Results 91 to 100 of about 83,867 (245)
Stability of solutions to impulsive Caputo fractional differential equations
Electronic Journal of Differential Equations, 2016 Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lyapunov functions among the nonlinear impulsive Caputo differential equation ...
Ravi Agarwal +2 more
doaj
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Stability Analysis of Linear Time-Varying Delay Systems via a Novel Augmented Variable Approach
MathematicsThis paper investigates the stability issues of time-varying delay systems. Firstly, a novel augmented Lyapunov functional is constructed for a class of bounded time-varying delays by introducing new double integral terms.
Wenqi Liao, Hongbing Zeng, Huichao Lin
doaj +1 more source
Exact solution of some linear matrix equations using algebraic methods [PDF]
A study is done of solution methods for Linear Matrix Equations including Lyapunov's equation, using methods of modern algebra. The emphasis is on the use of finite algebraic procedures which are easily implemented on a digital computer and which lead to
Djaferis, T. E., Mitter, S. K.
core +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Hydraulic manipulators exhibit strong coupling, pronounced nonlinearities, and significant modeling uncertainties, which hinder high‐precision motion control. This paper proposes a finite‐time disturbance observer–based nonlinear robust adaptive control (RAC‐FTDO) framework enhanced by a physically consistent dynamic parameter identification ...
Tianyu Gao +3 more
wiley +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales +8 more
wiley +1 more source
On the Lyapunov and Stein Equations, II
Linear Algebra and its Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Silva, F.C., Simões, R.
openaire +3 more sources
A pilot variational coupled reanalysis based on the CESAM climate model
Quarterly Journal of the Royal Meteorological Society, EarlyView.Variational data assimilation of in‐situ and satellite ocean data and reanalysis atmospheric data into an intermediate complexity Earth system model is possible by adjusting the surface fluxes and internal model parameters. This pilot application requires nearly complete information on the atmospheric state for synchronization.
Armin Köhl +6 more
wiley +1 more source
Lyapunov-type inequalities for partial differential equations
Journal of Functional Analysis, 2016 In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $ $. We also consider singular and degenerate elliptic problems with $A_p$ coefficients involving the $p-$Laplace operator with zero Dirichlet boundary condition.
Pablo L. de Nápoli, Juan P. Pinasco
openaire +4 more sources
Quarterly Journal of the Royal Meteorological Society, EarlyView.The predictability of western and eastern North Pacific blocking events is assessed using analogue‐based diagnostics. Eastern blocks exhibit lower predictability, characterized by faster error growth and higher mean logarithmic divergence rates. The study highlights geographical contrasts in blocking stability.
Anupama K. Xavier +3 more
wiley +1 more source