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A quantum harmonic oscillator (spring subsystem) is stabilized towards a target Fock state by reservoir engineering. This passive and open-loop stabilization works by consecutive and identical Hamiltonian interactions with auxiliary…

Quantum Physics · Physics 2012-10-04 Alain Sarlette , Pierre Rouchon

We present a set of model-free, reduced-dimensional reinforcement learning (RL) based optimal control designs for linear time-invariant singularly perturbed (SP) systems. We first present a state-feedback and output-feedback based RL…

Systems and Control · Electrical Eng. & Systems 2021-02-08 Sayak Mukherjee , He Bai , Aranya Chakrabortty

The robust instability of an unstable plant subject to stable perturbations is of significant importance and arises in the study of sustained oscillatory phenomena in nonlinear systems. This paper analyzes the robust instability of linear…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Chung-Yao Kao , Sei Zhen Khong , Shinji Hara , Yu-Jen Lin

In this paper, we address the problem of stabilization in continuous time linear dynamical systems using state feedback when compressive sampling techniques are used for state measurement and reconstruction. In [5], we had introduced the…

Optimization and Control · Mathematics 2011-10-18 Kang Kang , Sourabh Bhattacharya , Tamer Basar

This paper is concerned with the problem of robust reliable control for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type. The parameter uncertainties are assumed to be norm-bounded.…

Dynamical Systems · Mathematics 2012-10-10 Shipei Huang , Zhengrong Xiang

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

We consider motility of keratocyte cells driven by myosin contraction and introduce a 2D free boundary model for such motion. This model generalizes a 1D model from [12] by combining a 2D Keller-Segel model and a Hele-Shaw type boundary…

Biological Physics · Physics 2022-02-23 C. Alex Safsten , Volodymyr Rybalko , Leonid Berlyand

In this article is shown that large systems endowing phase coexistence display self-oscillations in presence of linear feedback between the control and order parameters, where an Andronov-Hopf bifurcation takes over the phase transition.…

Statistical Mechanics · Physics 2018-01-18 Daniele De Martino

We address the feedback design problem for switched linear systems. In particular we aim to design a switched state-feedback such that the resulting closed-loop subsystems share the same eigenstructure. To this effect we formulate and…

Optimization and Control · Mathematics 2026-01-28 Maria C. Honecker , Hannes Gernandt , Kai Wulff , Carsten Trunk , Johann Reger

We consider the numerical approximations for a phase field model consisting of incompressible Navier--Stokes equations with a generalized Navier boundary condition, and the Cahn-Hilliard equation with a dynamic moving contact line boundary…

Numerical Analysis · Mathematics 2019-04-03 Xiaofeng Yang , Haijun Yu

We explore a two-dimensional dynamical system modeling transition in shear flows to try to understand the nature of an 'edge' state. The latter is an invariant set in phase space separating the basin of attraction B of the laminar state…

Fluid Dynamics · Physics 2010-06-29 Norman R. Lebovitz

In wireless communication networks, relays are required when the quality of the direct link between the source and the destination is not high enough to support reliable transmission because of long distances or obstacles. Selecting the…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Weihang Ding , Mohammad Shikh-Bahaei

We consider the modeling, stability analysis and controller design problems for discrete-time LTI systems with state feedback, when the actuation signal is subject to switching propagation delays, due to e.g. the routing in a multi-hop…

Optimization and Control · Mathematics 2014-01-09 R. M. Jungers , A. D'Innocenzo , M. D. Di Benedetto

Through experiments, we idealise a plant leaf as a flexible, thin, rectangular plate clamped at the midpoint and positioned perpendicular to an airflow. Flexibility of the structure is considered as an advantage at moderate flow speed…

Fluid Dynamics · Physics 2024-03-05 Maryam Boukor , Augustin Choimet , Éric Laurendeau , Frédérick P. Gosselin

In this paper, an adaptive two-way relay cooperation scheme is studied for multiple-relay cognitive radio networks to improve the performance of secondary transmissions. The power allocation and relay selection schemes are derived to…

Information Theory · Computer Science 2017-05-09 Qunwei Li , Pramod K. Varshney

We prove two synchronization theorems for the second-order (inertial) Winfree model of coupled oscillators. The first result is a pathwise oscillator-death theorem with explicit smallness thresholds on the natural frequencies, initial…

Analysis of PDEs · Mathematics 2026-05-05 Caiman Moreno-Earle , Seung-Yeon Ryoo , Grace To

We study transport at finite bias, i.e. beyond the linear regime, through two interacting resonant levels connected by a Fermi sea, by means of time-dependent density matrix renormalization group. We first consider methodological issues,…

Strongly Correlated Electrons · Physics 2013-12-16 Elena Canovi , Alexander Moreno , Alejandro Muramatsu

This paper characterizes self-oscillations in discrete-time linear time-invariant (LTI) relay feedback systems with nonnegative dead zone. Specifically, we aim to establish existence criteria for unimodal self-oscillations, defined as…

Optimization and Control · Mathematics 2026-03-17 Kang Tong , Christian Grussler , Michelle S. Chong

Reconfigurable intelligent surfaces (RIS) have drawn considerable attention recently due to their controllable scattering elements that are able to direct electromagnetic waves into desirable directions. Although RISs share some…

Information Theory · Computer Science 2021-04-08 Mohanad Obeed , Anas Chaaban

In this paper, we consider the problem of second moment stabilization of a scalar linear plant with process noise. We assume that the sensor must communicate with the controller over an unreliable channel, whose state evolves according to a…

Systems and Control · Electrical Eng. & Systems 2020-01-01 Shourya Bose , Pavankumar Tallapragada