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Parametric factorizations of linear partial operators on the plane are considered for operators of orders two, three and four. The operators are assumed to have a completely factorable symbol. It is proved that ``irreducible'' parametric…

偏微分方程分析 · 数学 2010-10-18 Ekaterina Shemyakova

This paper focusses on the application of fuzzy control techniques (fuzzy type-1 and type-2) and their hybrid forms (Hybrid adaptive fuzzy controller and fuzzy-PID controller) in the area of stabilized platforms. It represents an attempt to…

系统与控制 · 计算机科学 2011-09-05 Said Leghmizi , Sheng Liu

Feedback asymptotic stabilization of control systems is an important topic of control theory and applications. Broadly speaking, if the system $\dot{x} = f(x,u)$ is locally asymptotically stabilizable, then there exists a feedback control…

最优化与控制 · 数学 2021-09-21 Bryce A. Christopherson , Boris S. Mordukhovich , Farhad Jafari

We consider the problem of global stabilization of an unstable bioreactor model (e.g. for anaerobic digestion), when the measurements are discrete and in finite number ("quantized"), with control of the dilution rate. The model is a…

最优化与控制 · 数学 2015-08-12 Francis Mairet , Jean-Luc Gouzé

Controllability properties are studied for control-affine systems depending on a parameter and with constrained control values. The uncontrolled systems in dimension two and three are subject to a homoclinic bifurcation. This generates two…

最优化与控制 · 数学 2022-12-13 Fritz Colonius , Amani Hasan , Gholam Reza Rokni Lamouki

In this work, a nonlinear model predictive controller is developed for a batch polymerization process. The physical model of the process is parameterized along a desired trajectory resulting in a trajectory linearized piecewise model (a…

系统与控制 · 计算机科学 2015-02-17 Masoud Abbaszadeh , Reza Solgi

The design and analysis of controllers to regulate excitation transport in quantum spin rings presents challenges in the application of classical feedback control techniques to synthesize effective control, and generates results in…

量子物理 · 物理学 2023-08-22 Sean O'Neil , Frank Langbein , Edmond Jonckheere , S Shermer

In this paper we present a switching control strategy to incrementally stabilize a class of nonlinear dynamical systems. Exploiting recent results on contraction analysis of switched Filippov systems derived using regularization, sufficient…

系统与控制 · 计算机科学 2020-03-18 Mario di Bernardo , Davide Fiore

We introduce a unified framework based on bi-level optimization schemes to deal with parameter learning in the context of image processing. The goal is to identify the optimal regularizer within a family depending on a parameter in a…

偏微分方程分析 · 数学 2022-09-15 Elisa Davoli , Rita Ferreira , Carolin Kreisbeck , Hidde Schönberger

The problem of stabilization of a system of coupled PDEs of the forth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of…

系统与控制 · 电气工程与系统科学 2020-01-17 Andrea Cristofaro , Francesco Ferrante

We illustrate a technique for specifying piecewise constant controls for classes of switched electrical networks, typically used in converting power in a dc-dc converter. This procedure makes use of decompositions of SU(2) to obtain…

量子物理 · 物理学 2007-05-23 K. L. Flores , V. Ramakrishna

We propose a novel framework for learning stabilizable nonlinear dynamical systems for continuous control tasks in robotics. The key idea is to develop a new control-theoretic regularizer for dynamics fitting rooted in the notion of…

系统与控制 · 计算机科学 2018-11-13 Sumeet Singh , Vikas Sindhwani , Jean-Jacques E. Slotine , Marco Pavone

The principal task to control dynamical systems is to ensure their stability. When the system is unknown, robust approaches are promising since they aim to stabilize a large set of plausible systems simultaneously. We study linear…

系统与控制 · 电气工程与系统科学 2020-11-24 Lenart Treven , Sebastian Curi , Mojmir Mutny , Andreas Krause

The parameter-shift rule is an approach to measuring gradients of quantum circuits with respect to their parameters, which does not require ancilla qubits or controlled operations. Here, I discuss applying this approach to a wider range of…

量子物理 · 物理学 2019-06-03 Gavin E. Crooks

Using the Weyl commutation relations over a finite field we introduce a family of error-correcting quantum stabilizer codes based on a class of symmetric matrices over the finite field satisfying certain natural conditions. When the field…

量子物理 · 物理学 2007-05-23 V. Arvind , K. R. Parthasarathy

The Pauli stabilizer formalism is perhaps the most thoroughly studied means of procuring quantum error-correcting codes, whereby the code is obtained through commutative Pauli operators and ``stabilized'' by them. In this work we will show…

量子物理 · 物理学 2024-06-04 Jhih-Yuan Kao , Hsi-Sheng Goan

In this paper we consider the problem of allowing a humanoid robot that is subject to a persistent disturbance, in the form of a payload-carrying task, to follow given planned footsteps. To solve this problem, we combine an online nonlinear…

We propose a non-commutative extension of the Pauli stabilizer formalism. The aim is to describe a class of many-body quantum states which is richer than the standard Pauli stabilizer states. In our framework, stabilizer operators are…

量子物理 · 物理学 2015-06-11 Xiaotong Ni , Oliver Buerschaper , Maarten Van den Nest

As realized by Kapitza long ago, a rigid pendulum can be stabilized upside down by periodically driving its suspension point with tuned amplitude and frequency. While this dynamical stabilization is feasible in a variety of instances in…

统计力学 · 物理学 2019-10-16 Alessio Lerose , Jamir Marino , Andrea Gambassi , Alessandro Silva

This paper considers the problem of robust stability and stabilization for linear fractional-order system with nonlinear uncertain parameters, with fractional order 0<a<2. A dynamic output feedback controller, with predetermined order, for…

最优化与控制 · 数学 2021-06-25 Pouya Badri , Mahdi Sojoodi , Elyar Zavvari