Results 1 to 10 of about 398 (96)
Communications in Nonlinear Science and Numerical Simulation, 2021 In this paper we study the continuous and full discrete versions of a parabolic-parabolic-elliptic system with periodic terms that serves as a model for some chemotaxis phenomena. This model appears naturally in the interaction of two biological species and a chemical.
Mihaela Negreanu, Antonio Manuel Vargas
openaire +3 more sources
Periodic Solutions and Asymptotic Behavior of a PDE with Hysteresis in the Source Term
Rocky Mountain Journal of Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs
Journal of Differential Equations, 2003 Every semigroup \(T\) on a Banach space \(X\) can be used to define elements \(u\in X\) of exponential type relative to \(T\) by requiring that \(u= T(s)v\) for some \(s>0\) and \(v\in X\). Let \(X\) and \(Y\) be Banach spaces in which the exponential type is characterized by the semigroups \(T\) and \(S\), respectively, and \(L: X\to Y\) be Fredholm ...
openaire +1 more source
Approximate Reachability for Feedback Linearizable Systems
Optimal Control Applications and Methods, EarlyView.The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu +2 more
wiley +1 more source
Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
Feedback Linearisation with State Constraints
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley +1 more source
Artificial Intelligence for Engineering, EarlyView.Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri +4 more
wiley +1 more source
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
wiley +1 more source
International Endodontic Journal, EarlyView.ABSTRACT Aim Wolters' classification of pulpitis has been proposed to classify pulpitis into 4 categories (initial, mild, moderate, severe), aiming to guide clinicians to implement the relevant vital endodontic treatment. The main objective of this study was to test the histologic validity and clinical reliability of the Wolters classification ...
Çağla Fatmanur Yılmaz +3 more
wiley +1 more source
Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source