Results 61 to 70 of about 29,963 (198)
Discrete Dynamics in Nature and Society, 2017 We consider a fractional boundary value problem involving a fractional derivative with respect to a certain function g. A Hartman-Wintner-type inequality is obtained for such problem.
Mohamed Jleli +2 more
doaj +1 more source
Stability Analysis of Integral Delay Systems with Multiple Delays
, 2015 This note is concerned with stability analysis of integral delay systems with multiple delays. To study this problem, the well-known Jensen inequality is generalized to the case of multiple terms by introducing an individual slack weighting matrix for ...
Li, Zhao-Yan, Zhou, Bin
core +1 more source
Lyapunov-type inequalities for a fractional p-Laplacian equation [PDF]
Journal of Inequalities and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al Arifi, Nassir +4 more
openaire +2 more sources
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
Journal of Applied Mathematics, 2014 By employing differential inequality technique and Lyapunov functional method, some criteria of global exponential robust stability for the high-order neural networks with S-type distributed time delays are established, which are easy to be verified with
Haiyong Zheng +4 more
doaj +1 more source
Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument
Discrete Dynamics in Nature and Society, 2023 This paper introduces the stability problems of Cohen–Grossberg type BAM neural network (BAMCGNN) with piecewise constant argument (PCA). By employing the homeomorphism theory, sufficient conditions for the existence and uniqueness of the equilibrium ...
Wenqing Zheng, Tao Xie, Wenxiang Fang
doaj +1 more source
Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems [PDF]
, 2010 This paper is devoted to the study of Lyapunov type inequalities for periodic conservative systems. The main results are derived from a previous analysis which relates the best Lyapunov constants to some especial (constrained or unconstrained ...
Canada, Antonio, Villegas, Salvador
core
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
On a Lyapunov-Type Inequality for Control of a ψ-Model Thermostat and the Existence of Its Solutions
Mathematics, 2022 In this paper, a new structure of an applied model of thermostat is defined using the generalized ψ-operators with three-point boundary conditions. Some useful properties of the relevant Green’s function are established, and based on these properties ...
Shahram Rezapour +3 more
doaj +1 more source
ON LYAPUNOV TYPE FINITE DIFFERENCE INEQUALITY
Tamkang Journal of Mathematics, 1990 Lyapunov type finite difference inequality is established which in the special case yields implicit lower bound on the distance between consecutive zeros of a nontrivial solution of a second order linear finite difference equation.
openaire +2 more sources