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This paper presents a constraint-lifting control framework for designing stabilizing controllers that guarantee the forward invariance of a prescribed safe set. State-of-the-art safety-enforcing methods, such as control barrier functions…

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

In this paper, we investigate a decentralized formation control algorithm for an undirected formation control model. Unlike other formation control problems where only the shape of a configuration counts, we emphasize here also its…

Systems and Control · Computer Science 2015-06-01 Xudong Chen

In this paper, we study the stability problem of a stochastic, nonlinear, discrete-time system. We introduce a linear transfer operator-based Lyapunov measure as a new tool for stability verification of stochastic systems. Weaker…

Dynamical Systems · Mathematics 2017-02-20 Umesh Vaidya

In this paper, synchronization of fractional order Coullet system with precise and also unknown parameters are studied. The proposed method which is based on the adaptive backstepping, has been developed to synchronize two chaotic systems…

Chaotic Dynamics · Physics 2012-06-12 T. M. Shahiri , A. Ranjbar , R. Ghaderi , M. Karami , S. H. Hosseinnia

A robust controller is developed for uncertain, second-order nonlinear systems subject to simultaneous unknown, time-varying state delays and known, time-varying input delays in addition to additive, sufficiently smooth disturbances. An…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Nicholas Fischer , Serhat Obuz , Warren E. Dixon

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive…

Optimization and Control · Mathematics 2013-11-15 Corentin Briat

In this paper, we address the stabilization problem for force-controlled nonholonomic mobile robots under safety-critical constraints. We propose a continuous, time-invariant control law based on the gamma m-quadratic programming (gamma…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Bo Wang , Tianyu Han , Guangwei Wang

A stochastic model predictive control (MPC) framework is presented in this paper for nonlinear affine systems with stability and feasibility guarantee. We first introduce the concept of stochastic control Lyapunov-barrier function (CLBF)…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Weijiang Zheng , Bing Zhu

Control Lyapunov functions (CLFs) play a vital role in modern control applications, but finding them remains a problem. Recently, the control Lyapunov-value function (CLVF) and robust CLVF have been proposed as solutions for nonlinear…

Optimization and Control · Mathematics 2024-04-03 Zheng Gong , Hyun Joe Jeong , Sylvia Herbert

The inherent approximation ability of neural networks plays an essential role in adaptive neural control, where the prerequisite for existence of the compact set is crucial in the control designs. Instead of using practical system state, in…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Mingxuan Sun , Shengxiang Zou

This paper is concerned with the output feedback stabilization of a reaction-diffusion equation by means of bounded control inputs in the presence of saturations. Using a finite-dimensional controller composed of an observer coupled with a…

Optimization and Control · Mathematics 2022-02-02 Hugo Lhachemi , Christophe Prieur

In this paper, we propose a quadratic programming-based filter for safe and stable controller design, via a Control Barrier Function (CBF) and a Control Lyapunov Function (CLF). Our method guarantees safety and local asymptotic stability…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Han Wang , Kostas Margellos , Antonis Papachristodoulou

In this paper quotients of control systems which are generalizations of system reductions are used to study the stabilizability property of non-linear systems. Given a control system and its quotient we study under what conditions…

Systems and Control · Computer Science 2019-03-20 Tinashe Chingozha , Otis T. Nyandoro , Anton van Wyk

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

Optimization and Control · Mathematics 2019-06-06 Elyar Zavary , Mahdi Sojoodi

This letter investigates the prescribed-instant stabilization problem for high-order integrator systems. In anothor word, the settling time under the presented controller is independent of the initial conditions and equals the prescribed…

Systems and Control · Electrical Eng. & Systems 2023-02-23 Jiyuan Kuang , Yabin Gao , Yizhuo Sun , Jiahui Wang , Aohua Liu , Yue Zhao , Jianxing Liu

In this paper, we present a control framework for a general class of control-affine nonlinear systems under spatiotemporal and input constraints. Specifically, the proposed control architecture addresses the problem of reaching a given…

Systems and Control · Computer Science 2021-06-11 Kunal Garg , Ehsan Arabi , Dimitra Panagou

This paper addresses the safe stabilization problem of stochastic nonlinear time-delay systems. Based on theKrasovskii approach, we first propose a stochastic control Lyapunov-Krasovskii functional to guarantee the stabilization objective…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Zhuo-Rui Pan , Wei Ren , Xi-Ming Sun

This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

Dynamical Systems · Mathematics 2025-05-01 Bin Zhou , Kai Zhang

This paper studies the feedback stabilization problem of the motion of a tank that contains an incompressible, Newtonian, viscous liquid. The control input is the force applied on the tank and the overall system consists of two nonlinear…

Optimization and Control · Mathematics 2021-08-26 Iasson Karafyllis , Miroslav Krstic

In this note, we present an effective solution to the stabilization of linear input delay systems subject to dissipative constraints while all the effect of input delay is compensated by a controller with novel structure. The method is…

Optimization and Control · Mathematics 2022-08-18 Qian Feng , Bo Wei