Results 11 to 20 of about 28,949 (123)

Lyapunov-type inequalities for sequential fractional boundary value problems using Hilfer’s fractional derivative

open access: yesJournal of Inequalities and Applications, 2019
This paper is devoted to studying the Lyapunov-type inequality for sequential Hilfer fractional boundary value problems. We first provide some properties of Hilfer fractional derivative, and then establish Lyapunov-type inequalities for a sequential ...
Wei Zhang, Wenbin Liu
doaj   +1 more source

Chaos synchronization of stochastic time-delay Lur'e systems: An asynchronous and adaptive event-triggered control approach

open access: yesElectronic Research Archive, 2023
We explore the master-slave chaos synchronization of stochastic time-delay Lur'e systems within a networked environment. To tackle the challenges posed by potential mode-mismatch behavior and limited networked channel resources, an asynchronous and ...
Xinling Li   +3 more
doaj   +1 more source

Fractional operators with exponential kernels and a Lyapunov type inequality

open access: yesAdvances in Difference Equations, 2017
In this article, we extend fractional calculus with nonsingular exponential kernels, initiated recently by Caputo and Fabrizio, to higher order. The extension is given to both left and right fractional derivatives and integrals.
Thabet Abdeljawad
doaj   +1 more source

Robust constrained model predictive control based on parameter-dependent Lyapunov functions [PDF]

open access: yes, 2008
The problem of robust constrained model predictive control (MPC) of systems with polytopic uncertainties is considered in this paper. New sufficient conditions for the existence of parameter-dependent Lyapunov functions are proposed in terms of linear ...
B. Pluymers   +21 more
core   +1 more source

On a generalized Lyapunov inequality for a mixed fractional boundary value problem

open access: yesAIMS Mathematics, 2019
In this paper, we establish a new Lyapunov-type inequality for a differential equation involving left Riemann-Liouville and right Caputo fractional derivatives subject to Dirichlet-type boundary conditions.
Rabah Khaldi, Assia Guezane-Lakoud
doaj   +1 more source

Novel Lagrange sense exponential stability criteria for time-delayed stochastic Cohen–Grossberg neural networks with Markovian jump parameters: A graph-theoretic approach

open access: yesNonlinear Analysis, 2020
This paper concerns the issues of exponential stability in Lagrange sense for a class of stochastic Cohen–Grossberg neural networks (SCGNNs) with Markovian jump and mixed time delay effects.
Iswarya Manickam   +4 more
doaj   +1 more source

Bernstein type's concentration inequalities for symmetric Markov processes [PDF]

open access: yes, 2010
Using the method of transportation-information inequality introduced in \cite{GLWY}, we establish Bernstein type's concentration inequalities for empirical means $\frac 1t \int_0^t g(X_s)ds$ where $g$ is a unbounded observable of the symmetric Markov ...
Gao, Fuqing, Guillin, Arnaud, Wu, Liming
core   +5 more sources

On Lyapunov-type inequality for a class of quasilinear systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, we establish a new Lyapunov-type inequality for quasilinear systems. Our result in special case reduces to the result of Watanabe et al. [J. Inequal. Appl. 242(2012), 1-8]. As an application, we also obtain lower bounds for the eigenvalues
Devrim Cakmak
doaj   +1 more source

Eigenvalues of Curvature, Lyapunov exponents and Harder-Narasimhan filtrations [PDF]

open access: yes, 2016
Inspired by Katz-Mazur theorem on crystalline cohomology and by Eskin-Kontsevich-Zorich's numerical experiments, we conjecture that the polygon of Lyapunov spectrum lies above (or on) the Harder-Narasimhan polygon of the Hodge bundle over any Teichm ...
Yu, Fei
core   +1 more source

Non ultracontractive heat kernel bounds by Lyapunov conditions [PDF]

open access: yes, 2013
Nash and Sobolev inequalities are known to be equivalent to ultracontractive properties of heat-like Markov semigroups, hence to uniform on-diagonal bounds on their kernel densities.
Bolley, François   +2 more
core   +3 more sources

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