Results 71 to 80 of about 36,359 (205)

Nonequilibrium free energy, H theorem and self-sustained oscillations for Boltzmann-BGK descriptions of semiconductor superlattices

, 2010
Semiconductor superlattices (SL) may be described by a Boltzmann-Poisson kinetic equation with a Bhatnagar-Gross-Krook (BGK) collision term which preserves charge, but not momentum or energy.
Ashcroft N W, Bonilla L L, Cercignani C, Ignatov A A, Kadanoff L, Ktitorov S A, L L Bonilla, M Álvaro, Zwanzig R   +8 more
core   +1 more source

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr, Alessandro Pisano, Stefan Koch, Markus Reichhartinger   +3 more
wiley   +1 more source

Lyapunov exponents for products of complex Gaussian random matrices

, 2012
The exact value of the Lyapunov exponents for the random matrix product $P_N = A_N A_{N-1}...A_1$ with each $A_i = \Sigma^{1/2} G_i^{\rm c}$, where $\Sigma$ is a fixed $d \times d$ positive definite matrix and $G_i^{\rm c}$ a $d \times d$ complex ...
A. Comtet, A. Crisanti, A.M. Tulino, C.M. Newman, C.M. Newman, D. Mannion, G.H. Tucci, G.W. Anderson, J. Marklof, J. Vanneste, J.E. Cohen, J.F.C. Kingman, K.A. Penson, L. Pastur, M. Pollicott, M.S. Raghunathan, P. Bougerol, P.J. Forrester, Peter J. Forrester, S.H. Simon, S.H. Simon, T.G. Wright, V. Kargin, V.I. Oseledec, Z. Burda, Z. Burda, Z.-Q. Bai, Z.-Q. Bai   +27 more
core   +1 more source

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

Generalized Alternating Direction Implicit Method for Projected Generalized Lyapunov Equations [PDF]

PAMM, 2004
AbstractWe generalize an alternating direction implicit method for projected generalized Lyapunov equations. Low rank versions of this method is also presented that can be used to compute a low rank approximation of the solution of Lyapunov equations with symmetric, positive semidefinite right‐hand side. Numerical example is given.
openaire   +1 more source

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source

Exact Lyapunov exponents of the generalized Boole transformations

, 2016
The generalized Boole transformations have rich behavior ranging from the \textit{mixing} phase with the Cauchy invariant measure to the \textit{dissipative} phase through the \textit{infinite ergodic} phase with the Lebesgue measure.
Okubo, Ken-ichi, Umeno, Ken
core   +1 more source

Periodic Scenario Trees: A Novel Framework for Robust Periodic Invariance and Stabilization of Constrained Uncertain Linear Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam, Sankaranarayanan Subramanian, Sebastian Engell   +2 more
wiley   +1 more source

Structural Spectral Methods of Solving Continuous Generalized Lyapunov Equation

Avtomatika i telemehanika
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yadykin, I. B., Galyaev, I. A.
openaire   +2 more sources

Separation of trajectories and its Relation to Entropy for Intermittent Systems with a Zero Lyapunov exponent

, 2010
One dimensional intermittent maps with stretched exponential separation of nearby trajectories are considered. When time goes infinity the standard Lyapunov exponent is zero.
Eli Barkai, G. M. Zaslavsky, J. Aaronson, J. R. Dorfman, M. Denker, M. Thaler, Nickolay Korabel, R. Badii, R. Klages, V. A. Rohlin, W. Feller   +10 more
core   +1 more source