Results 31 to 40 of about 92,165 (305)
International Journal of Adaptive Control and Signal Processing, EarlyView.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
Applications of Lyapunov Functions to Caputo Fractional Differential Equations
Mathematics, 2018 One approach to study various stability properties of solutions of nonlinear Caputo fractional differential equations is based on using Lyapunov like functions.
Ravi Agarwal +2 more
doaj +1 more source
, 2017 This paper proposes a Lyapunov-based economic MPC scheme for nonlinear sytems with non-monotonic Lyapunov functions. Relaxed Lyapunov-based constraints are used in the MPC formulation to improve the economic performance.
Hu, Guoqiang, Wang, Zheming
core +1 more source
Transactions of the American Mathematical Society, 2018 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]
Mathematical Modelling of Natural Phenomena, 2007 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
A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.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
Input-to-state stability of infinite-dimensional control systems
, 2012 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
Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field
Advanced Robotics Research, EarlyView.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
Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems
Complexity, 2018 Lyapunov functions play a key role in the stability analysis of complex systems. In this paper, we study the existence of a class of common weak linear copositive Lyapunov functions (CWCLFs) for positive switched linear systems (PSLSs) which generalize ...
Yuangong Sun, Zhaorong Wu, Fanwei Meng
doaj +1 more source
Lyapunov Functions in Piecewise Linear Systems: From Fixed Point to Limit Cycle [PDF]
, 2013 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
core