Results 91 to 100 of about 4,419,275 (304)

The delay Lyapunov matrix in robust stability analysis of time-delay systems

, 2015
The maximum of the norm of the delay Lyapunov matrix function of exponentially stable linear time-delay systems is proven to be achieved at zero. We apply this result to the robust stability analysis of systems with multiple delays. We consider the cases
A. Egorov, S. Mondié
semanticscholar   +1 more source

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

Optimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
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

Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation

Quarterly Journal of the Royal Meteorological Society, EarlyView.
A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan, Massimo Bonavita, Marcin Chrust, Elías Hólm   +3 more
wiley   +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

Lyapunov stability analysis of higher-order 2D systems

, 2010
We prove a necessary and sufficient condition for the asymptotic stability of a 2D system described by a system of higher-order linear partial difference equations.
Paolo Rapisarda, Chiaki Kojima, C. Kojima, Kojima, Chiaki, K. Takaba, Kiyotsugu Takaba, P. Rapisarda, Takaba, Kiyotsugu, Rapisarda, Paolo   +8 more
core   +2 more sources

Solution of Fully Fuzzy Neutrosophic Lyapunov Matrix Equation

Neutrosophic Sets and Systems
The classical Lyapunov matrix equation (LME) is important for checking system stability, but it assumes we know exact numbers. It cannot handle unclear, conflicting, or missing information.
Myra Suphelea Asmizal, Wan Suhana Wan Daud, Khairu Azlan Abd Aziz, Siti Rohana Goh Abdullah   +3 more
doaj   +1 more source

Frequency‐Domain Analysis of External Signal Propagation Through Sliding Mode Control Systems With Dynamic Actuators

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
wiley   +1 more source

Expression for a general element of an SO(n) matrix

International Journal of Mathematics and Mathematical Sciences, 2003
We derive the expression for a general element of an SO(n) matrix. All elements are obtained from a single element of the matrix. This has applications in recently developed methods for computing Lyapunov exponents.
T. M. Janaki, Govindan Rangarajan
doaj   +1 more source

Lanczos with compression for symmetric matrix Lyapunov equations

CoRR
This work considers large-scale Lyapunov matrix equations of the form $AX + XA = \boldsymbol{c}\boldsymbol{c}^T$, where $A$ is a symmetric positive definite matrix and $\boldsymbol{c}$ is a vector. Motivated by the need to solve such equations in a wide range of applications, various numerical methods have been developed to compute low-rank ...
Angelo A. Casulli, Francesco Hrobat, Daniel Kressner   +2 more
openaire   +2 more sources