Results 41 to 50 of about 112,131 (249)
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley +1 more source
A Lyapunov Function and Global Stability for a Class of Predator-Prey Models
We construct a new Lyapunov function for a class of predation models. Global stability of the positive equilibrium states of these systems can be established when the Lyapunov function is used.
Xiaoqin Wang, Huihai Ma
doaj +1 more source
Lyapunov matrices approach to the parametric optimization of time-delay systems
In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems 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 Józef
doaj +1 more source
Existence of complete Lyapunov functions for semiflows on separable metric spaces [PDF]
The aim of this short note is to show how to construct a complete Lyapunov function of a semiflow by using a complete Lyapunov function of its time-one map.
Patrão, Mauro
core
Input-to-state stability of infinite-dimensional control systems
We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of an ISS-Lyapunov function implies the input-to-state stability of a system.
AM Turing +25 more
core +1 more source
A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
wiley +1 more source
Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems
The main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov function.
Hind Adnan Hashim
doaj +1 more source
Since \textit{C. Conley}'s work [Ergodic Theory Dyn. Syst. 8, 11--26 (1988; Zbl 0687.58033); Isolated invariant sets and the Morse index. Providence, RI: American Mathematical Society (AMS) (1978; Zbl 0397.34056)], which showed the strong relation between Lyapunov functions and chain-recurrence, Lyapunov functions are also used to study general ...
Fathi, Albert, Pageault, Pierre
openaire +1 more source
Epidemiological Models and Lyapunov Functions [PDF]
Summary: We give a survey of results on global stability for deterministic compartmental epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a simple proof. By the same methods we also give a new result on differential susceptibility and infectivity models with mass action and an arbitrary number of compartments ...
A. Fall, A. +3 more
openaire +3 more sources
Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field
This article proposes a local interaction‐based formation control method for Multi‐Agent system, integrating consensus and leader‐follower strategies with a stress response mechanism—artificial potential field to reduce communication overhead and enable obstacle avoidance. Experimental results on triangular, square, and hexagonal formations confirm its
Luoyin Zhao +3 more
wiley +1 more source

