Results 81 to 90 of about 1,640,648 (241)

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

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

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

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

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

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

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

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

String‐Stable Platooning Control of Connected Automated Vehicles Under Non‐Uniform Stochastic Communication Delays

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper is concerned with the platooning control problem of connected automated vehicles (CAVs) under non‐uniform stochastic vehicle‐to‐vehicle (V2V) communication delays. Most existing relevant studies assume uniform or deterministic or slowly varying delays, or design platoon controllers based on worst‐case delay bounds, resulting in ...
Dengfeng Pan, Xiaohua Ge, Derui Ding, Xian‐Ming Zhang   +3 more
wiley   +1 more source

Classification of Processes by the Lyapunov exponent [PDF]

This paper deals with the problem of the discrimination between wellpredictable and not-well-predictable time series. One criterion for the separation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems ...
Busse, Anja M.
core