Linear quadratic optimal control for discrete descriptor systems
type: Item
instance of: scholarly article
title: Linear quadratic optimal control for discrete descriptor systems
zbMATH Open document ID: 0644.93034
DOI: 10.1007/BF00962798
author: B. George
published in: Journal of Optimization Theory and Applications
publication date: 1989-01-01T00:00:00Z
review text: The present paper deals with the investigation of the linear quadratic optimal control problem for discrete-time descriptor systems \(Ex_{k+1}=Ax_ k+Bu_ k\), where E is in general a singular matrix and the system structure is in general noncausal. The problem is considered in its general form, having singular cost matre paper. The spetral property of the systems (1) associated with \(\alpha\) \(\in [1/2,1]\) is discussed and some new results are proved for the analytic property and exponential stability of the semigroup associated with the systems (1). The obtained results have many advantages in engineering applications.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 34A99
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4051455
zbMATH Keywords: linear quadratic optimal control
zbMATH Keywords: discrete-time descriptor systems
zbMATH Keywords: Weierstrass theorem for regular pencils
zbMATH Keywords: permutation transformation
reviewed by: István Ecsedi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4051455