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This paper provides a framework for the control of quantum mechanical systems with scattering states, i.e., systems with continuous spectra. We present the concept and prove a criterion of the approximate strong smooth controllability. Our…

量子物理 · 物理学 2007-05-23 Re-Bing Wu , Tzyh-Jong Tarn , Chun-Wen Li

In this paper, we study the reachability of two closely related matrices appearing in the analysis of linear time-varying (LTV) systems over a finite time interval, namely, its closed-loop state transition matrix via a state feedback…

系统与控制 · 电气工程与系统科学 2026-04-28 Fengjiao Liu , Yixiao Zhang , Panagiotis Tsiotras

This paper focuses on the invariance control problem for discrete-time switched nonlinear systems. The proposed approach computes controlled invariant sets in a finite number of iterations and directly yields a partition-based invariance…

最优化与控制 · 数学 2016-09-01 Yinan Li , Jun Liu

In this paper we first study the fixed-time stabilizability of discrete-time switched linear control systems. Using a geometric approach, we derive conditions under which such systems can be stabilized within a prescribed number of steps,…

最优化与控制 · 数学 2026-04-30 Picchiotti Flavio , Thiago Alves Lima , Girard Antoine

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

For large-scale network systems, network centrality based on control theory plays a crucial role in understanding their properties and controlling them efficiently. The controllability score is such a centrality index and can give a…

最优化与控制 · 数学 2025-10-07 Kota Umezu , Kazuhiro Sato

We present a scalable set-valued safety-preserving controller for constrained continuous-time linear time-invariant (LTI) systems subject to additive, unknown but bounded disturbance or uncertainty. The approach relies upon a conservative…

系统与控制 · 计算机科学 2013-12-13 Shahab Kaynama , Ian M. Mitchell , Meeko Oishi , Guy A. Dumont

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

This paper is devoted to the study of controllability of linear systems on generalized Heisenberg groups. Some general necessary controllability conditions and some sufficient ones are provided. We introduce the notion of decoupled systems,…

最优化与控制 · 数学 2015-10-15 Mouhamadou Dath , Philippe Jouan

This paper explores the structural controllability of switched linear continuous-time systems. It first identifies a gap in the proof for a pivotal criterion for the structural controllability of switched linear systems in the literature.…

系统与控制 · 电气工程与系统科学 2024-05-24 Yuan Zhang , Yuanqing Xia , Aming Li

In this paper, a unified approach to sequence-based control and estimation of linear networked systems with multiple sensors is proposed. Time delays and data losses in the controller-actuator-channel are compensated by sending sequences of…

系统与控制 · 计算机科学 2012-11-22 Jörg Fischer , Marc Reinhardt , Uwe D. Hanebeck

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 study the controllability of a coupled system of linear parabolic equations, with non-negativity constraint on the state. We establish two results of controllability to trajectories in large time: one for diagonal diffusion matrices with…

最优化与控制 · 数学 2021-05-18 Pierre Lissy , Clément Moreau

This article presents a new characterization of controllability and regional controllability of Deterministic Cellular Automata (CA for short). It focuses on analyzing these problems within the framework of control theory, which have been…

动力系统 · 数学 2025-01-07 Sara Dridi

Motivated by the development and deployment of large-scale dynamical systems, often composed of geographically distributed smaller subsystems, we address the problem of verifying their controllability in a distributed manner. In this work…

最优化与控制 · 数学 2015-06-19 Joao Carvalho , Sergio Pequito , A. Pedro Aguiar , Soummya Kar , Karl H. Johansson

We consider nonlinear scalar-input differential control systems in the vicinity of an equilibrium. When the linearized system at the equilibrium is controllable, the nonlinear system is smoothly small-time locally controllable, i.e.,…

最优化与控制 · 数学 2017-05-24 Karine Beauchard , Frédéric Marbach

Time-invariant finite-dimensional systems, under reasonable continuity assumptions, exhibit the property that if solutions exist for all future times, the set of vectors reachable from a bounded set of initial conditions over bounded time…

系统与控制 · 电气工程与系统科学 2026-03-25 Hernan Haimovich , Jose L. Mancilla-Aguilar

We study feedback control for discrete-time linear time-invariant systems in the presence of quantization both in the control action and in the measurement of the controlled variable. While in some application the quantization effects can…

系统与控制 · 计算机科学 2020-05-12 Alessandro Vittorio Papadopoulos , Federico Terraneo , Alberto Leva , Maria Prandini

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

最优化与控制 · 数学 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

The problem of computing the reachable set for a given system is a quintessential question in nonlinear control theory. While previous work has yielded a plethora of approximate and analytical methods for determining such a set, these…

最优化与控制 · 数学 2020-12-29 Melkior Ornik