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Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems via the architecture of their attractors and basins, we investigate the patterns of switching between qualitatively distinct trajectories in a…

适应与自组织系统 · 物理学 2016-09-02 Jeffrey Emenheiser , Airlie Chapman , Márton Pósfai , James P. Crutchfield , Mehran Mesbahi , Raissa M. D'Souza

The problem of stabilization of unstable periodic orbits of discrete nonlinear systems is considered in the article. A new generalization of the delayed feedback, which solves the stabilization problem, is proposed. The feedback is…

混沌动力学 · 物理学 2017-10-02 D. Dmitrishin , A. Stokolos , I. Skrynnik , E. Franzheva

Systems of dynamical elements exhibiting spontaneous rhythms are found in various fields of science and engineering, including physics, chemistry, biology, physiology, and mechanical and electrical engineering. Such dynamical elements are…

适应与自组织系统 · 物理学 2017-04-12 Hiroya Nakao

This paper generalizes recent results by the authors on noninvasive model-reference adaptive control designs for control-based continuation of periodic orbits in periodically excited linear systems with matched uncertainties to a larger…

最优化与控制 · 数学 2023-01-02 Yang Li , Harry Dankowicz

This paper addresses the main goal of using reset control in precision motion control systems, breaking of the well-known "Waterbed effect". A new architecture for reset elements will be introduced which has a continuous output signal as…

系统与控制 · 电气工程与系统科学 2022-08-31 Nima Karbasizadeh , S. Hassan HosseinNia

We examine a strange chaotic attractor and its unstable periodic orbits in case of one degree of freedom nonlinear oscillator with non symmetric potential. We propose an efficient method of chaos control stabilizing these orbits by a…

混沌动力学 · 物理学 2015-06-26 G. Litak , M. Ali , L. M. Saha

In this paper, first, it is shown that if a nonlinear time-varying system is contractive, then it is incrementally exponentially stable. Second, leveraging this result, under mild restrictions, an approach is proposed to design feedforward…

系统与控制 · 电气工程与系统科学 2025-03-31 Mohamed Yassine Arkhis , Denis Efimov

In linear systems theory it's a well known fact that a regulator given by the cascade of an oscillatory dynamics, driven by some regulated variables, and of a stabiliser stabilising the cascade of the plant and of the oscillators has the…

系统与控制 · 电气工程与系统科学 2021-09-15 Daniele Astolfi , Laurent Praly , Lorenzo Marconi , Mines Paristech

This paper is motivated by the problem of asymptotically stabilizing invariant sets in the state space of control systems by means of output feedback. The sets considered are smooth embedded in submanifolds and the class of system is…

最优化与控制 · 数学 2015-04-29 Christopher Nielsen

In this paper, we study the problem of stabilizing continuous-time switched linear systems with quantized output feedback. We assume that the observer and the control gain are given for each mode. Also, the plant mode is known to the…

系统与控制 · 计算机科学 2015-09-03 Masashi Wakaiki , Yutaka Yamamoto

We will show that there is a universal connection between the achievable closed-loop dynamics and the corresponding feedback controller that produces it. This connection shows promise to lead to new methods for robust nonlinear control in…

系统与控制 · 电气工程与系统科学 2020-04-20 Dimitar Ho

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…

最优化与控制 · 数学 2024-03-27 Yu Zhou , Andrey Polyakov , Gang Zheng

Reset control enhances the performance of high-precision mechatronics systems. This paper introduces a generalized reset feedback control structure that integrates a single reset-state reset controller, a shaping filter for tuning reset…

系统与控制 · 电气工程与系统科学 2025-01-20 Xinxin Zhang , S. Hassan HosseinNia

This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance.…

最优化与控制 · 数学 2017-06-08 Hua-Cheng Zhou , George Weiss

We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control to improve convergence speed, as well as robustness with…

量子物理 · 物理学 2024-06-24 Tommaso Grigoletto , Francesco Ticozzi

This article deals with input-to-state stability (ISS) of continuous-time switched nonlinear systems. Given a family of systems with exogenous inputs such that not all systems in the family are ISS, we characterize a new and general class…

系统与控制 · 计算机科学 2017-11-27 Atreyee Kundu , Debasish Chatterjee , Daniel Liberzon

A fundamental problem in experiments with open quantum systems is to ensure steady-state convergence within a given operational time window. Here, we devise a general state preparation recipe to control relaxation timescales and achieve…

量子物理 · 物理学 2026-03-02 Nicolò Beato , Gianluca Teza

Many recent works on stabilization of nonlinear systems target the case of locally stabilizing an unstable steady state solutions against small perturbation. In this work we explicitly address the goal of driving a system into a…

动力系统 · 数学 2020-03-11 Peter Benner , Jan Heiland

This paper considers the problem of output feedback control for non-square multi-input multi-output systems with arbitrary relative degree. The proposed controller, based on the L1 adaptive control architecture, is designed using the right…

最优化与控制 · 数学 2024-12-20 Hanmin Lee , Venanzio Cichella , Naira Hovakimyan

This paper presents a constraint-enforcing control framework for a class of discrete-time strict-feedback nonlinear systems. The objective is to guarantee closed-loop stability while ensuring forward invariance of a prescribed safe set…

最优化与控制 · 数学 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel