigated within the framework of Dynamical System Theory. The limiting behaviour of one-humped solitary waves (homoclinic orbits) at large Reynolds numbers is considered. Their predicted speed is in good agreement with numerical findings. The Theory also explains the absence of solitary-wave solutions to the Benney equation in the same limit. © 2005 Cambridge University Press.
G Bertotti - One of the best experts on this subject based on the ideXlab platform.
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nonlinear Dynamical System approach to microwave assisted magnetization dynamics invited
Journal of Applied Physics, 2009Co-Authors: G Bertotti, I D Mayergoyz, C Serpico, M Daquino, R BoninAbstract:Methods of nonlinear-Dynamical-System Theory are applied to the study of magnetization dynamics under the action of microwave magnetic fields. In the case of a System with uniaxial anisotropy subject to a circularly-polarized microwave field, the conditions are derived under which the magnetization reversal field is substantially reduced by the application of the microwave field. The dependence of magnetization switching on microwave-field-pulse duration is discussed and analytical expressions are derived for the minimum pulse duration leading to switching.
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Dynamical System Theory approach to the study of metastable states in the random field ising model
Journal of Magnetism and Magnetic Materials, 2007Co-Authors: Paolo Bortolotti, A Magni, Vittorio Basso, G BertottiAbstract:In this paper, we obtain information about the topological structure of the energy landscape of the random-field Ising model by numerical simulations. We define and construct a suitable map (one-loop map) for the representation of generic metastable state. We show that the properties of this map are strictly related to the possibility of generating the state by a field history.