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A control design approach is developed for a general class of uncertain strict-feedback-like nonlinear systems with dynamic uncertain input nonlinearities with time delays. The system structure considered in this paper includes a nominal…

最优化与控制 · 数学 2018-01-09 Prashanth Krishnamurthy , Farshad Khorrami

Recent research has shown that supervised learning can be an effective tool for designing optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of these neural network (NN) controllers is still not…

最优化与控制 · 数学 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for…

最优化与控制 · 数学 2010-12-13 Iasson Karafyllis , Miroslav Krstic

We propose an encoding and control strategy for the stabilization of switched systems with limited information, supposing the controller is given for each mode. Only the quantized output and the active mode of the plant at each sampling…

系统与控制 · 计算机科学 2014-12-19 Masashi Wakaiki , Yutaka Yamamoto

We investigate the dynamical behavior of pull-back trajectories for nonautonomous stochastic feedback systems with multiplicative noise. We proved that there exists a random periodic solution of this system and all pull-back trajectories…

动力系统 · 数学 2022-03-17 Zhao Dong , Weili Zhang , Zuohuan Zheng

Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is designed for stabilizing linear systems. The tuning procedure…

系统与控制 · 电气工程与系统科学 2022-07-19 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

Data-driven control of nonlinear systems with rigorous guarantees is a challenging problem as it usually calls for nonconvex optimization and requires often knowledge of the true basis functions of the system dynamics. To tackle these…

最优化与控制 · 数学 2023-03-27 Tim Martin , Thomas B. Schön , Frank Allgöwer

It is common in stability analysis to linearize a system and investigate the spectrum of the Jacobian matrix. This approach faces the challenge of determining the matrix spectrum when the coefficients depend on parameters or when the…

动力系统 · 数学 2025-03-17 Ziyad AlSharawi , Jose S. Cánovas , Sadok Kallel

A delayed feedback control framework for stabilizing unstable periodic orbits of linear periodic time-varying systems is proposed. In this framework, act-and-wait approach is utilized for switching a delayed feedback controller on and off…

系统与控制 · 计算机科学 2018-02-16 Ahmet Cetinkaya , Tomohisa Hayakawa , Mohd Amir Fikri bin Mohd Taib

Engineered systems naturally experience large disturbances that can disrupt desired operation because the system may fail to recover to a stable equilibrium point. It is valuable to determine the mechanism of instability when the system is…

系统与控制 · 电气工程与系统科学 2025-03-18 Jinghan Wang , Michael W. Fisher

We present a design framework to induce stable oscillations through mixed feedback control. We provide conditions on the feedback gain and on the balance between positive and negative feedback contributions to guarantee robust oscillations.…

系统与控制 · 电气工程与系统科学 2023-05-09 Weiming Che , Fulvio Forni

In this paper, we study the positivity and (uniform) exponential stability of a large class of perturbed semigroups. Our approach is essentially based on the feedback theory of infinite-dimensional linear systems. The obtained results are…

泛函分析 · 数学 2021-03-31 Abed Boulouz , Hamid Bounit , Said Hadd

We consider a nonlinear polynomial regression model in which we wish to test the null hypothesis of structural stability in the regression parameters against the alternative of a break at an unknown time. We derive the extreme value…

统计理论 · 数学 2008-10-23 Alexander Aue , Lajos Horváth , Marie Hušková , Piotr Kokoszka

In this article a new algorithm for the design of stationary input sequences for system identification is presented. The stationary input signal is generated by optimizing an approximation of a scalar function of the information matrix,…

最优化与控制 · 数学 2013-10-18 Patricio E. Valenzuela , Cristian R. Rojas , Håkan Hjalmarsson

The nonlinearity of a Boolean function is a key property in deciding its suitability for cryptographic purposes, e.g. as a combining function in stream ciphers, and so the nonlinearity computation is an important problem for applications.…

信息论 · 计算机科学 2016-10-20 Emanuele Bellini , Teo Mora , Massimiliano Sala

An iterative scheme for solving ill-posed nonlinear operator equations with monotone operators is introduced and studied in this paper. A Dynamical Systems Method (DSM) algorithm for stable solution of ill-posed operator equations with…

数值分析 · 数学 2008-04-22 N. S. Hoang , A. G. Ramm

We address the problem of stability of motor actions implemented by the central nervous system based on simple algorithms potentially reflecting physical (including physiological) processes within the body. A number of conceptually simple…

神经元与认知 · 定量生物学 2015-06-24 V. M. Akulin , F. Carlier , Stanislaw Solnik , M. L. Latash

The feedback exponential stabilization to trajectories for semilinear parabolic equations in a given bounded domain is addressed. The controls take values in a finite-dimensional space and are supported in a small region. Both internal and…

最优化与控制 · 数学 2018-07-20 Duy Phan , Sérgio S. Rodrigues

Lyapunov functions provide a tool to analyze the stability of nonlinear systems without extensively solving the dynamics. Recent advances in sum-of-squares methods have enabled the algorithmic computation of Lyapunov functions for…

动力系统 · 数学 2016-09-26 Soumya Kundu , Marian Anghel

This paper addresses problems on the structural design of control systems taking explicitly into consideration the possible application to large-scale systems. We provide an efficient and unified framework to solve the following major…

最优化与控制 · 数学 2014-09-23 Sergio Pequito , Soummya Kar , A. Pedro Aguiar