Results 71 to 80 of about 78,251 (234)

Stochastic Stability Analysis of Discrete Time System Using Lyapunov Measure

, 2016
In this paper, we study the stability problem of a stochastic, nonlinear, discrete-time system. We introduce a linear transfer operator-based Lyapunov measure as a new tool for stability verification of stochastic systems.
Vaidya, Umesh
core   +1 more source

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source

Chaotic Properties of Dilute Two and Three Dimensional Random Lorentz Gases I: Equilibrium Systems

, 1997
We compute the Lyapunov spectrum and the Kolmogorov-Sinai entropy for a moving particle placed in a dilute, random array of hard disk or hard sphere scatterers - i.e. the dilute Lorentz gas model.
A. Crisanti, A. Latz, A. Latz, A. Weijland, A. Weijland, Arnulf Latz, C. Appert, C. Appert, C. Beck, C. Bruin, C. P. Dettmann, Ch. Dellago, Ch. Dellago, Ch. Dellago, D. J. Evans, D. J. Evans, D. Mannion, D. Ruelle, E. Courant, E. G. D. Cohen, E. G. D. Cohen, E. H. Hauge, G. Gallavotti, G. Vattay, H. Flanders, H. van Beijeren, H. van Beijeren, H. van Beijeren, H. van Beijeren, J. R. Dorfman, J. R. Dorfman, J. R. Dorfman, J. R. Dorfman, J.-P. Eckmann, L. A. Bunimovich, M. H. Ernst, N. I. Chernov, N. I. Chernov, N. S. Krylov, P. Dahlqvist, P. Dahlqvist, P. Gaspard, P. Gaspard, P. Gaspard, S. Chapman, V. I. Arnold, W. G. Hoover, Ya. G. Sinai   +47 more
core   +1 more source

Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective [PDF]

Nonlinear Processes in Geophysics, 2019
The stability properties as characterized by the fluctuations of finite-time Lyapunov exponents around their mean values are investigated in a three-level quasi-geostrophic atmospheric model with realistic mean state and variability.
F. Kwasniok
doaj   +1 more source

ON Ψ-INSTABILITY OF NON-LINEAR MATRIX LYAPUNOV SYSTEMS

Demonstratio Mathematica, 2009
AbstractWe prove necessary and sufficient conditions for Ψ-instability of trivial solutions of linear matrix Lyapunov systems and also sufficient conditions for Ψ-instability of trivial solutions of non-linear matrix Lyapunov systems.
Murty, M. S. N., Kumar, G. S., Lakshmi, P. N., Anjaneyulu, D.   +3 more
openaire   +2 more sources

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

Asian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source

Computational Stability Analysis of Lotka-Volterra Systems

Hungarian Journal of Industry and Chemistry, 2016
This paper concerns the computational stability analysis of locally stable Lotka-Volterra (LV) systems by searching for appropriate Lyapunov functions in a general quadratic form composed of higher order monomial terms.
Polcz Péter, Szederkényi
doaj   +1 more source

HURWITZ MATRIX, LYAPUNOV AND DIRICHLET ON THE SUSTAINABILITY OF LYAPUNOV’S

Tambov University Reports. Series: Natural and Technical Sciences, 2018
The concepts of Hurwitz, Lyapunov and Dirichlet matrices are introduced for the convenience of the stability of linear systems with constant coefficients. They allow us to describe all the cases of interest in the stability theory of linear systems with constant coefficients.
openaire   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

A hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao, Debaprasad Dutta, Simant R. Upreti   +2 more
wiley   +1 more source