Results 71 to 80 of about 16,203 (266)

Some constructions of Lyapunov function for linear extensions of dynamical systems [PDF]

Opuscula Mathematica, 2011
In this note we consider some sets of linear extensions of dynamical systems and research regularity by means of the sign-changing Lyapunov function. We examine some constructions of Lyapunov functions for given systems.
Viktor Kulik, Ewa Tkocz-Piszczek
doaj   +1 more source

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source

Construction of Polynomial Lyapunov Functions Using Genetic Programming and Sparse Optimization

Journal of Optimization, Differential Equations and Their Applications
We propose a hybrid evolutionary-sparse optimization framework for the automated synthesis of polynomial Lyapunov functions certifying exponential stability of nonlinear autonomous systems on a prescribed compact domain.
Valentyn V. Sobchuk, Roman O. Pykhnivskyi   +1 more
doaj   +1 more source

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

Asian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source

Composite control Lyapunov functions for robust stabilization of constrained uncertain dynamical systems

, 2013
This work presents innovative scientific results on the robust stabilization of constrained uncertain dynamical systems via Lyapunov-based state feedback control.
GRAMMATICO, SERGIO
core  

Dynamic Lyapunov functions: Properties and applications

, 2012
Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium points of linear and nonlinear systems. The existence of Lyapunov functions for asymptotically stable equilibrium points is guaranteed by converse Lyapunov ...
Astolfi, A, Sassano, M., M. Sassano, Astolfi, A., Sassano, M, A. Astolfi   +5 more
core   +1 more source

A hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao, Debaprasad Dutta, Simant R. Upreti   +2 more
wiley   +1 more source

Investigating Tuberculosis Dynamics Under Various Control Strategies: A Comprehensive Analysis Using Real Statistical Data

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat, Mahmoud H. DarAssi, Irfan Ahmad, Muhammad Altaf Khan, Reem Algethamie   +4 more
wiley   +1 more source

Stochastic stability and instability of rumor model

Open Mathematics
In this study, we present a stochastic rumor model. The stability of the disease-free equilibrium state and instability of the free equilibrium E0{E}_{0} of stochastic epidemics model are considered with the help of Lyapunov functions.
Zhang Jing, Wang Xinyao, Wang Xiaohuan
doaj   +1 more source

Positive realness and Lyapunov functions for switched behaviors

, 2012
We define a switched behavioral system as a finite bank of linear differential behaviors, together with some gluing conditions relating the system variables and their derivatives before and after each switching instant.
Rocha, Paula, Rapisarda, Paolo
core