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In this paper, we present a state-feedback controller design method for bilinear systems. To this end, we write the bilinear system as a linear fractional representation by interpreting the state in the bilinearity as a structured…

系统与控制 · 电气工程与系统科学 2024-01-24 Robin Strässer , Julian Berberich , Frank Allgöwer

The chaotic dynamics of directly modulated semiconductor lasers with delayed optoelectronic feedback is studied numerically. The effects of positive and negative delayed optoelectronic feedback in producing chaotic outputs from such lasers…

混沌动力学 · 物理学 2009-11-13 Bindu M. Krishna , Manu. P. John , V. M. Nandakumaran

Based on the principle of chaotification for continuous-time autonomous systems, which relies on two basic properties of chaos, i.e., globally bounded with necessary positive-zero-negative Lyapunov exponents, this paper derives a feasible…

混沌动力学 · 物理学 2016-12-21 Simin Yu , Guanrong Chen

We present a methodology for stabilization of general nonlinear systems with actuator dynamics governed by general, quasilinear, first-order hyperbolic PDEs. Since for such PDE-ODE cascades the speed of propagation depends on the PDE state…

最优化与控制 · 数学 2017-10-23 Nikolaos Bekiaris-Liberis , Miroslav Krstic

We consider a one-dimensional controlled reaction-diffusion equation, where the control acts on the boundary and is subject to a constant delay. Such a model is a paradigm for more general parabolic systems coupled with a transport…

最优化与控制 · 数学 2015-11-11 Delphine Bresch-Pietri , Christophe Prieur , Emmanuel Trélat

This paper studies the global feedback stabilization problem of a system with two pistons and the area between them containing a viscous compressible fluid (gas) modeled by the Navier-Stokes equations. The control input is the force applied…

最优化与控制 · 数学 2021-04-20 Iasson Karafyllis , Miroslav Krstic

Solving an output consensus problem in multi-agent systems is often hindered by multiple time-variant delays. To address such fundamental problems over time, we present a new optimal time-variant distributed control for linearly perturbed…

系统与控制 · 电气工程与系统科学 2023-02-28 Milad Gholami

A static non-linear homogeneous feedback for a fixed-time stabilization of a linear time-invariant (LTI) system is designed in such a way that the settling time is assigned exactly to a prescribed constant for all nonzero initial…

系统与控制 · 电气工程与系统科学 2023-07-06 Andrey Polyakov , Miroslav Krstic

The feedback linearization method is further developed for the controller design on general nonlinear systems. Through the Lyapunov stability theory, the intractable nonlinear implicit algebraic control equations are effectively solved, and…

系统与控制 · 计算机科学 2018-01-01 Sheng Zhang , Fei Liao , Yanqing Chen , Kaifeng He

This paper introduces an explicit reference governor approach for controlling time delay linear systems subject to state and input constraints. The proposed framework relies on suitable invariant sets that can be built using both…

系统与控制 · 计算机科学 2017-12-25 Marco M. Nicotra , Tam Nguyen , Emanuele Garone , Ilya V. Kolmanovsky

In this paper, we investigate the mean-square stabilization for discrete-time stochastic systems that endure both multiple input delays and multiplicative control-dependent noises. For such multi-delay stochastic systems, we for the first…

最优化与控制 · 数学 2023-03-16 Cheng Tan , Zhengqiang Zhang , Haoting Sui , Wing Shing Wong

Stability of retarded differential equations is closely related to the existence of Lyapunov-Krasovskii functionals. Even if a number of converse results have been reported regarding the existence of such functionals, there is a lack of…

最优化与控制 · 数学 2021-01-01 Hugo Lhachemi , Robert Shorten

We show that global generalized synchronization (GS) exists in structurally different time-delay systems, even with different orders, with quite different fractal (Kaplan-Yorke) dimensions, which emerges via partial GS in symmetrically…

混沌动力学 · 物理学 2015-06-12 D. V. Senthilkumar , R. Suresh , M. Lakshmanan , J. Kurths

This paper, the second of a two-part series, presents a method for mean-field feedback stabilization of a swarm of agents on a finite state space whose time evolution is modeled as a continuous time Markov chain (CTMC). The resulting…

系统与控制 · 计算机科学 2017-03-29 Shiba Biswal , Karthik Elamvazhuthi , Spring Berman

The delay Lyapunov equation is an important matrix boundary-value problem which arises as an analogue of the Lyapunov equation in the study of time-delay systems $\dot{x}(t) = A_0x(t)+A_1x(t-\tau)+B_0u(t)$. We propose a new algorithm for…

数值分析 · 数学 2018-10-16 Elias Jarlebring , Federico Poloni

The problem of disturbance rejection/attenuation for constant-input delayed linear multi-agent systems (MASs) with the directed communication topology is tackled in this paper, where a classic model reduction technique is introduced to…

系统与控制 · 计算机科学 2018-03-28 Wei Jiang , Zhaoxia Peng , Ahmed Rahmani , Wei Hu , Guoguang Wen

This article deals with the implementation of the Smith Predictor for state feedback control in state space representation. The desired control law, obtained using partial differential equations and backstepping control, contains an…

系统与控制 · 电气工程与系统科学 2025-12-03 Jesus-Pablo Toledo-Zucco , Frédéric Gouaisbaut , Gaetan Chapput

We study a feedback scheme to stabilize an arbitrary photon number state in a microwave cavity. The quantum non-demolition measurement of the cavity state allows a non-deterministic preparation of Fock states. Here, by the mean of a…

最优化与控制 · 数学 2010-11-11 Hadis Amini , Mazyar Mirrahimi , Pierre Rouchon

This paper presents a Newton-based stochastic extremum-seeking control method for real-time optimization in multi-input systems with distinct input delays. It combines predictor-based feedback and Hessian inverse estimation via stochastic…

最优化与控制 · 数学 2025-02-04 Paulo Cesar Souza Silva , Paulo Cesar Pellanda , Tiago Roux Oliveira

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