Results 11 to 20 of about 14,104 (237)
Krylov Subspace Methods for Solving Large Lyapunov Equations [PDF]
SIAM Journal on Numerical Analysis, 1994 Published ...
Imad M Jaimoukha
exaly +2 more sources
A Survey of Quantum Lyapunov Control Methods [PDF]
The Scientific World Journal, 2013 The condition of a quantum Lyapunov‐based control which can be well used in a closed quantum system is that the method can make the system convergent but not just stable. In the convergence study of the quantum Lyapunov control, two situations are classified: nondegenerate cases and degenerate cases.
Shuang Cong, Fangfang Meng
openaire +5 more sources
Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions [PDF]
, 2010 summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M. +3 more
core +1 more source
Control Lyapunov Functions and Zubov's Method [PDF]
SIAM Journal on Control and Optimization, 2008 For finite dimensional nonlinear control systems we study the relation between asymptotic null-controllability and control Lyapunov functions. It is shown that control Lyapunov functions may be constructed on the domain of asymptotic null-controllability as viscosity solutions of a first order PDE that generalizes Zubov's equation. The solution is also
Fabio Camilli, Lars Grüne, Fabian Wirth
openaire +3 more sources
The Lyapunov spectrum as the Newton method [PDF]
Physica A: Statistical Mechanics and its Applications, 2012 For a class of dynamical systems, the cookie-cutter maps, we prove that the Lyapunov spectrum coincides with the map given by the Newton-Raphson method applied to the derivative of the pressure function.
openaire +5 more sources
Generalized Lyapunov exponents and aspects of the theory of deep learning
, 2023 We discuss certain recent metric space methods and some of the possibilities these methods provide, with special focus on various generalizations of Lyapunov exponents originally appearing in the theory of dynamical systems and differential equations ...
Karlsson, Anders, Karlsson, Anders,
core +1 more source
Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise [PDF]
, 2002 The ergodic properties of SDEs, and various time discretizations for SDEs, are studied. The ergodicity of SDEs is established by using techniques from the theory of Markov chains on general state spaces, such as that expounded by Meyn-Tweedie ...
Stuart, A.M. +6 more
core +1 more source
An iterative method to solve Lyapunov equations
CoRR, 2023 We present here a new splitting method to solve Lyapunov equations of the type $AP + PA^T=-BB^T$ in a Kronecker product form. Although that resulting matrix is of order $n^2$, each iteration of the method demands only two operations with the matrix $A$: a multiplication of the form $(A-σI) \hat{B}$ and a inversion of the form $(A-σI)^{-1}\hat{B}$.
Licio Hernanes Bezerra +1 more
openaire +2 more sources
Note on the Lyapunov functional method
Applied Mathematics Letters, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
, 1997 The discrete-time positive periodic Lyapunov equations have important applications in the balancing and potentially also in the model reduction of discrete-time periodic systems.
A. Varga, Varga, A., Andreas Varga
core +1 more source