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This work develops a new direct adaptive control framework that extends the certainty equivalence principle to general nonlinear systems with unmatched model uncertainties. The approach adjusts the rate of adaptation online to eliminate the…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Brett T. Lopez , Jean-Jacques E. Slotine

In this work we show that given a nonlinear programming problem, it is possible to construct a family of dynamical systems defined on the feasible set of the given problem, so that: (a) the equilibrium points are the unknown critical points…

Optimization and Control · Mathematics 2012-11-07 Iasson Karafyllis

This paper addresses the problem of navigation control of a general class of uncertain nonlinear multi-agent systems in a bounded workspace of $\mathbb{R}^n$ with static obstacles. In particular, we propose a decentralized control protocol…

Systems and Control · Computer Science 2019-09-05 Alexandros Filotheou , Alexandros Nikou , Dimos V. Dimarogonas

This paper investigates the finite time stabilization problem for a class of nonlinear systems with unknown control directions and unstructured uncertainties. The unstructured uncertainties indicate that not only the parameters but also the…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Shiqi Zheng , Shihao Wang , Xiang Chen , Yuanlong Xie

This paper is concerned with the design of a distributed cooperative synchronization controller for a class of higher-order nonlinear multi-agent systems. The objective is to achieve synchronization and satisfy a predefined time-based…

Optimization and Control · Mathematics 2022-02-28 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

This paper investigates the problem of synchronization for nonlinear systems. Following a Lyapunov approach, we firstly study global synchronization of nonlinear systems in canonical control form with both distributed…

Dynamical Systems · Mathematics 2017-04-05 Davide Liuzza , Dimos V. Dimarogonas , Karl H. Johansson

A generalized ResNet architecture for adaptive control of nonlinear systems with black box uncertainties is developed. The approach overcomes limitations in existing methods by incorporating pre-activation shortcut connections and a zeroth…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Cristian F. Nino , Omkar Sudhir Patil , Jordan C. Insinger , Marla R. Eisman , Warren E. Dixon

In this paper, we focus on the problem about direct way to design a stable controller for nonlinear system. A framework of learning controller with Lyapunov-based constraint is proposed, which is intended to transform designing and analyis…

Systems and Control · Computer Science 2019-03-11 Me Le , Chi Yanxun , Li Zhiwei , Xu Dongfu , Zhang Yulong

Efforts in this paper seek to combine graph theory with adaptive dynamic programming (ADP) as a reinforcement learning (RL) framework to determine forward-in-time, real-time, approximate optimal controllers for distributed multi-agent…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Huyen Dinh , Patrick Walters , Warren Dixon

In this paper we provide a set of stability conditions for linear time-invariant networked control systems with arbitrary topology, using a Lyapunov direct approach. We then use these stability conditions to provide a novel low-complexity…

Optimization and Control · Mathematics 2014-01-27 Mohammad Razeghi-Jahromi , Alireza Seyedi

We address a distributed adaptive control methodology for nonlinear interconnected systems possibly affected by network anomalies. In the framework of adaptive approximation, the distributed controller and parameter estimator are designed…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Youqing Wang , Ying Li , Thomas Parisini , Dong Zhao

We provide a distributed coordinated approach to the stability analysis and control design of large-scale nonlinear dynamical systems by using a vector Lyapunov functions approach. In this formulation the large-scale system is decomposed…

Dynamical Systems · Mathematics 2015-07-22 Soumya Kundu , Marian Anghel

We consider the problem of asymptotic convergence to invariant sets in interconnected nonlinear dynamic systems. Standard approaches often require that the invariant sets be uniformly attracting. e.g. stable in the Lyapunov sense. This,…

Dynamical Systems · Mathematics 2007-05-23 Ivan Tyukin , Erik Steur , Henk Nijmeijer , Cees van Leeuwen

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…

Dynamical Systems · Mathematics 2007-05-23 Matthew M. Peet

This paper develops an adaptive tracking controller for a class of nonlinear systems with parametric uncertainty subject to state constraints. The system is characterized by a strict-feedback structure with unknown parameters entering both…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

This paper is concerned with the decentralized stabilization problem for a class of uncertain large-scale systems with Markovian jump parameters. The controllers use local subsystem states and neighboring mode information to generate local…

Systems and Control · Computer Science 2013-06-26 Shan Ma , Junlin Xiong , Valery A. Ugrinovskii , Ian R. Petersen

This paper proposes an adaptive tracking control with prescribed performance function for distributive cooperative control of highly nonlinear multi-agent systems. The use of such approach confines the tracking error within a large…

Optimization and Control · Mathematics 2018-10-30 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

This paper investigates a new method for consensus in a group of nonlinear complex multi-agent systems using fixed-order non-fragile dynamic output feedback controller, via an LMI approach. The proposed scheme is decentralized in the sense…

Optimization and Control · Mathematics 2015-01-21 Amir Amini , Ali Azarbahram , Mahdi Sojoodi

A novel adaptive control approach is proposed to solve the globally asymptotic state stabilization problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback…

Systems and Control · Computer Science 2016-09-29 Mingzhe Hou , Zongquan Deng , Guangren Duan

This paper presents a novel Lyapunov-based Adaptive Transformer (LyAT) controller for stochastic nonlinear systems. While transformers have shown promise in various control applications due to sequential modeling through self-attention…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Saiedeh Akbari , Xuehui Shen , Wenqian Xue , Jordan C. Insinger , Warren E. Dixon