We study the relationship between global exponential stability of an invariant manifold and existence a positive semidefinite Riemannian metric which is contracted by flow. In particular, we investigate how following properties are related to each other (in case): 1) A globally “transversally” exponentially stable; 2) corresponding variational system admits same property; 3) there exists degene...

In this article, we address the problem of global sampled-data output feedback stabilization for a class nonlinear uncertain systems with delayed using continuous-discrete method. Thanks to prediction technique and domination method, novel coupled design method predictor-based observer linear controller is proposed when only accessible. The can effectively estimate unknown state by compensating...

In discrete-event system control, the worst-case time complexity for computing a system's observer is exponential in number of that states. This results practical difficulties since some problems require calculating multiple observers changing system, e.g., synthesizing an opacity-enforcing supervisor. Although these iterative manner allows us to synthesize supervisor and although methods have ...

Abstract We study for the first time propagation of packets plane waves Maxwell free field in de Sitter expanding universe as detected by an observer staying at rest his proper frame with physical Sitter–Painlevé coordinates. This observes accelerate wave packet along to a null geodesic, laying out severe exponential decay and moderate dispersion, increasing exponentially during propagation. Th...

Project course instructors routinely perform their formal assessments based on impressions formed from their mostly indirect experience with the groups they oversee. Nevertheless, even with their limited vantage point, instructors trust their ability to make assessments and regulate group work. In this paper we present a 5 dimensional assessment framework based on data from an interview study i...

This paper revisits the problems of estimating the position of an object moving in n (≥ 2)-dimensional Euclidean space using velocity measurements and either direction or range measurements of one or multiple source points. The proposed solutions exploit the Continuous Riccati Equation (CRE) to calculate observer gains yielding global exponential stability of zero estimation errors, even in the...