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In this paper, by using the Brunovsky normal form, we provide a reformulation of the problem consisting in finding the actuator design which minimizes the controllability cost for finite-dimensional linear systems with scalar controls. Such…

最优化与控制 · 数学 2021-08-13 Borjan Geshkovski , Enrique Zuazua

In this paper, we give a complete geometric characterization of control systems, with m+1 inputs, locally static feedback equivalent to a triangular form compatible with the chained form, for m=1, respectively with the m-chained form, for…

最优化与控制 · 数学 2014-11-25 Shunjie Li , Florentina Nicolau , Witold Respondek

We consider nonlinear control systems of the so-called generalized triangular form (GTF) with time-varying and periodic dynamics which linearly depends on some external disturbances. Our purpose is to construct a feedback controller which…

动力系统 · 数学 2010-08-30 Sergey Dashkovskiy , Svyatoslav S. Pavlichkov

In this paper, we discuss the classification problem for linear time-invariant multivariable systems without control. It turns out that the observability and stability are invariant for topological equivalent systems. Abstract results…

最优化与控制 · 数学 2022-06-23 Jing Li , Zhixiong Zhang

We propose a new controllability property for linear time varying control systems in finite dimension: the nonuniform complete controllability, which is halfway between the classical Kalman's properties of complete controllability and…

最优化与控制 · 数学 2024-10-08 Ignacio Huerta , Pablo Monzón , Gonzalo Robledo

In this paper, we relate the feedback canonical form \textbf{FNCF} of differential-algebraic control systems (DACSs) with the famous Morse canonical form \textbf{MCF} of ordinary differential equation control systems (ODECSs). First, a…

最优化与控制 · 数学 2021-09-09 Yahao Chen , Witold Respondek

The problem of stabilization of unstable periodic orbits of discrete nonlinear systems is considered in the article. A new generalization of the delayed feedback, which solves the stabilization problem, is proposed. The feedback is…

混沌动力学 · 物理学 2017-10-02 D. Dmitrishin , A. Stokolos , I. Skrynnik , E. Franzheva

In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J. Krener, Extended…

最优化与控制 · 数学 2007-05-23 Wen-Long Jin

In this paper, we study feedback linearization problems for nonlinear differential-algebraic control systems (DACSs). We consider two kinds of feedback equivalences, namely, the external feedback equivalence, which is defined (locally) on…

最优化与控制 · 数学 2021-12-02 Yahao Chen

This published paper investigates the distributed tracking control problem for a class of Euler-Lagrange multi-agent systems when the agents can only measure the positions. In this case, the lack of the separation principle and the strong…

系统与控制 · 电气工程与系统科学 2019-07-02 Qingkai Yang , Hao Fang , Jie Chen , Zhong-Ping Jiang , Ming Cao

In this paper, we analyze classical and quantum physical systems from an optimal control perspective. Specifically, we explore whether their associated dynamics can correspond to an open or closed-loop feedback evolution of a control…

最优化与控制 · 数学 2020-06-12 Mauricio Contreras G. , Marcelo Villena

The paper deals with the observer design problem for a wide class of triangular nonlinear time-varying systems. The results of the present work generalize previous results in the literature dealing with the observer design problem for…

最优化与控制 · 数学 2014-03-17 Dimitris Boskos , John Tsinias

We study the exact linearization of configuration flat Lagrangian control systems with p degrees of freedom and p-1 inputs by quasi-static feedback of classical states. First, we present a detailed analysis of the structure of the…

动力系统 · 数学 2024-11-05 Georg Hartl , Conrad Gstöttner , Bernd Kolar , Markus Schöberl

A new finite atlas of overlapping balanced canonical forms for multivariate discrete-time lossless systems is presented. The canonical forms have the property that the controllability matrix is positive upper triangular up to a suitable…

最优化与控制 · 数学 2010-12-16 Ralf L. M. Peeters , Bernard Hanzon , Martine Olivi

In this paper, we present a novel 3D formation control scheme for directed graphs in a leader-follower configuration, achieving (almost) global convergence to the desired shape. Specifically, we introduce three controlled variables…

系统与控制 · 电气工程与系统科学 2025-02-05 Omid Mirzaeedodangeh , Farhad Mehdifar , Dimos V. Dimarogonas

For systems in canonical form with nonvanishing uncertainties/disturbances, this work presents an approach to full state regulation within prescribed time irrespective of initial conditions. By introducing the smooth hyperbolic-tangent-like…

系统与控制 · 电气工程与系统科学 2022-01-11 Hefu Ye , Yongduan Song

Dynamic feedback linearization-based methods allow us to design control algorithms for a fairly large class of nonlinear systems in continuous time. However, this feature does not extend to their sampled counterparts, i.e., for a given…

系统与控制 · 电气工程与系统科学 2024-06-04 Ashutosh Jindal , Florentina Nicolau , David Martin Diego , Ravi Banavar

We show that a bilinear control system is approximately controllable if and only if it is controllable in $\mathbb{R}^{n}\setminus\{0\}$. We approach this problem by looking at the foliation made by the orbits of the system, and by showing…

最优化与控制 · 数学 2021-10-11 Daniele Cannarsa , Mario Sigalotti

The purpose of this article is the investigation of the global control properties of a coupled nonlinear dispersive system posed in the periodic domain $\mathbb{T}$, a system with the structure of a nonlinear Schr\"odinger equation and a…

偏微分方程分析 · 数学 2023-07-11 Roberto de A. Capistrano-Filho , Ademir Pampu

In this paper, we study the null controllability of forward and backward stochastic semilinear complex Ginzburg-Landau equations with global Lipschitz nonlinear terms. For this purpose, by deriving an improved global Carleman estimates for…

最优化与控制 · 数学 2024-08-07 Sen Zhang , Hang Gao , Ganghua Yuan