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Model-based prediction of stochastic noise in biomolecular reactions often resorts to approximation with unknown precision. As a result, unexpected stochastic fluctuation causes a headache for the designers of biomolecular circuits. This…

Molecular Networks · Quantitative Biology 2018-08-07 Yuta Sakurai , Yutaka Hori

The Einstein relation, relating the steady state fluctuation properties to the linear response to a perturbation, is considered for steady states of stochastic models with a finite state space. We show how an Einstein relation always holds…

Statistical Mechanics · Physics 2007-05-23 T. Hanney , M. R. Evans

This work studies the design problem of feedback stabilizers for discrete-time systems with input delays. A backstepping procedure is proposed for disturbance-free discrete-time systems. The feedback law designed by using backstepping…

Optimization and Control · Mathematics 2012-12-05 Iasson Karafyllis , Miroslav Krstic

The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel

This paper proposes a general framework for constructing feedback controllers that drive complex dynamical systems to "efficient" steady-state (or slowly varying) operating points. Efficiency is encoded using generalized equations which can…

This paper presents and implements an iterative feedback design algorithm for stabilisation of discrete-time switched systems under arbitrary switching regimes. The algorithm seeks state feedback gains so that the closed-loop switching…

Systems and Control · Computer Science 2010-09-13 Hernan Haimovich , Julio H. Braslavsky

Almost sure asymptotic stabilization of a discrete-time switched stochastic system is investigated. Information on the active operation mode of the switched system is assumed to be available for control purposes only at random time…

Systems and Control · Computer Science 2014-09-10 Ahmet Cetinkaya , Tomohisa Hayakawa

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…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Dimitar Ho

Control Co-Design (CCD) considers the coupled effects of both the plant and control parameters to optimize a system's closed-loop transient performance during the design stage. This paper presents a new method for CCD with guarantees on…

Systems and Control · Electrical Eng. & Systems 2023-10-19 Trevor J. Bird , Jacob A. Siefert , Herschel C. Pangborn , Neera Jain

In this article we present a framework for direct data-driven control for general problems involving interconnections of dynamical systems. We first develop a method to determine the solution of a Sylvester equation from data. Such solution…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Junyu Mao , Emyr Williams , Thulasi Mylvaganam , Giordano Scarciotti

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

Optimization and Control · Mathematics 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

We consider a system of linear hyperbolic PDEs where the state at one of the boundary points is controlled using the measurements of another boundary point. Because of the disturbances in the measurement, the problem of designing dynamic…

Systems and Control · Computer Science 2017-07-25 Aneel Tanwani , Christophe Prieur , Sophie Tarbouriech

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…

Quantum Physics · Physics 2024-06-24 Tommaso Grigoletto , Francesco Ticozzi

Stability enforcement remains a challenge in data-driven control paradigms, where no parametrised model of the system is available. For instance, the system's instabilities can be estimated in order to enforce a closed-loop stability…

Systems and Control · Electrical Eng. & Systems 2020-12-14 Basile Bouteau , Pauline Kergus , Pierre Vuillemin

In this paper input-to-state practically stabilizing control laws for retarded, control-affine, nonlinear systems with actuator disturbance are investigated. The developed methodology is based on the Arstein's theory of control Liapunov…

Optimization and Control · Mathematics 2012-06-20 Pierdomenico Pepe

We provide a systematic framework for constructing generic models of nonequilibrium quantum dynamics with a target stationary (mixed) state. Our framework identifies (almost) all combinations of Hamiltonian and dissipative dynamics that…

Quantum Physics · Physics 2025-01-29 Jinkang Guo , Oliver Hart , Chi-Fang Chen , Aaron J. Friedman , Andrew Lucas

Stochastic differential equations have proved to be a valuable governing framework for many real-world systems which exhibit ``noise'' or randomness in their evolution. One quality of interest in such systems is the shape of their…

Dynamical Systems · Mathematics 2025-02-04 David Sabin-Miller , Daniel M. Abrams

Achieving optimal steady-state performance in real-time is an increasingly necessary requirement of many critical infrastructure systems. In pursuit of this goal, this paper builds a systematic design framework of feedback controllers for…

Optimization and Control · Mathematics 2017-10-30 Zachary E. Nelson , Enrique Mallada

This note addresses the output synchronization problem of incrementally output-feedback passive nonlinear systems in the presence of exogenous disturbances. Two kinds of distributed controllers are proposed; one placed at the nodes and the…

Systems and Control · Computer Science 2015-09-15 Hongkeun Kim , Claudio De Persis

The paper presents a new control algorithm for unstable linear systems with input delay. In comparison with known analogues, the control law has been designed, which is a modification of the Smith predictor, and is the simplest one to…

Optimization and Control · Mathematics 2025-07-31 Anton Pyrkin , Konstantin Kalinin