This article proposes an adaptive neural-network command-filtered tracking control scheme of nonlinear systems with multiple actuator constraints. An equivalent transformation method is introduced to address the impediment from nonlinearity. By utilizing command filter method, explosion complexity problem addressed. With help approximation, backstepping strategy via technique and design algorithm proposed. Based on this scheme, boundedness all variables guaranteed output error fluctuates...

Fuel substrate switching between carbohydrates and fat is essential for maintaining metabolic homeostasis. During aerobic exercise, the predominant energy source gradually shifts from to fat. While it well known that exercise mobilizes storage adipose tissues, remains largely obscure how circulating lipids are distributed tissue-specifically according distinct requirements. Here, we demonstrate linked nutrient availability regulate tissue-specific activities of lipoprotein lipase (LPL), key...

In this paper, an adaptive neural network (NN) command filtered tracking control method is developed for a flexible robotic manipulator with dead-zone input. To deal the input nonlinearity, it viewed as combination of linear part and bounded disturbance-like term. The Neural networks (NNs) are used to estimate uncertain nonlinearities appeared in system. By using filter technique, problem `explosion complexity' overcome. proposed controller guarantees that all closed-loop signals system...

Large language models (LLMs) have shown impressive performance across a wide range of tasks. However, they often exhibit unexpected failures in seemingly straightforward tasks, suggesting reliance on case-based reasoning rather than rule-based reasoning. While the vast training corpus LLMs contains numerous textual "rules", current methods fail to leverage these rules effectively. Crucially, relationships between "rules" and their corresponding "instances" are not explicitly modeled. As...

Abstract In this article, the tracking control problem is addressed for uncertain nonlinear systems with actuator saturation and unmeasurable unmodeled dynamics. Being different from existing performance function results, to constraint output error within a predefined boundary in finite time, an improved function, that is, finite‐time introduced. The design difficulties of asymmetric input dynamics are solved simultaneously first time by applying smooth non‐affine measurable dynamic signal....

Summary In this paper, the fixed‐time anti‐synchronization and synchronization fault‐tolerant control problem is considered for two identical Liu‐Chen‐Liu chaotic systems with uncertain parameters. With help of stability theory adaptive backstepping method, we propose novel controllers. scheme proposed in technique used to deal unknown parameters contained systems. Besides, piecewise functional method solve singularity controller design process. The designed controllers achieve within preset...

In this research, the issue of decentralised adaptive neural finite-time prescribed performance control is discussed for nonstrict-feedback large-scale nonlinear interconnected systems subject to dead zones input and unknown direction. The obstacle 'explosion complex' occurred in conventional backstepping design can be surmounted by adopting command filter technique nonlinearities are approximated introducing an approach. To handle obstacles due directions interconnections, Nussbaum-type...

Summary This article focuses on the finite‐time adaptive fuzzy control problem based command filtering for stochastic nonlinear systems subject to input quantization. Fuzzy logic are employed estimate unknown nonlinearities. In design, hysteretic quantized is decomposed into two bounded functions, which solves chattering problem. Meanwhile, an controller presented by combination of filter technique and backstepping control, eliminates computational complexity existing in traditional design....

This brief focuses on the issue of fuzzy finite-time position tracking control for single-link flexible-joint robotic systems subject to multiple actuator constraints. At first, logic are invoked estimate completely unknown nonlinear functions, which can appropriately overcome heavy calculations. Next, inherent computational complexity problem is eliminated via adopting command filter technology and correlative error compensation mechanism exploited mitigate influence errors brought by...

Abstract In this article, under the circumstance of dead zones input and unknown control direction, adaptive practical fixed‐time strategy is presented for a general class multi‐input multi‐output (MIMO) nonlinear systems. The inherent explosion computational complexity difficulty eliminated by adopting command filter technique universal approximation properties radial basis function neural networks (RBFNNs) are applied to model functions. difficulties dynamic surface method directions can...

Summary This article investigates the problem of event‐trigger based adaptive backstepping control for a class nonlinear fractional order systems. By introducing an appropriate transformation frequency distributed model, fractional‐order indirect Lyapunov method with is obtained. In addition, event‐triggered controller developed by employing approach. Meanwhile, proposed scheme, all closed‐loop signals are globally uniformly bounded, and tracking error converges to small neighborhood origin....

Large language models (LLMs) can solve an increasing number of complex reasoning tasks while making surprising mistakes in basic numerical understanding and processing (such as 9.11 > 9.9). The latter ability is essential for tackling arithmetic mathematical problems serves a foundation most tasks, but previous work paid little attention to it or only discussed several restricted (like integer addition). In this paper, we comprehensively investigate the (NUPA) LLMs. Firstly, introduce...

ABSTRACT In this article, the issue of adaptive fuzzy finite‐time command filtered control is discussed for nonlinear stochastic systems subject to unknown dead‐zone constraints and unmodeled dynamics. The packaged nonlinearities are approximated by introducing logic systems. An improved technique introduced cope with functions structure nonstrict‐feedback in operation controller design. Under criterion stability, a novel fast convergent scheme developed. Additionally, effect filter errors...

In this article, the finite-time adaptive fuzzy output-feedback control strategy is presented for a class of multi-input and multi-output (MIMO) nonlinear systems with multiple actuator constraints unmeasured states. Fuzzy logic state observer are adopted to estimate uncertainties states, respectively. The inherent 'explosion complexity' problem eliminated by adopting command filter technology corresponding error compensation mechanism exploited alleviate influence errors generated filters....

The measurement results of the Rotating Optical Voltage Sensor (ROVS) based on Pockels effect are influenced by electric field distribution electro-optical crystal. In this paper, we analyze influence sensor from perspective optical offset, and show that inside rotating crystal is inhomogeneous fluctuating, which causes error. order to solve above problems, paper adopts a cylindrical wraps glass medium effectively eliminate fluctuation improve uniformity at same time. simulation maximum...

Invariant models, one important class of geometric deep learning are capable generating meaningful representations by leveraging informative features. These models characterized their simplicity, good experimental results and computational efficiency. However, theoretical expressive power still remains unclear, restricting a deeper understanding the potential such models. In this work, we concentrate on characterizing expressiveness invariant We first rigorously bound most classical model,...

This paper proposes a control scheme for class of non-strict-feedback systems with input delay based on adaptive neural network technology. An appropriate auxiliary system is utilized to cope the difficulties appeared in delay. Through utilization backstepping, controller technique proposed this paper. The design enables states be bounded. main significance research that an intelligent extended nonlinear form and Finally, example given prove effectiveness method.