Results 121 to 130 of about 7,504,828 (242)

Nonlinear Sampled-Data Control Systems: Stability Theorem via Commutativity of Linearization and Discretization

IEEE Access
In this study, we propose a local stability theory for sampled-data systems employing Lyapunov’s indirect method. Our proposed method focuses on the relationship between exact discretization and linear approximation, demonstrating the feasibility ...
Tatsuya Oshima, Shin Kawai, Triet Nguyen-van   +2 more
doaj   +1 more source

Optimisation or Learning? Appropriate Choice of Models and Methods for Sequential Decision‐Making in Power System Operation

Energy Internet, EarlyView.
ABSTRACT Power system operation is inherently a sequential decision‐making problem, traditionally addressed through optimisation models built upon high‐quality load forecasts. However, the rapid proliferation of renewable generation and price‐responsive demands, such as electric vehicles and merchant energy storage, has introduced multiple sources of ...
Wei Wei, Runze Liang
wiley   +1 more source

Lyapunov stability theory with some applications

, 2020
In this thesis, a detailed overview of Lyapunov stability theorems of linear and nonlinear systems is presented. The Lyapunov first and second methods are investigated and the stability analysis of fractional differential systems is highlighted. A new Lemma for the Caputo fractional derivative is reviewed and a class of fractional-order gene regulatory
openaire   +1 more source

Relative Arbitrage Opportunities With Interactions Among N Investors

Mathematical Finance, EarlyView.
ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley   +1 more source

Application of Cooperative Control of Discrete‐Time Nonlinear Multi‐Agent Systems Based on Extended Kalman Unknown Input Observer

Vector: The Journal of Engineering, Volume 2027, Issue 1, January/December 2027.
This study is concerned with the application of consensus control to a class of discrete‐time nonlinear multi‐agent systems with unknown inputs and additive noise. The aim is to design an extended Kalman unknown input observer (EKUIO) such that the state vector of a discrete‐time nonlinear system can be estimated, additive noise can be mitigated, and ...
Yan Ren, Kai Weng, Liyun Zhao, Junru Shan   +3 more
wiley   +1 more source

On the Design of Terminal Ingredients in Periodic Model Predictive Path‐Following

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Establishing recursive feasibility and convergence for nonlinear model predictive path‐following control (MPPFC) is a non‐trivial task, particularly when following periodic reference paths. We propose a procedure for the design of terminal ingredients in MPPFC for constrained nonlinear systems.
Mohamed Abou‐Taleb, Julian Berberich, Melanie Zeilinger, Andrea Carron   +3 more
wiley   +1 more source

Exact Principal Koopman Eigenfunctions of a Pendulum

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The Koopman operator framework offers a rigorous approach to representing nonlinear dynamical systems through linear (or bilinear) differential equations. For deterministic, dissipative systems, it guarantees the existence of global coordinate transformations that linearize autonomous systems and bilinearize input‐affine systems. Despite these
Ulrich Römer
wiley   +1 more source

Complex Dynamics in a Bertrand Duopoly Game with Heterogeneous Players [PDF]

A heterogeneous Bertrand duopoly game with bounded rational and adaptive players manufacturing differentiated products is subject of investigation. The main goal is to demonstrate that participation of one bounded rational player in the game suffices to ...
Tomasz Dubiel-Teleszyński
core  

Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems

International Journal of Robust and Nonlinear Control, Volume 36, Issue 16, Page 7450-7463, 10 November 2026.
ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes, João Manoel Gomes da Silva Jr., Sophie Tarbouriech   +2 more
wiley   +1 more source

On Lyapunov inequality in stability theory for Hill's equation on time scales

Journal of Inequalities and Applications, 2000
In this paper we obtain sufficient conditions for instability and stability to hold for second order linear -differential equations on time scales with periodic coefficients.
Kaymakçalan B, Atici F Merdivenci, Guseinov G Sh   +2 more
doaj