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A joint characterisation of the observability and controllability 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…

离散数学 · 计算机科学 2010-06-23 Amparo Fúster-Sabater , J. M. Guillén

An observability problem for linear autonomous distributed systems in the class of linear operations is considered. A criterion of observability with respect to terminal state has been proved. A connection with observability with respect to…

solv-int · 物理学 2008-02-03 B. Shklyar

A joint characterization of reachability (controllability) and observability (constructibility) for linear SISO nonuniformly sampled discrete systems is presented. The work generalizes to the nonuniform sampling the criterion known for the…

动力系统 · 数学 2010-05-21 Amparo Fúster-Sabater

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

For a large class of random matrices $A$ and vectors $b$, we show that linear systems formed from the pair $(A,b)$ are controllable with high probability. Despite the fact that minimal controllability problems are, in general, NP-hard, we…

概率论 · 数学 2015-06-11 Sean O'Rourke , Behrouz Touri

A quantum system subject to external fields is said to be controllable if these fields can be adjusted to guide the state vector to a desired destination in the state space of the system. Fundamental results on controllability are reviewed…

核理论 · 物理学 2008-11-26 John W. Clark , Dennis G. Lucarelli , Tzyh-Jong Tarn

We will study the controllability problem of a bilinear control system on $\mathbb{R}^2:$ the main result is the characterization of the Lie algebra rank condition for the system. On the other hand, using elementary techniques, we recover…

最优化与控制 · 数学 2025-06-04 Efrain Cruz-Mullisaca , Victor H. Patty-Yujra

We investigate a class of higher-order nonlinear dispersive equations posed on the circle, subject to additive forcing by a finite-dimensional control. Our main objective is to establish approximate controllability by using the…

偏微分方程分析 · 数学 2025-04-25 Debanjit Mondal

Electronics has changed greatly during recent decades, and some its basic concepts should be revisited. Starting from the sampling procedure, we consider some mathematical, physical and engineering aspects related to singular, mainly…

可精确求解与可积系统 · 物理学 2008-01-24 Emanuel Gluskin

We present a general control-theoretic framework for constructing and analyzing random decoupling schemes, applicable to quantum dynamical control of arbitrary finite-dimensional composite systems. The basic idea is to design the control…

量子物理 · 物理学 2009-11-11 Lorenza Viola , Emanuel Knill

In this paper, we study the control of a class of time-invariant linear ensemble systems whose natural dynamics are linear in the system parameter. This class of ensemble control systems arises from practical engineering and physical…

最优化与控制 · 数学 2014-10-07 Jr-Shin Li , Ji Qi

In the present paper we consider controllability and observability of second order linear time invariant systems in matrix form. Without reducing into first order systems we show how the classical conditions for first order linear systems…

最优化与控制 · 数学 2019-06-18 Elimhan N. Mahmudov

A solution is given to the basic distributed feedback control problem for a multi-channel linear system assuming only that the system is jointly controllable, jointly observable and has an associated neighbor graph which is strongly…

系统与控制 · 电气工程与系统科学 2020-03-16 L. Wang , D. Fullmer , F. Liu , A. S. Morse

Sufficient conditions for the controllability of a conservative reduced system are given. Several examples illustrating the theory are also presented.

最优化与控制 · 数学 2007-05-23 Petre Birtea , Mircea Puta , Tudor S. Ratiu

This note studies the global controllability of a general nonlinear system by extending it to affine one. The state space of the obtained affine system admits a nature foliation, each leaf of which is diffeomorphic to the state space of the…

最优化与控制 · 数学 2021-11-05 Yuanyuan Liu , Wei Zhang

We discuss the bibliography on control problems for systems with persistent memory

最优化与控制 · 数学 2018-04-06 L. Pandolfi

In this paper we investigate a relaxed concept of controllability, known in the literature as herdability, namely the capability of a system to be driven towards the(interior of the) positive orthant. Specifically, we investigate…

最优化与控制 · 数学 2021-08-05 Giulia De Pasquale , Maria Elena Valcher

We investigate the universality of multi-spin systems in architectures of various symmetries of coupling type and topology. Explicit reachability sets under symmetry constraints are provided. Thus for a given (possibly symmetric)…

量子物理 · 物理学 2009-05-17 U. Sander , T. Schulte-Herbrueggen

In this paper we consider output controllability for linear time-invariant systems. In a recent paper by Danhane, Loh{\'e}ac and Jungers it has been pointed out that although output controllability is a classical notion in control theory,…

最优化与控制 · 数学 2023-06-16 Michael Schönlein

In this paper, we study the concept of approximate controllability of retarded network systems of neutral type. On one hand, we reformulate such systems as free-delay boundary control systems on product spaces. On the other hand, we use the…

最优化与控制 · 数学 2021-01-14 Yassine El Gantouh , Said Hadd