Results 31 to 40 of about 3,016 (203)

Solution Bounds and Numerical Methods of the Unified Algebraic Lyapunov Equation

Mathematics, 2022
In this paper, applying some properties of matrix inequality and Schur complement, we give new upper and lower bounds of the solution for the unified algebraic Lyapunov equation that generalize the forms of discrete and continuous Lyapunov matrix ...
Juan Zhang, Shifeng Li, Xiangyang Gan
doaj   +1 more source

Lyapunov-type inequalities for nonlinear impulsive systems with applications

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, special cases of which include the impulsive Emden-Fowler equations and half-linear equations.
Zeynep Kayar, Agacik Zafer
doaj   +1 more source

Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities

Nonlinear Analysis, 2020
In this paper, we investigated the problem of the finite-time boundedness and finitetime passivity for neural networks with time-varying delays. A triple, quadrable and five integral terms with the delay information are introduced in the new Lyapunov ...
Shanmugam Saravanan, M. Syed Ali, Ahmed Alsaedi, Bashir Ahmad   +3 more
doaj   +1 more source

Multivariate Lyapunov inequalities

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

A Lyapunov-Type Inequality for Partial Differential Equation Involving the Mixed Caputo Derivative

Mathematics, 2020
In this work, we derive a Lyapunov-type inequality for a partial differential equation on a rectangular domain with the mixed Caputo derivative subject to Dirichlet-type boundary conditions.
Jie Wang, Shuqin Zhang
doaj   +1 more source

A NOTE ON AN INEQUALITY SIMILAR TO LYAPUNOV'S INEQUALITY

Demonstratio Mathematica, 1995
The author proves a number of Lyapunov inequalities for the differential equation \[ (|y'(t)|^{p-2} y'(t))'+q(t)|y(t)|^{p-2} y(t)=0, \qquad p>1, \] where \(t\in I[0,\infty)\) and \(I\) contains the points \(a,b ...
openaire   +1 more source

A Lyapunov-type inequality for a -Laplacian operator

Nonlinear Analysis: Theory, Methods & Applications, 2011
For an odd increasing function \(\psi\), a Lyapunov-type inequality for the \(\psi\)-Laplacian operator is proven. The proof is non-classical, since the Jensen, Cauchy-Schwarz or either Hölder inequalities are not used.
Sanchez, Justino, Vergara, Vicente
openaire   +6 more sources

AI‐Assisted IoT‐Enabled ECG Monitoring: Integrating Foundational and Generative AI Tools for Sustainable Smart Healthcare—Recent Trends

AI &Innovation, EarlyView.
ABSTRACT The rapid evolution of the Internet of Things (IoT) has significantly advanced the field of electrocardiogram (ECG) monitoring, enabling real‐time, remote, and patient‐centric cardiac care. This paper presents a comprehensive survey of AI assisted IoT‐based ECG monitoring systems, focusing on the integration of emerging technologies such as ...
Amrita Choudhury, Kandarpa Kumar Sarma, Lachit Dutta   +2 more
wiley   +1 more source