Results 1 to 10 of about 42,377 (221)
Functional Inequalities via Lyapunov conditions [PDF]
, 2010 We review here some recent results by the authors, and various coauthors, on (weak,super) Poincar\'e inequalities, transportation-information inequalities or logarithmic Sobolev inequality via a quite simple and efficient technique: Lyapunov ...
Cattiaux, Patrick, Guillin, Arnaud
core +6 more sources
A New Slack Lyapunov Functional for Dynamical System with Time Delay
Mathematics, 2022 The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao +3 more
doaj +1 more source
State Estimation for Standard Neural Network Models with Time-Varying Delays
Complexity, 2022 The paper deals with the issue of state estimation for standard neural network models with time-varying delays. A new augmented vector with the derivative of the state is introduced in the Lyapunov–Krasovskii functional. The state estimation criteria are
Jin Zhu, Tai-Fang Li, Huanqing Wang
doaj +1 more source
Dynamical analysis of a new fractional-order predator–prey system with Holling type-III functional
Advances in Difference Equations, 2021 In this paper, we consider a new fractional-order predator–prey model with Holling type-III functional response and stage structure. Based on the Lyapunov stability theory and by constructing a suitable Lyapunov functional, we obtain some sufficient ...
Lihua Dai +3 more
doaj +1 more source
IEEE Access, 2020 In this paper, the problems of finite-time stability and stabilization for switched positive linear time-delay systems under mode-dependent average dwell time (MDADT) are investigated.
Li-Juan Liu +3 more
doaj +1 more source
Stability results for the functional differential equations associated to water hammer in hydraulics
Electronic Journal of Qualitative Theory of Differential Equations, 2022 There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
doaj +1 more source
On perturbing lyapunov functions [PDF]
Mathematical Systems Theory, 1976 A new idea of perturbing Lyapunov functions is presented which permits one to discuss nonuniform properties of solutions of differential equations under weaker ...
Lakshmikantham, V., Leela, S.
openaire +2 more sources
Nonlinear Spatiotemporal Viral Infection Model with CTL Immunity: Mathematical Analysis
Mathematics, 2020 A mathematical model describing viral dynamics in the presence of the latently infected cells and the cytotoxic T-lymphocytes cells (CTL), taking into consideration the spatial mobility of free viruses, is presented and studied.
Jaouad Danane +3 more
doaj +1 more source
Lyapunov matrices approach to the parametric optimization of a neutral system
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
doaj +1 more source
A Lyapunov functional for a system with both lumped and distributed delay
Archives of Control Sciences, 2017 In the paper construction of a Lyapunov functional for time delay system with both lumped and distributed delay is presented. The Lyapunov functional is determined by means of the Lyapunov matrix.
Duda Jozef
doaj +1 more source