Results 71 to 80 of about 2,730 (204)

Exponential synchronization of dynamical complex networks via random impulsive scheme

Nonlinear Analysis
This paper investigates the synchronization of a complex network based on a class of random impulsive differential equation systems. Based on the random impulsive strategy of Poisson distribution, a random impulsive dynamical network model is ...
Bowen Zhou, Xiao-Bao Shu, Fei Xu, Fengyu Yang, Ya Wang   +4 more
doaj   +1 more source

Robust H∞ Control for a Class of Nonlinear Distributed Parameter Systems via Proportional-Spatial Derivative Control Approach

Abstract and Applied Analysis, 2014
This paper addresses the problem of robust H∞ control design via the proportional-spatial derivative (P-sD) control approach for a class of nonlinear distributed parameter systems modeled by semilinear parabolic partial differential equations (PDEs).
Cheng-Dong Yang, Jianlong Qiu, Jun-Wei Wang   +2 more
doaj   +1 more source

Discrete Implementations Modify the Intuition of Final Set Adjustment in Barrier Function Based Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle, Andrés González, Leonid Fridman, Meléndez Alfredo   +3 more
wiley   +1 more source

Solving the differential biochemical Jacobian from metabolomics covariance data.

PLoS ONE, 2014
High-throughput molecular analysis has become an integral part in organismal systems biology. In contrast, due to a missing systematic linkage of the data with functional and predictive theoretical models of the underlying metabolic network the ...
Thomas Nägele, Andrea Mair, Xiaoliang Sun, Lena Fragner, Markus Teige, Wolfram Weckwerth   +5 more
doaj   +1 more source

Output‐Feedback H∞$$ {H}_{\infty } $$ Detector‐Based Control of Continuous‐Time Markov Jump Lur'e Systems With Sector‐Bound Optimization

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the problem of dynamic output‐feedback H∞$$ {H}_{\infty } $$ detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to ...
Lucas P. M. Silva, Cecilia F. Morais, Ricardo C. L. F. Oliveira   +2 more
wiley   +1 more source

Control Systems Design With Enlarged Stability Domains for Nonlinear Constrained Systems via Sum‐of‐Squares Optimization

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas, Dmitry Ignatyev, Argyrios Zolotas, Antonios Tsourdos   +3 more
wiley   +1 more source

Asymptotic Behaviour of a Two-Dimensional Differential System with a Finite Number of Nonconstant Delays under the Conditions of Instability

Abstract and Applied Analysis, 2012
The asymptotic behaviour of a real two-dimensional differential system ∑𝑥′(𝑡)=𝖠(𝑡)𝑥(𝑡)+𝑚𝑘=1𝖡𝑘(𝑡)𝑥(𝜃𝑘(𝑡))+ℎ(𝑡,𝑥(𝑡),𝑥(𝜃1(𝑡)),…,𝑥(𝜃𝑚(𝑡))) with unbounded nonconstant delays 𝑡−𝜃𝑘(𝑡)≥0 satisfying lim𝑡→∞𝜃𝑘(𝑡)=∞ is studied under the assumption of instability.
Zdeněk Šmarda, Josef Rebenda
doaj   +1 more source

The resolution of the differential Lyapunov matrix equations using BDF method

, 2019
The resolution of the differential Lyapunov matrix equations \(\begin{equation}\label{1} \left\{ \begin{array}{ll} \dot{X}(t)=AX(t)+X(t)A^T+B,& \hbox{} \\ X(t_{0})=X_{0}, & t\in[t_{0},T_{f}], \end{array} \right. \end{equation}\) où \(A\in\mathbb{R}^{n\times n}, B\in\mathbb{R}^{n\times n},\) using backward differentiation formula method Author :
openaire   +2 more sources

High‐Order Sliding‐Mode control for MIMO Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley   +1 more source

The Maximal Almost Sure Lyapunov Exponent of Three-Dimensional Linear Stratonovich Stochastic Differential Equations

Mathematics
The sign of the maximal almost sure Lyapunov exponent determines the stability of stochastic systems, while its numerical computation for three-dimensional linear Stratonovich stochastic differential equations remains challenging due to the failure of ...
Jianyue Su, Ziying He
doaj   +1 more source