Further Results on Lyapunov Functions for Slowly Time-Varying Systems
We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially ...
Malisoff, Michael, Mazenc, Frederic
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Design of Connectivity Preserving Flocking Using Control Lyapunov Function
This paper investigates cooperative flocking control design with connectivity preserving mechanism. During flocking, interagent distance is measured to determine communication topology of the flocks.
Bayu Erfianto +3 more
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Estimation of the Domain of Attraction of Free Tumor Equilibrium Point for Perturbed Tumor Immunotherapy Model [PDF]
In this paper, we are going to estimate the domain of attraction of tumor-free equilibrium points in a perturbed cancer tumor model describing the tumor-immune system competition dynamics.
A. Dini, M.J. Yazdanpanah
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Global dynamics of SVIR epidemic model with distributed delay and imperfect vaccine
In this research, we investigate an SVIR system with distributed delay. We first provide some preliminary results on the proprieties of the Volterra function and the well-posedness of the solution, also the existence of a global compact attractor denoted
Salih Djilali, Soufiane Bentout
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Feedback Stabilization and Lyapunov Functions [PDF]
The authors consider the problem of finding a feedback stabilizing law \(x \to k(x)\) associated with a control system \(x'(t) = f(x(t),u(t))\). Using the concept of positional strategies introduced in the framework of differential games by Krasovskii and Subbotin in 1988, assuming the existence of a Lyapunov Lipschitz function \(V\) defined on the ...
Clarke, F.H. +3 more
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Nonlinear Control Strategy of MMC-RPC Based on Lyapunov Function
In order to comprehensively control the power quality in the traction power supply system, based on the power compensation vector diagram, the power relationship between the left and right power supply sections of the V/v traction transformer was ...
Pinggang SONG +4 more
doaj
Global finite-time stability of differential equation with discontinuous right-hand side
In the paper new sufficient conditions for global finite-time stability of a stationary solution to differential equation with discontinuous right-hand side are given. Time-dependent Lyapunov function which is only continuous is used.
Radosław Matusik, Andrzej Rogowski
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In this paper, we propose a Sectorial Fuzzy Controller (SFC) with a feedforward compensation of the robot dynamics in joint space, evaluated at the desired angular positions, velocities, and accelerations, applied to the trajectory tracking of all ...
Andres Pizarro-Lerma +3 more
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Lyapunov-based Model Predictive Control of Nonlinear Quadruple Tank System Using Constrained and Unconstrained Methods [PDF]
Model predictive control is a widely utilized advanced control technique in industrial settings, valued for its capacity to effectively manage complex multi-input multi-output processes while optimizing process performance.
Hossein Yektamoghaddam +3 more
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Lyapunov Functions in Piecewise Linear Systems: From Fixed Point to Limit Cycle [PDF]
This paper provides a first example of constructing Lyapunov functions in a class of piecewise linear systems with limit cycles. The method of construction helps analyze and control complex oscillating systems through novel geometric means.
Ao, Ping +4 more
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