3,064 research outputs found
Characterization of well-posedness of piecewise linear systems
One of the basic issues in the study of hybrid systems is the well-posedness (existence and uniqueness of solutions) problem of discontinuous dynamical systems. The paper addresses this problem for a class of piecewise-linear discontinuous systems under the definition of solutions of Caratheodory. The concepts of jump solutions or of sliding modes are not considered here. In this sense, the problem to be discussed is one of the most basic problems in the study of well-posedness for discontinuous dynamical systems. First, we derive necessary and sufficient conditions for bimodal systems to be well-posed, in terms of an analysis based on lexicographic inequalities and the smooth continuation property of solutions. Next, its extensions to the multimodal case are discussed. As an application to switching control, in the case that two state feedback gains are switched according to a criterion depending on the state, we give a characterization of all admissible state feedback gains for which the closed loop system remains well-pose
Saliency Based Control in Random Feature Networks
The ability to rapidly focus attention and react to salient environmental
features enables animals to move agiley through their habitats. To replicate
this kind of high-performance control of movement in synthetic systems, we
propose a new approach to feedback control that bases control actions on
randomly perceived features. Connections will be made with recent work
incorporating communication protocols into networked control systems. The
concepts of {\em random channel controllability} and {\em random channel
observability} for LTI control systems are introduced and studied.Comment: 9 pages, 2 figure
Switching Control for Parameter Identifiability of Uncertain Systems
This paper considers the problem of identifying the parameters of an
uncertain linear system by means of feedback control. The problem is approached
by considering time-varying controllers. It is shown that even when the
uncertainty set is not finite, parameter identifiability can be generically
ensured by switching among a finite number of linear time-invariant
controllers. The results are shown to have several implications, ranging from
fault detection and isolation to adaptive and supervisory control. Practical
aspects of the problem are also discussed in details
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