On Reachability of Quantized Control System
نویسندگان
چکیده
منابع مشابه
On the reachability of quantized control systems
In this paper, we study control systems whose input sets are quantized, i.e., finite or regularly distributed on a mesh. We specifically focus on problems relating to the structure of the reachable set of such systems, which may turn out to be either dense or discrete. We report results on the reachable set of linear quantized systems, and on a particular but interesting class of nonlinear syst...
متن کاملReachability Analysis for a Class of Quantized Control Systems
In this paper we study control systems whose input sets are quantized. We speciically focus on problems relating to the structure of the reachable set of such systems, which may turn out to be either dense or discrete. We report on some recent results on the reachable set of linear quantized systems, and study in detail a particular but interesting class of nonlinear systems, forming the discre...
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چکیده ندارد.
15 صفحه اولGroupoids in Control Systems and the Reachability Problem for a Class of Quantized Control Systems with Nonabelian Symmetries
The aim of this paper is twofold. On one hand we present an approach to the general problem of nonlinear control in the framework of (differentiable) groupoids, which, in our opinion deserves further investigation. On the other hand, using recently-developed algebraic tools, we show that for a control system whose state space is a semisimple Lie group (like SO(3)), it is possible to reach a den...
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Questions of reachability for continuous and hybrid systems can be formulated as optimal control or game theory problems, whose solution can be characterized using variants of the Hamilton-Jacobi-Bellman or Isaacs partial differential equations. The formal link between the solution to the partial differential equation and the reachability problem is usually established in the framework of visco...
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ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1976
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.12.145