Exact controllability of a micro beam with boundary bending moment

In this paper, we show the exact controllability of a micro beam with boundary bending moment at time T > 0, which gives a confirmative answer to the open problem proposed by P. Guzmán and J. Zhu. The semi-group approach is adopted in investigation. The asymptotic spectral expression of the micro beam system is presented to verify an observability inequality for the dual system. By the duality principle, the exact controllability of the system is then established.     

Control problems for semi-linear retarded integro-differential equations by the Fredholm theory

ABSTRACT

In this paper, we deal with the approximate controllability for semi-linear retarded functional integro-differential equations by using the Fredholm theory in Hilbert spaces. We no longer require the compactness of structural operators to obtain the approximate controllability for the nonlinear differential system, but instead we use the theory of interpolation spaces and the regularity of solutions of semi-linear given equations with unbounded principal operators. Finally, based on the properties of general degree theory in infinite dimensional spaces, we investigate the relation between the reachable set of trajectories of the semi-linear retarded functional integro-differential system and that of its corresponding linear system excluded by the nonlinear term.     

Regional optimal control of a bilinear wave equation

We study a regional optimal control problem of a bilinear wave equation evolving on a spatial domain Ω with a distributed controls. We search a distributed control which aims to minimise a given functional cost that contains the gap between a desired state and the reached one. This latter is defined only on a subregion ω of Ω. Therefore, we prove existence and we give characterisation of an optimal control. The obtained results lead to an algorithm that we illustrate by simulations.     

On controllability of homogeneous and inhomogeneous discrete-time multi-input bilinear systems in dimension two

In this paper, the controllability problem of two-dimensional discrete-time multi-input bilinear systems is completely solved. The homogeneous and the inhomogeneous cases are studied separately and necessary and sufficient conditions for controllability are established by using a linear algebraic method, which are easy to apply. Moreover, for the uncontrollable systems, near-controllability is considered and similar necessary and sufficient conditions are also obtained. Finally, examples are provided to demonstrate the results of this paper.     

Uniform ensemble controllability for one-parameter families of time-invariant linear systems

In this paper we derive necessary as well as sufficient conditions for approximate controllability of parameter-dependent linear systems in the supremum norm. Using tools from complex approximation theory, we prove the existence of parameter-independent open-loop controls that steer the zero initial state of an ensemble of linear systems uniformly to a prescribed family of terminal states. New necessary conditions for uniform ensemble controllability of single-input systems are derived. Our results extend earlier ones of Li for ensemble controllability of linear systems.     

Controllability for transmission wave/plate equations on Riemannian manifolds

In this paper we consider controllability for transmission system of coupling wave equations with Euler–Bernoulli equations on Riemannian manifolds. We show that such a system is exactly controllable by boundary controls only along the exterior boundary, which means there is no control on the interface of the transmission system. Our proofs rely on the Hilbert Uniqueness Method (HUM) and geometric multiplier method.     

Regional optimal control problem of a class of infinite-dimensional bi-linear systems

The purpose of this paper is to study regional optimal control of an infinite-dimensional bi-linear system, excited by unbounded or bounded controls. Then we prove the existence of an optimal control that minimises a functional cost and we give the characterisation of such a control. Also we give the condition that ensures the uniqueness of the optimal control. The obtained results lead to an algorithm that we illustrate by simulations for a bi-dimensional diffusion system excited by a zone actuator.     

可重构信息通信基础网络体系研究简

提出了“可重构网络”思想并建立可重构信息通信基础网络体系,然后在可重构网络功能参考模型的基础上分别创立了网络元能力理论、多态寻址路由机制、网络重构机理和安全可管可控机理,从而为构建一个支持目前业务和未来新业务的不同服务质量需求,功能灵活扩展,满足泛在互联、融合异构、可信可管可扩需求,支持现有网络兼容演进和适于规模应用的新型网络通信信息基础设施提供了一种解决途径。