Geometric Control Theory for Linear Systems: a Tutorial
نویسندگان
چکیده
This paper reviews in a condensed form the main tools and results of the geometric approach developed in the last forty years. Because of the vastness of the subject, this tutorial does not pretend to be exhaustive, and more emphasis will be given to selected topics and to the related computational tools. The authors hope their effort to provide a unified view of geometric control theory may be profitable to awake renewed interest in this research field.
منابع مشابه
Supervisory Control Using Computationally Eecient Linear Techniques: a Tutorial Introduction Interdisciplinary Studies of Intelligent Systems Supervisory Control Using Computationally Eecient Linear Techniques: a Tutorial Introduction
This paper provides an overview of a computationally eecient method for synthesizing supervisory controllers for discrete event systems (DES). The DES plant and controller are described by Petri nets which provide a useful linear algebraic model for both control analysis and synthesis. It is shown how a set of linear constraints on the plant's behavior can be enforced, accounting for possibly u...
متن کاملEstimation in High Dimensions: a Geometric Perspective
This tutorial provides an exposition of a flexible geometric framework for high dimensional estimation problems with constraints. The tutorial develops geometric intuition about high dimensional sets, justifies it with some results of asymptotic convex geometry, and demonstrates connections between geometric results and estimation problems. The theory is illustrated with applications to sparse ...
متن کاملTutorial Review: Simulation of Oscillating Chemical Reactions Using Microsoft Excel Macros
Oscillating reactions are one of the most interesting topics in chemistry and analytical chemistry. Fluctuations in concentrations of one the reacting species (usually a reaction intermediate) create an oscillating chemical reaction. In oscillating systems, the reaction is far from thermodynamic equilibrium. In these systems, at least one autocatalytic step is required. Developing an instinctiv...
متن کاملA Tutorial on Geometric Control Theory
This tutorial consists of three parts: 1. Basic concepts, 2. Basic results, 3. Steering with piecewise constant inputs. The goal is to present only the necessary minimum to understand part 3, which describes a constructive procedure for steering affine drift-free systems using piecewise constant inputs. All technical details will be omitted. The reader is referred to the literature at the end f...
متن کاملA Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes
The first geometric-arithmetic index was introduced in the chemical theory as the summation of 2 du dv /(du dv ) overall edges of the graph, where du stand for the degree of the vertex u. In this paper we give the expressions for computing the first geometric-arithmetic index of hexagonal systems and phenylenes and present new method for describing hexagonal system by corresponding a simple g...
متن کامل