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We consider networks of elastic strings with end masses, where the coupling is modeled via elastic springs. The model is representative of a network of nonlinear strings, where the strings are coupled to elastic bodies. The coupled system…

最优化与控制 · 数学 2025-12-24 Günter Leugering , Charlotte Rodriguez , Yue Wang

We develop a linear systems theory that coincides with the existing theories for continuous and discrete dynamical systems, but that also extends to linear systems defined on nonuniform time domains. The approach here is based on…

最优化与控制 · 数学 2009-03-03 John M. Davis , Ian A. Gravagne , Billy J. Jackson , Robert J. Marks

The paper introduces and solves a structural controllability problem for continuum ensembles of linear time-invariant systems. All the individual linear systems of an ensemble are sparse, governed by the same sparsity pattern.…

系统与控制 · 电气工程与系统科学 2021-07-13 Xudong Chen

The paper is devoted to the controllability problem for 3D compressible Euler system. The control is a finite-dimensional external force acting only on the velocity equation. We show that the velocity and density of the fluid are…

偏微分方程分析 · 数学 2010-12-10 Hayk Nersisyan

Influence diagram is a graphical representation of belief networks with uncertainty. This article studies the structural properties of a probabilistic model in an influence diagram. In particular, structural controllability theorems and…

人工智能 · 计算机科学 2013-03-25 Brian Y. Chan , Ross D. Shachter

We describe a particular control method for a system controlled by several actuators with the same control constants. We show under certain assumptions that the control constants for the whole system can be obtained immediately from the…

最优化与控制 · 数学 2022-05-26 Stephen Montgomery-Smith

The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool. It is based on an explicit expression of a…

最优化与控制 · 数学 2015-12-29 Rabah Rabah , Grigory Sklyar

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

系统与控制 · 计算机科学 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

This paper is the first part of a project devoted to studying the interconnection between controllability properties of a dynamical system and the large-time asymptotics of trajectories for the associated stochastic system. It is proved…

经典分析与常微分方程 · 数学 2018-03-07 Armen Shirikyan

The classical notions of structural controllability and structural observability are receiving increasing attention in Network Science, since they provide a mathematical basis to answer how the network structure of a dynamic system affects…

系统与控制 · 计算机科学 2018-12-13 Marco Tulio Angulo , Andrea Aparicio , Claude H. Moog

Positive linear systems on arbitrary time scales are studied. The theory developed in the paper unifies and extends concepts and results known for continuous-time and discrete-time systems. A necessary and sufficient condition for a linear…

最优化与控制 · 数学 2012-04-17 Zbigniew Bartosiewicz

Several concepts on the measure of observability, reachability, and robustness are defined and illustrated for both linear and nonlinear control systems. Defined by using computational dynamic optimization, these concepts are applicable to…

最优化与控制 · 数学 2009-07-17 Wei Kang , Liang Xu

A fundamental concept in control theory is that of controllability, where any system state can be reached through an appropriate choice of control inputs. Indeed, a large body of classical and modern approaches are designed for controllable…

最优化与控制 · 数学 2022-06-13 Yonathan Efroni , Sham Kakade , Akshay Krishnamurthy , Cyril Zhang

We consider the set of bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. Focusing on the unobservable planar ones, we obtain a simple…

动力系统 · 数学 2012-01-04 Josep Ferrer , M. Dolors Magret , Juan R. Pacha , Marta Peña

For linear control systems with bounded control range, chain controllability properties are analyzed. It is shown that there exists a unique chain control set and that it equals the sum of the control set around the origin and the center…

最优化与控制 · 数学 2025-08-19 Fritz Colonius , Alexandre J. Santana , Eduardo C. Viscovini

We define observability and detectability for linear switching systems as the possibility of reconstructing and respectively of asymptotically reconstructing the hybrid state of the system from the knowledge of the output for a suitable…

动力系统 · 数学 2008-02-28 Elena De Santis , Maria Domenica Di Benedetto , Giordano Pola

We consider a linear viscoelastic system of Maxwell-Boltzmann type. Hence, viscosity contributes a memory term to the elastic equation. The system is controlled via the traction exerted on a part $\Gamma_1$ of the boundary of the body. We…

最优化与控制 · 数学 2018-09-21 Luciano Pandolfi

A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

动力系统 · 数学 2010-06-14 Amparo Fúster-Sabater , J. M. Guillén

In this paper, we investigate the controllability of a class of formation control systems. Given a directed graph, we assign an agent to each of its vertices and let the edges of the graph describe the information flow in the system. We…

系统与控制 · 计算机科学 2015-06-02 Xudong Chen , M. -A. Belabbas , Tamer Basar

Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer for this class of systems is proposed with arbitrary gain…

最优化与控制 · 数学 2023-08-16 Alexander Zuyev , Julia Kalosha
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