Chaotic Characteristics of Discrete-time Linear Inclusion Dynamical Systems

In this paper, we study the chaotic behavior of a discrete-time linear inclusion.Comment: 7 pages; submitte

Formation Control with Unknown Directions and General Coupling Coefficients

Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling coefficients. However, the direction may be unknown in the sensing processes, and the coupling coefficients may also involve negative ones due to some circumstances. This paper introduces these phenomena into a class of displacement-based formation control problem. Then, a geometric approach have been employed to overcome the difficulty of analysis on the introduced phenomena. The purpose of this approach is to construct some convex polytopes for containing the effects caused by the unknown direction, and to analyze the non-convexity by admitting the negative coupling coefficients in a certain range. Under the actions of these phenomena, the constructed polytopes are shown to be invariant in view of the contractive set method. It means that the convergence of formation shape can be guaranteed. Subsequently, an example is given to examine the applicability of derived result

A Consensus-Based Grouping Algorithm for Multi-agent Cooperative Task Allocation with Complex Requirements

Este artículo repasa los usos del llamado paradigma hexaemeral (el relato de la creación del mundo contenido en el primer capítulo del Génesis) en la poesía de Lope, dejando aparte los ejemplos contenidos en su prosa doctrinal y en su teatro, donde el motivo tiene una dilatada presencia en sus autos sacramentales. La escasez de ejemplos en su poesía lírica se explica en parte por la específica materia sacra y catequética del motivo. This paper shows the use of the hexaemeral paradigm (the story of the creation of the world contained in the first chapter of the book of Genesis) in the poetry of Lope, not including other examples from his doctrinal prose and theater, where the topic has an extensive presence, especially in his sacramental plays. The scarcity of cases in Lope’s lyric poetry is partly explained by the specific sacred and catechetical content of the motif

Exponential Stability of Time-Switched Two-Subsystem Nonlinear Systems with Application to Intermittent Control

This paper studies the exponential stability of a class of periodically time-switched nonlinear systems. Three cases of such systems which are composed, respectively, of a pair of unstable subsystems, of both stable and unstable subsystems, and of a pair of stable systems, are considered. For the first case, the proposed result shows that there exists periodically switching rule guaranteeing the exponential stability of the whole system with (sufficient) small switching period if there is a Hurwitz linear convex combination of two uncertain linear systems derived from two subsystems by certain linearization. For the second case, we present two general switching criteria by means of multiple and single Lyapunov function, respectively. We also investigate the stability issue of the third case, and the switching criteria of exponential stability are proposed. The present results for the second case are further applied to the periodically intermittent control. Several numerical examples are also given to show the effectiveness of theoretical results