For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly exponentially stable with a prescribed rate. The methods here generalize and extend Gramian-based linear state feedback control to much more general time domains, e.g...

A self-stabilizing system is a distributed system which can tolerate any number and any type of faults in the history. After the last fault occurs the system starts to converge to a legitimate behavior. The self-stabilization property is very useful for systems in which processors may malfunction for a while and then recover. When there is a long enough period during which no processor malfunct...

This paper addresses the problem of adaptive stabilization of continuous-time and time-varying linear of the form ( ) ( ) ( ) ( ) x t t x t Bu t = Θ + & , when the state is accessible and with an input vector of the same dimension as the vector state. The proposed control scheme guarantees that the state of the plant, with bounded time-varying parameters, asymptotically converges to zero. For t...

This paper deals with stabilization and optimal control of interconnected discrete-time nonlinear systems under given information constraints on the controller structure. As a prominent example, the considered information constraints on the controller structure include decentralized and distributed control over a given communication network. Firstly, we briefly recall the recently introduced no...

We describe a real-time system designed to construct a stable view of a scene through aligning images of an incoming video stream and dynamically constructing an image mosaic. This system uses a video processing unit developed b y the David Samof l Research Center called the Vision Front End (VFE-100) for the pyramid-based image processing tasks requimd to implement this process. This paper inc...

In this paper the problem of image stabilization is defined as follows: a camera mounted on a moving vehicle collects a sequence of images. The vehicle is trying to move along a smooth trajectory. In fact, however, the motion of the vehicle varies from the desired smooth motion; for a ground vehicle, this would primarily be due to roughness of the terrain. The goal of image stabilization is to ...

A convex approach is proposed to deal with switched discrete-time systems with time-varying delays. It uses a parameter dependent Lyapunov-Krasovskii functional that allows to assure the robust stability or the robust stabilization of a switched system for arbitrary switching functions. The analysis and the design conditions are formulated as simple feasibility tests of linear matrix inequaliti...

In this paper, finite-time stability and stabilization problems for a class of linear time-delay systems are studied. Firstly, the concepts of finite-time stability and finite-time stabilization are extended to linear time-delay systems. Then, based on methodology of linear matrix inequalities and the Lyapunov-like functions method, some sufficient conditions under which the linear time-delay s...

The paper is concerned with the boundary controllability of entropy weak solutions to hyperbolic systems of conservation laws. We prove a general result on the asymptotic stabilization of a system near a constant state. On the other hand, we give an example showing that exact controllability in finite time cannot be achieved, in general.

By using concrete scenarios, we present and discuss a new concept of probabilistic Self-Stabilization in Distributed Systems.