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The finite-time control problem of quantum systems is investigated in this paper. We first define finite-time stability and present a finite-time Lyapunov stability criterion for finite-dimensional quantum systems in coherence vector…

量子物理 · 物理学 2020-05-27 Sen Kuang , Xiaoke Guan , Daoyi Dong

This paper investigates the finite-time adaptive fuzzy tracking control problem for a class of pure-feedback system with full-state constraints. With the help of Mean-Value Theorem, the pure-feedback nonlinear system is transformed into…

系统与控制 · 电气工程与系统科学 2024-12-31 Ju Wu , Tong Wang , Min Ma

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

In this paper, we investigate the rapid stabilizability of linear infinite-dimensional control systems with constant delays. Under the assumptions that the state operator generates an immediately compact semigroup and that the delay…

最优化与控制 · 数学 2026-04-21 Yaxing Ma , Lijuan Wang , Huaiqiang Yu

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

Consider the controlled system $dx/dt = Ax + \alpha(t)Bu$ where the pair $(A,B)$ is stabilizable and $\alpha(t)$ takes values in $[0,1]$ and is persistently exciting, i.e., there exist two positive constants $\mu,T$ such that, for every…

最优化与控制 · 数学 2016-08-14 Antoine Chaillet , Yacine Chitour , Antonio Loría , Mario Sigalotti

The present paper is mainly aimed at introducing a novel notion of stability of nonlinear time-delay systems called Rational Stability. According to the Lyapunov-type, various sufficient conditions for rational stability are reached. Under…

最优化与控制 · 数学 2018-09-17 Nadhem Echi , Boulbaba Ghanmi

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…

系统与控制 · 电气工程与系统科学 2023-02-23 Jiyuan Kuang , Yabin Gao , Yizhuo Sun , Jiahui Wang , Aohua Liu , Yue Zhao , Jianxing Liu

In this paper, we solve the problem of simultaneously driving in minimum time to arbitrary final conditions, N two level quantum systems subject to independent controls. The solution of this problem is obtained via an explicit description…

量子物理 · 物理学 2015-10-27 Francesca Albertini , Domenico D'Alessandro

The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient…

系统与控制 · 计算机科学 2012-04-06 Corentin Briat , Olivier Sename , Jean-François Lafay

This paper develops a homogeneity-based approach to finite/fixed-time stabilization of linear time-invariant (LTI) system with quantized measurements. A sufficient condition for finite/fixed-time stabilization of multi-input LTI system…

最优化与控制 · 数学 2023-09-07 Yu Zhou , Andrey Polyakov , Gang Zheng

This paper provides a state feedback stabilization approach for nonlinear systems of relative degree less than or equal to two by rendering them nonlinear negative imaginary (NI) systems. Conditions are provided under which a nonlinear…

系统与控制 · 电气工程与系统科学 2022-09-07 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

Time-delayed feedback methods can be used to control unstable periodic orbits as well as unstable steady states. We present an application of extended time delay autosynchronization introduced by Socolar et al. to an unstable focus. This…

混沌动力学 · 物理学 2009-11-13 Thomas Dahms , Philipp Hoevel , Eckehard Schoell

Reliable long-time storage of arbitrary quantum states is a key element for quantum information processing. In order to dynamically decouple a spin or quantum bit from a dephasing environment, we introduce an optimized sequence of $N$…

量子物理 · 物理学 2010-04-08 Götz S. Uhrig , Stefano Pasini

This paper investigates the decentralized stabilization problem for a class of interconnected systems in the presence of non-triangular structural uncertainties and time-varying parameters, where each subsystem exchanges information only…

系统与控制 · 电气工程与系统科学 2022-08-02 Libei Sun , Xiucai Huang , Yongduan Song

In this paper, we consider the problem of stabilizing discrete-time linear systems by computing a nearby stable matrix to an unstable one. To do so, we provide a new characterization for the set of stable matrices. We show that a matrix $A$…

最优化与控制 · 数学 2019-03-29 Nicolas Gillis , Michael Karow , Punit Sharma

Results on the problem of stabilizing a nonlinear continuous-time system by a finite number of control or measurement values are presented. The basic tool is a discontinuous version of the so-called semi-global backstepping lemma. We derive…

最优化与控制 · 数学 2010-04-13 C. De Persis

This paper addresses finite-time horizon optimal control of single-loop networked control systems with stochastically modeled communication channel and disturbances. To cope with the uncertainties, an optimization-based control scheme is…

最优化与控制 · 数学 2021-05-10 Jannik Hahn , Olaf Stursberg

The prescribed-time stabilization problem for a general class of nonlinear systems with unknown input gain and appended dynamics (with unmeasured state) is addressed. Unlike the asymptotic stabilization problem, the prescribed-time…

最优化与控制 · 数学 2021-08-10 Prashanth Krishnamurthy , Farshad Khorrami

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…

系统与控制 · 电气工程与系统科学 2024-09-16 Jad Wehbeh , Eric C. Kerrigan