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In this paper, we propose a novel nonlinear observer based on neural networks, called neural observer, for observation tasks of linear time-invariant (LTI) systems and uncertain nonlinear systems. In particular, the neural observer designed…

最优化与控制 · 数学 2023-01-18 Song Chen , Shengze Cai , Tehuan Chen , Chao Xu , Jian Chu

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

最优化与控制 · 数学 2020-11-24 Kunwu Zhang , Yang Shi

This thesis addresses the question of stability of systems defined by differential equations which contain nonlinearity and delay. In particular, we analyze the stability of a well-known delayed nonlinear implementation of a certain…

动力系统 · 数学 2007-05-23 Matthew M. Peet

We introduce a method for learning provably stable deep neural network based dynamic models from observed data. Specifically, we consider discrete-time stochastic dynamic models, as they are of particular interest in practical applications…

This paper develops a new approach to the estimation of the degree of boundedness or stability of multidimensional nonlinear systems with time-dependent nonperiodic coefficients-an essential task in various engineering and natural science…

动力系统 · 数学 2022-06-16 Mark A. Pinsky

Gradient algorithms are classical in adaptive control and parameter estimation. For instantaneous quadratic cost functions they lead to a linear time-varying dynamic system that converges exponentially under persistence of excitation…

最优化与控制 · 数学 2020-10-06 Juan G. Rueda-Escobedo , Jaime A. Moreno

We present an efficient and validated method for approximating the stationary measures of random dynamical systems with smooth additive noise. The approach leverages the strong regularizing properties of the associated transfer operator…

动力系统 · 数学 2026-02-24 Stefano Galatolo , Charles Lopez Vereau , Luigi Marangio , Isaia Nisoli

This work proposes a new a framework 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…

系统与控制 · 电气工程与系统科学 2024-06-11 Yehia Abdelsalam , Sankaranarayanan Subramanian , Sebastian Engell

This paper presents an adaptive tracking control method for a class of nonlinearly parameterized MIMO dynamic systems with time-varying delay and unknown nonlinear dead-zone inputs. A new high dimensional integral Lyapunov-Krasovskii…

系统与控制 · 计算机科学 2015-06-26 Zhijun Li , Ziting Chen , Jun Fu , Changyin Sun

There have been many recent efforts to study accelerated optimization algorithms from the perspective of dynamical systems. In this paper, we focus on the robustness properties of the time-varying continuous-time version of these dynamics.…

最优化与控制 · 数学 2019-10-04 Jorge I. Poveda , Na Li

Data-driven control strategies for dynamical systems with unknown parameters are popular in theory and applications. An essential problem is to prevent stochastic linear systems becoming destabilized, due to the uncertainty of the…

系统与控制 · 计算机科学 2019-05-20 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

This study proposes a method for designing stabilizing suboptimal controllers for nonlinear stochastic systems. These systems include time-invariant stochastic parameters that represent uncertainty of dynamics, posing two key difficulties…

最优化与控制 · 数学 2025-01-22 Yuji Ito , Kenji Fujimoto

This paper deals with the problem of finite-time learning for unknown discrete-time nonlinear systems' dynamics, without the requirement of the persistence of excitation. Two finite-time concurrent learning methods are presented to…

系统与控制 · 电气工程与系统科学 2022-05-17 Farzaneh Tatari , Christos Panayiotou , Marios Polycarpou

Collocated adaptive control of underactuated systems is still a main concern for the control community, all the more so because the collocated dynamics is no longer linear with respect to the constant base parameters. This work extends and…

系统与控制 · 计算机科学 2014-05-21 Francesco Romano , Daniele Pucci , Francesco Nori

This paper considers the stabilization of nonlinear continuous-time dynamical systems employing periodic event-triggered control (PETC). Assuming knowledge of a stabilizing feedback law for the continuous-time system with a certain…

系统与控制 · 电气工程与系统科学 2019-09-02 Michael Hertneck , Steffen Linsenmayer , Frank Allgöwer

The method to design exponentially stable adaptive observers is proposed for linear time-invariant systems parameterized by unknown physical parameters. Unlike existing adaptive solutions, the system state-space matrices A, B are not…

系统与控制 · 电气工程与系统科学 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is…

最优化与控制 · 数学 2021-08-10 Sina Ameli , Olugbenga Moses Anubi

Modelling real world systems involving humans such as biological processes for disease treatment or human behavior for robotic rehabilitation is a challenging problem because labeled training data is sparse and expensive, while high…

系统与控制 · 电气工程与系统科学 2020-06-16 Wenxin Xiao , Armin Lederer , Sandra Hirche

The paper deals with the global asymptotic stability of general nonlinear time-delay systems with delay-dependent impulses through the Lyapunov-Krasovskii method. We derive a unified stability criterion which can be applied to a variety of…

动力系统 · 数学 2022-06-09 Kexue Zhang , Elena Braverman

We consider the task of motion control for non-prehensile manipulation using parallel kinematics mechatronic setup, in particular, stabilization of a ball on a plate under unmeasured external harmonic disturbances. System parameters are…

系统与控制 · 电气工程与系统科学 2020-05-19 Dmitrii Dobriborsci , Sergey Kolyubin , Alexey Bobtsov