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For linear control systems, the usual state feedback stabilizability has two components: one is a continuous observation mode (i.e., to observe solutions continuously in time), and the other is a class of feedback laws (which is usually the…

Optimization and Control · Mathematics 2022-08-29 Hanbing Liu , Gengsheng Wang , Huaiqiang Yu

This note proposes a data-driven output-feedback stabilizing policy iteration for unknown linear discrete-time systems with unmeasurable states. Existing policy iteration methods for optimal control must start from a stabilizing control…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Dongdong Li , Jiuxiang Dong

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

Optimization and Control · Mathematics 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya

Control-affine output systems generically present observability singularities, i.e. inputs that make the system unobservable. This proves to be a difficulty in the context of output feedback stabilization, where this issue is usually…

Optimization and Control · Mathematics 2021-01-18 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

Feedback control systems using sensors and actuators such as piezoelectric sensors and actuators, micro-electro-mechanical systems (MEMS) sensors and opto-mechanical sensors, are allowing new advances in designing such high precision…

Optimization and Control · Mathematics 2016-12-12 Ahmed G. Ghallab , Mohamed A. Mabrok , Ian R. Petersen

This paper studies the resilient control of networked systems in the presence of cyber attacks. In particular, we consider the state feedback stabilization problem for nonlinear systems when the state measurement is sent to the controller…

Systems and Control · Electrical Eng. & Systems 2021-04-12 Mingming Shi , Shuai Feng , Hideaki Ishii

Output feedback stabilization of control systems is a crucial issue in engineering. Most of these systems are not uniformly observable, which proves to be a difficulty to move from state feedback stabilization to dynamic output feedback…

Optimization and Control · Mathematics 2020-06-19 Ludovic Sacchelli , Lucas Brivadis , Vincent Andrieu , Ulysse Serres , Jean-Paul Gauthier

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

Optimization and Control · Mathematics 2011-10-04 Debasish Chatterjee , Daniel Liberzon

This work introduces a controller synthesis method via system level synthesis for nonlinear systems characterized by polynomial dynamics. The resulting framework yields finite impulse response, time-invariant, closed-loop transfer functions…

Optimization and Control · Mathematics 2022-09-26 Lauren Conger , Jing Shuang Li , Eric Mazumdar , Steven L. Brunton

We consider nonlinear control systems for which there exist some structural obstacles to the design of classical continuous stabilizing feedback laws. More precisely, it is studied systems for which the backstepping tool for the design of…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

In this paper, we consider N-level quantum angular momentum systems interacting with electromagnetic fields undergoing continuous-time measurements. We suppose unawareness of the initial state and physical parameters, entailing the…

Optimization and Control · Mathematics 2020-07-09 Weichao Liang , Nina H. Amini , Paolo Mason

We consider nonlinear event systems with quantized state information and design a globally stabilizing controller from which only the minimal required number of control value changes along the feedback trajectory to a given initial…

Optimization and Control · Mathematics 2012-04-27 Stefan Jerg , Oliver Junge

This study proposes a feedback linearisation based on the back-stepping method with simple implementation and unique design process to design a non-linear controller with a goal of improving both steady-state and transient stability. The…

Systems and Control · Computer Science 2013-08-28 E. Babaei , S. A. KH. Mozaffari Niapour , Mehrdad Tabarraie

This paper introduces a new approach for output feedback stabilization of SISO systems which, unlike most of the techniques found in the literature, does not use high-gain observers and control input saturation to achieve separation between…

Optimization and Control · Mathematics 2007-05-23 Manfredi Maggiore , Kevin Passino

This paper investigates the robust asymptotic stabilization of a linear time-invariant (LTI) system by a static feedback with a static state quantization. It is shown that the controllable LTI system can be stabilized to zero in a finite…

Optimization and Control · Mathematics 2024-03-27 Yu Zhou , Andrey Polyakov , Gang Zheng

This paper addresses the problem of resilient state estimation and attack reconstruction for bounded-error nonlinear discrete-time systems with nonlinear observations/ constraints, where both sensors and actuators can be compromised by…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Mohammad Khajenejad , Zeyuan Jin , Thach Ngoc Dinh , Sze Zheng Yong

We consider the adaptive control problem for discrete-time, nonlinear stochastic systems with linearly parameterised uncertainty. Assuming access to a parameterised family of controllers that can stabilise the system in a bounded set within…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this paper we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems…

Quantum Physics · Physics 2011-12-05 Kenji Kashima , Naoki Yamamoto

This paper develops a neural network based control framework that ensures system safety and input-to-state stability (ISS) for general nonlinear switched systems with unknown dynamics. Leveraging the concept of dwell time, we derive…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Bhabani Shankar Dey , Ahan Basu , Pushpak Jagtap

We examine robust output feedback control of discrete-time nonlinear systems with bounded uncertainties affecting the dynamics and measurements. Specifically, we demonstrate how to construct semi-infinite programs that produce gains to…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Jad Wehbeh , Eric C. Kerrigan