Results 61 to 70 of about 606,903 (214)
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi +2 more
wiley +1 more source
Sharp convex generalizations of stochastic Gronwall inequalities [PDF]
Journal of Differential Equations, 2021 Sarah Geiss
semanticscholar +1 more source
The -Fractional Analogue for Gronwall-Type Inequality [PDF]
Journal of Function Spaces and Applications, 2013 We utilize -fractional Caputo initial value problems of order to derive a -analogue for Gronwall-type inequality. Some particular cases are derived where -Mittag-Leffler functions and -exponential type functions are used. An example is given to illustrate the validity of the derived inequality.
Thabet Abdeljawad, Jehad Alzabut
openaire +4 more sources
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
Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations
Abstract and Applied Analysis, 2013 Some new weakly singular integral inequalities of Gronwall-Bellman type are established, which can be used in the qualitative analysis of the solutions to certain fractional differential equations.
Jing Shao, Fanwei Meng
doaj +1 more source
Sliding mode control for a nonlinear phase-field system
, 2017 In the present contribution the sliding mode control (SMC) problem for a phase-field model of Caginalp type is considered. First we prove the well-posedness and some regularity results for the phase-field type state systems modified by the state-feedback
Barbu, Viorel +4 more
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PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
wiley +1 more source
Mathematical analysis of a one-dimensional model for an aging fluid
, 2012 We study mathematically a system of partial differential equations arising in the modelling of an aging fluid, a particular class of non Newtonian fluids.
Benoit, David +3 more
core +3 more sources
Generalizations of Gronwall–Bihari inequalities on time scales [PDF]
Journal of Difference Equations and Applications, 2009 This is a preprint of an article accepted (16/May/2008) for publication in the "Journal of Difference Equations and Applications"; J. Difference Equ. Appl.
Ferreira, R.A.C., Torres, D.F.M.
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A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
Stat, Volume 15, Issue 1, March 2026.ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
wiley +1 more source