Results 61 to 70 of about 35,286 (235)

A generalization of lyapunov's equation to nonlinear systems

IFAC Proceedings Volumes, 2004
Abstract In this paper a generalization of Lyapunov's equation for the stability of linear dynamical systems to globally asymptotically stable nonlinear systems is presented by embedding the system in a linear infinite-dimensional one on a tensor space by using Carleman linearization. This linear representation allows the definition and solution of a
C. Navarro Hernandez, S.P. Banks
openaire   +1 more source

Risk‐aware safe reinforcement learning for control of stochastic linear systems

Asian Journal of Control, EarlyView.
Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili, Nariman Niknejad, Hamidreza Modares   +2 more
wiley   +1 more source

Synchronizing noisy nonidentical oscillators by transient uncoupling

, 2016
Synchronization is the process of achieving identical dynamics among coupled identical units. If the units are different from each other, their dynamics cannot become identical; yet, after transients, there may emerge a functional relationship between ...
Chakraborty, Sagar, Mannattil, Manu, Schröder, Malte, Tandon, Aditya, Timme, Marc   +4 more
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

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

Lyapunov Exponent Pairing for a Thermostatted Hard-Sphere Gas under Shear in the Thermodynamic Limit

, 2002
We demonstrate why for a sheared gas of hard spheres, described by the SLLOD equations with an iso-kinetic Gaussian thermostat in between collisions, deviations of the conjugate pairing rule for the Lyapunov spectrum are to be expected, employing a ...
A.W. Lees, C.P. Dettmann, Ch. Dellago, D. Ruelle, D.J. Evans, D.J. Evans, D.J. Evans, D.J. Isbister, D.J. Searles, Debabrata Panja, G.P. Morriss, G.P. Morriss, G.P. Morriss, J. Petravic, M.P. Wojtkowski, P. Gaspard, R. van Zon, Ramses van Zon, S. Sarman   +18 more
core   +2 more sources

Generalized Lyapunov equations, matrices with displacement structure, and generalized Bezoutians

Linear Algebra and its Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On subset least squares estimation and prediction in vector autoregressive models with exogenous variables

Canadian Journal of Statistics, EarlyView.
Abstract We establish the consistency and the asymptotic distribution of the least squares estimators of the coefficients of a subset vector autoregressive process with exogenous variables (VARX). Using a martingale central limit theorem, we derive the asymptotic normal distribution of the estimators. Diagnostic checking is discussed using kernel‐based
Pierre Duchesne, Thanh‐Liem Huynh, Mylène Oscar   +2 more
wiley   +1 more source

Stability Analysis of Second-Order Linear PDEs on Time Scales

Discrete Dynamics in Nature and Society, 2023
This paper presents the stability analysis of a class of second-order linear partial differential equations (PDEs) on time scales with diffusion operator and first-order partial derivative.
Ruihong Liu, Chuan Zhang, Xianfu Zhang, Fanwei Meng, Hao Zhang   +4 more
doaj   +1 more source

A computationally effective time-restricted stability preserving H2-optimal model order reduction approach

Results in Control and Optimization, 2023
Several approaches for reducing model order on the definite time segments have become the topic of investigation in a series of papers that bring challenges during application in a large-scale setting.
Xin Du, Kife I. Bin Iqbal, M. Monir Uddin, Md. Tanzim Hossain, Md. Nazmul Islam Shuzan   +4 more
doaj   +1 more source