Journal ArticleDOI
Computing the maximum robust controlled invariant subspace
TLDR
In this article, an algorithm is presented to compute the maximum robust controlled invariant subspace contained in a given subspace, which is based on a special computational scheme to derive the intersection of a family of subspaces.About:
This article is published in Systems & Control Letters.The article was published on 1991-08-01. It has received 40 citations till now. The article focuses on the topics: Invariant subspace & Invariant subspace problem.read more
Citations
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Controlled and conditioned invariants in linear system theory
Giuseppe Basile,Giovanni Marro +1 more
TL;DR: In this paper, general properties of linear systems are discussed, and the geometric approach -analysis, synthesis, robustness optimality, and robustness optimization -are presented, respectively.
Journal ArticleDOI
Detection filter design for LPV systems-a geometric approach
József Bokor,Gary J. Balas +1 more
TL;DR: This paper investigates fault detection and isolation of linear parameter-varying (LPV) systems by using parameter- Variant subspace and parameter-Varying unobservability subspaces and the question of stability is addressed in the terms of Lyapunov quadratic stability by using linear matrix inequalities.
Journal ArticleDOI
Invariant subspaces for LPV systems and their applications
TL;DR: The aim of this paper is to extend the notion of invariant subspaces known in the geometric control theory of the linear time invariant systems to the linear parameter-varying (LPV) systems by introducing the concept of parameter-Varying invariantSubspaces.
Journal ArticleDOI
Detection filter design for lpv systems – a geometric approach
TL;DR: In this paper, the problem of fault detection and isolation in linear parameter varying (LPV) systems is investigated by using the concept of parameter varying invariant subspace and parameter varying unobservability subspace.
Journal ArticleDOI
Linear parameter varying systems: A geometric theory and applications
József Bokor,Gary J. Balas +1 more
TL;DR: In this article, a geometric view of LPV systems is presented and tools of invariant subspaces and algorithms for LPV system affine in the parameters are presented and proposed.
References
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Linear Multivariable Control: A Geometric Approach
TL;DR: In this article, the authors present an approach to controlability, feedback assignment, and pole shifting in a single linear functional model, where the observer is assumed to be a dynamic observer.
Journal ArticleDOI
Controlled and conditioned invariant subspaces in linear system theory
G. Basile,Giovanni Marro +1 more
TL;DR: In this paper, the concept of invariance of a subspace under a linear transformation is strongly connected with controllability and observability of linear dynamical systems, and the authors define controlled and conditioneded invariant subspaces as a generalization of the simple invariants, for the purpose of investigating some further structural properties of linear systems.
Journal ArticleDOI
On the robust controlled invariant
G. Basile,Giovanni Marro +1 more
TL;DR: The robust controlled invariant as mentioned in this paper is defined as a tool to characterize systems subject to parameter changes and to set up a geometric approach to robustness in the large in multi-variable control problems.