International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf +2 more
wiley +1 more source
Multiple Lyapunov functions approach to observer-basedH∞control for switched systems
, 2011 Lili Li, Jun Zhao, Georgi M. Dimirovski
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Controlling Tether Deployment and Retrieval by Lyapunov Approach Involving Quasiperiodic and Chaotic Motions [PDF]
, 2022 Francisco Salazar, A. F. B. A. Prado
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Stochastic Extinction, An Average Lyapunov Function Approach
We study the stability of $\mathcal{M}_0$, an invariant subset of a Markov process $(X_t)_{t\geq 0}$ on a metric space $\mathcal{M}$. By building the theory of average Lyapunov functions, we formulate general criteria based on the signs of Lyapunov exponents that guarantee extinction ($X_t \to \mathcal{M}_0$ as $t \to \infty$). Additionally, we provide
Foldes, Juraj, Stacy, Declan
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam +2 more
wiley +1 more source
Self-growing differential equations for hyperchaotic systems reconstruction by modified genetic programming in a novel non-Lyapunov approach [PDF]
, 2012 Fei Gao +4 more
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The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
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Stability of Retarded Dynamical Systems: A Lyapunov Function Approach
Journal of Mathematical Analysis and Applications, 2001 A dynamical system with delay described by the following functional differential equation with delay \[ \dot x(t)=f(t,x_t).\tag{1} \] is considered. Suppose that \(f(t,0)\equiv 0\) for all \(t\in\mathbb{R}\), so that \(x^*\equiv 0\) is an equilibrium point of system (1). Theorem. Let \(\lambda\) and \(p\) be positive constants, \(p\geq 1\), \(\alpha:J \
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Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments
Journal of Field Robotics, EarlyView.ABSTRACT Tunnel‐like environments, renowned for their vast scale, confined spaces, and limited visibility, present significant challenges for autonomous robot navigation. This study addresses the critical issue of guiding robots through such environments while ensuring collision‐free navigation and maintaining a specified safety margin from both tunnel
Bao Jianjun +5 more
wiley +1 more source
Nonlinear Adaptive Control of a Hybrid Fuel Cell Power System for Electric Vehicles – a Lyapunov Stability Based Approach [PDF]
, 2015 Abdelouahad Tahri +3 more
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