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In this work, we study finite-time stability of switched and hybrid systems in the presence of unstable modes. We present sufficient conditions in terms of multiple Lyapunov functions for the origin of the system to be finite time stable.…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Kunal Garg , Dimitra Panagou

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

Analysis of PDEs · Mathematics 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

In this paper, we propose and demonstrate an adaptive-sliding mode control for trajectory tracking control of robot manipulators subjected to uncertain dynamics, vibration disturbance, and payload variation disturbance. Throughout this work…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Mustafa M. Mustafa , Carl D. Crane , Ibrahim Hamarash

We present the stability analysis for the new regulation-triggered approach to adaptive control introduced in a companion paper. Due to the fact that the closed-loop system is hybrid, our proofs have essential differences from the…

Optimization and Control · Mathematics 2016-09-13 Iasson Karafyllis , Miroslav Krstic

In this paper, we propose a second-order dynamical system with a smoothing effect for solving paramonotone variational inequalities. Under standard assumptions, we prove that the trajectories of this dynamical system converges to a solution…

Optimization and Control · Mathematics 2024-11-25 Pham Viet Hai , Trinh Ngoc Hai

This paper offers a data-driven approach for designing adaptive suboptimal second-order sliding mode (ASSOSM) controllers for single-input nonlinear systems, characterized by perturbed strict-feedback structures with unknown dynamics. The…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Behrad Samari , Gian Paolo Incremona , Antonella Ferrara , Abolfazl Lavaei

This paper proposes a composite adaptive control architecture using dual adaptation scheme for dynamical systems comprising time-varying uncertain parameters. While majority of the adaptive control schemes in literature address the case of…

Systems and Control · Electrical Eng. & Systems 2022-06-06 Raghavv Goel , Sayan Basu Roy

Compliance is a strong requirement for human-robot interactions. Soft-robots provide an opportunity to cover the lack of compliance in conventional actuation mechanisms, however, the control of them is very challenging given their intrinsic…

Robotics · Computer Science 2021-10-12 Mahmood Mazare , Silvia Tolu , Mostafa Taghizadeh

This paper addresses the problem of exponential and accelerated finite-time, as well as nearly fixed-time, stabilization of switched linear MIMO systems. The proposed approach relies on a generalized homogenization framework for switched…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Moussa Labbadi , Andrey Polyakov , Denis Efimov

The robotic manipulation of composite rigid-deformable objects (i.e. those with mixed non-homogeneous stiffness properties) is a challenging problem with clear practical applications that, despite the recent progress in the field, it has…

Robotics · Computer Science 2021-06-07 Jiaming Qi , Guangfu Ma , Jihong Zhu , Peng Zhou , Yueyong Lyu , Haibo Zhang , David Navarro-Alarcon

In this work, we propose the design and analysis of a novel continuous robust controller for a class of multi--input multi--output (MIMO) nonlinear uncertain systems. The systems under consideration contains unstructured uncertainties in…

Optimization and Control · Mathematics 2013-01-24 Baris Bidikli , Enver Tatlicioglu , Erkan Zergeroglu , Alper Bayrak

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…

Systems and Control · Computer Science 2015-06-26 Zhijun Li , Ziting Chen , Jun Fu , Changyin Sun

With the development of the space missions, there are extensive missions in the demand of the prescribed time convergence. However, it is still a difficult work to combine the prescribed time method with the sliding mode control due to the…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Zhirun Chen , Xiaozhe Ju , Ziwei Wang , Qing Li

In this paper, we present new results on finite- and fixed-time convergence for dynamical systems using LaSalle-like invariance principles. In particular, we provide first and second-order non-smooth Lyapunov-like results for finite- and…

Optimization and Control · Mathematics 2026-03-25 Kunal Garg

A sliding-mode-based adaptive boundary control law is proposed for a class of uncertain thermal reaction-diffusion processes subject to matched disturbances. The disturbances are assumed to be bounded, but the corresponding bounds are…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Paul Mayr , Alessandro Pisano , Stefan Koch , Markus Reichhartinger

This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and constraints in multi-agent systems, particularly those subject to disturbances. By…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Zeinab Ebrahimi , Mohammad Deghat

This paper studies the super-twisting algorithm (STA) for adaptive sliding mode design. The proposed method tunes the two gains of STA on line simultaneously such that a second order sliding mode can take place with small rectifying gains.…

Systems and Control · Computer Science 2018-05-22 Xiaogang Xiong , Shyam Kamal , Shanhai Jin

This paper deals with sliding mode control for multivariable polytopic uncertain systems. We provide systematic procedures to design variable structure controllers (VSCs) and unit-vector controllers (UVCs). Based on suitable representations…

Optimization and Control · Mathematics 2024-11-21 Pedro Henrique Silva Coutinho , Iury Bessa , Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira

This paper develops a comprehensive extension of the $\Lambda$-set framework for optimal control, introducing second-order $\Lambda$-sets and generalizing the theory to non-smooth, hybrid, and stochastic hybrid systems. We first establish…

Optimization and Control · Mathematics 2025-12-11 Mohammad H. M Rashid

This article presents an adaptive Super-Twisting Sliding Mode Control framework for uncertain first-order systems, with rate-bounded perturbations, where the bound is constant but unknown. Positive definite barrier functions, when used in…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Antoine Thibault Vié , Leonid Fridman , Roberto Galeazzi , Dimitrios Papageorgiou