Results 131 to 140 of about 4,419,275 (304)

Sliding Mode Control and Observation for Upper Limb Robotics Rehabilitation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Stroke is a leading cause of upper limb motor impairments, which often require rehabilitation. General purpose robotic manipulators enable effective therapy through exercises such as Center Out Point‐to‐Point (CO‐PTP) and Teach‐and‐Track (TT), which respectively demand accurate estimation and rejection of the interaction force exerted by the ...
Antonella Ferrara, Chiara Alessi, Nikolas Sacchi   +2 more
wiley   +1 more source

Input-to-Output Stability for Stochastic Complex Networked Control Systems

Axioms
In this article, input-to-output stability (IOS) for stochastic complex networked control systems (SCNCS) is investigated. By applying Kirchhoff’s matrix tree theorem in graph theory, an appropriate Lyapunov function is established which is related to ...
Xuexin Li, Shang Gao
doaj   +1 more source

The Lyapunov matrix equation. Matrix analysis from a computational perspective

, 2015
Decay properties of the solution X to the Lyapunov matrix equation AX+XAT=D are investigated. Their exploitation in the understanding of equation matrix properties, and in the development of new numerical solution strategies when D is not low rank but ...
SIMONCINI, VALERIA
core  

Impulsive Thruster Control for Spacecraft Docking: A Lyapunov Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this work, we propose a novel discontinuous impulsive controller for nonlinear systems that admit continuous‐time stabilizing controllers. Specifically, we develop a technique for generating discrete control pulses of short duration based on the Lyapunov candidate function associated with a continuous‐time controller. Our method uses a real‐
Xun Liu, Hashem Ashrafiuon, Sergey G. Nersesov   +2 more
wiley   +1 more source

New approaches on adaptive stabilization for uncertain systems subject to multiple time delays

AIP Advances
This paper explores the stabilization issue of uncertain systems subject to multiple time delays under adaptive robust control. Without imposing matching constraints on uncertain system parameter matrices, an adaptive robust controller is utilized to ...
Sirui Zhu
doaj   +1 more source

Deadbeat Robust Model Predictive Control for Linear Parameter‐Varying Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The concept of Deadbeat Robust Model Predictive Control (DRMPC) has recently been established for linear systems, providing full system theoretic guarantees, while reducing the computational and conceptual complexity. This article extends DRMPC to systems with multiplicative uncertainty (“robust linear”) and systems that depend on a (slowly ...
Georg Schildbach, Hossam S. Abbas
wiley   +1 more source

Lyapunov-Sylvesters operators for (2+1)-Boussinesq equation

Electronic Journal of Differential Equations, 2016
This article studies a technique for solving a two-dimensional Boussinesq equation discretized using a finite difference method. It consists of an order reduction method into a coupled system of second-order equations, and to formulate the fully ...
Abdelhamid Bezia, Anouar Ben Mabrouk, Kamel Betina   +2 more
doaj  

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source

Lyapunov Inequalities for Systems of Tempered Fractional Differential Equations with Multi-Point Coupled Boundary Conditions via a Fix Point Approach

Fractal and Fractional
In this paper, we study a system of nonlinear tempered fractional differential equations with multi-point coupled boundary conditions. By applying the properties of Green’s function and the operator and combining the method of matrix analysis, we obtain ...
Hailong Ma, Hongyu Li
doaj   +1 more source

Computation of Lyapunov exponents of matrix products

Expositiones Mathematicae
For $m$ given square matrices $A_0, A_1, \cdots, A_{m-1}$ ($m\ge 2$), one of which is assumed to be of rank $1$, and for a given sequence $(ω_n)$ in $\{0,1, \cdots, m-1\}^\mathbb{N}$, the following limit, if it exists, $$L(ω):=\lim_{n\to \infty} \frac 1n \log \|A_{ω_0} A_{ω_2}\cdots A_{ω_{n-1}}\|$$ defines the Lyapunov exponent of the sequence of ...
Fan, Ai Hua, Verbitskiy, Evgeny
openaire   +3 more sources