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We report on a significant improvement of the classical time-delayed feedback control method for stabilization of unstable periodic orbits or steady states. In an electronic circuit experiment we were able to realize time-varying and…

Chaotic Dynamics · Physics 2012-02-03 Thomas Jüngling , Aleksandar Gjurchinovski , Viktor Urumov

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…

Optimization and Control · Mathematics 2021-08-10 Prashanth Krishnamurthy , Farshad Khorrami

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

This paper introduces a novel approach to the optimal control of linear discrete-time systems subject to bounded disturbances. Our approach is based on the newly established duality between ellipsoidal approximations of reachable and hardly…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Egor Dogadin , Alexey Peregudin , Dmitriy Shirokih

This paper deals with the convergence time analysis of a class of fixed-time stable systems with the aim to provide a new non-conservative upper bound for its settling time. Our contribution is fourfold. First, we revisit the well-known…

Optimization and Control · Mathematics 2019-07-23 R. Aldana-López , D. Gómez-Gutiérrez , E. Jiménez-Rodríguez , J. D. Sánchez-Torres , M. Defoort

This paper deals with the development and analysis of novel time-optimal point-to-point model predictive control concepts for nonlinear systems. Recent approaches in the literature apply a time transformation, however, which do not maintain…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Christoph Rösmann , Artemi Makarow , Torsten Bertram

This paper studies the exponential stabilization on infinite dimensional system with impulse controls, where impulse instants appear periodically. The first main result shows that exponential stabilizability of the control system with a…

Optimization and Control · Mathematics 2021-05-13 Qishu Yan , Huaiqiang Yu

Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

Systems and Control · Electrical Eng. & Systems 2022-02-04 Asifa Yousaf

In this research we consider linear time-invariant plants and assume that the regressor finite excitation requirement is met. In such case, a new law to adjust the controller parameters, which ensures the exponential stability of the…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Anton Glushchenko , Kostantin Lastochkin , Vladislav Petrov

This paper is devoted to the development of adaptive control schemes for uncertain discrete-time systems, which guarantee robust, global, exponential convergence to the desired equilibrium point of the system. The proposed control scheme…

Optimization and Control · Mathematics 2015-09-02 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou

Here we deal with the stabilization problem of non-diagonal systems by boundary control. In the studied setting, the boundary control input is subject to a constant delay. We use the spectral decomposition method and split the system into…

Optimization and Control · Mathematics 2021-07-19 Ionut Munteanu

In this paper, we consider the application of optimal periodic control sequences to switched dynamical systems. The control sequence is obtained using a finite-horizon optimal method based on dynamic programming. We then consider Euler…

Systems and Control · Electrical Eng. & Systems 2021-09-10 Jawher Jerray , Laurent Fribourg , Étienne André

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

This paper presents a control-oriented delay-based modeling approach for the exponential stabilization of a scalar neutral functional differential equation, which is then applied to the local exponential stabilization of a one-layer neural…

Spectral Theory · Mathematics 2025-02-04 Cyprien Tamekue , Islam Boussaada , Karim Trabelsi

We present a stochastic predictive controller for discrete time linear time invariant systems under incomplete state information. Our approach is based on a suitable choice of control policies, stability constraints, and employment of a…

Optimization and Control · Mathematics 2018-02-27 Prabhat Kumar Mishra , Debasish Chatterjee , Daniel E. Quevedo

We propose a mechanism for realization of exact control of parity-time (PT) symmetry by using a periodically modulated nonlinear optical coupler with balanced gain and loss. It is shown that for certain appropriately chosen values of the…

Optics · Physics 2016-10-26 Baiyuan Yang , Xiaobing Luo , QiangLin Hu , XiaoGuang Yu

For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly…

Optimization and Control · Mathematics 2009-10-19 Billy J. Jackson , John M. Davis , Ian A. Gravagne , Robert J. Marks

The present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive and obtained for a wider class of systems. The presented…

Optimization and Control · Mathematics 2021-05-18 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

This paper studies static output feedback stabilization of continuous-time (incrementally) passive nonlinear systems where the control actions can only be chosen from a discrete (and possibly finite) set of points. For this purpose, we are…

Optimization and Control · Mathematics 2024-06-03 M. Z. Almuzakki , B. Jayawardhana , A. Tanwani

We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks leading to the finite-time…

Optimization and Control · Mathematics 2020-05-28 Jean-Michel Coron , Hoai-Minh Nguyen