Journal Article•
A classification of linear controllable systems
01 Jan 1970-Kybernetika (Institute of Information Theory and Automation AS CR)-Vol. 6, Iss: 3, pp 173-188
About: This article is published in Kybernetika.The article was published on 1970-01-01 and is currently open access. It has received 540 citations till now. The article focuses on the topics: Control theory.
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TL;DR: In this paper, a brief historical review of linear singular systems is presented, followed by a survey of results on their solution and properties, and the frequency domain and time domain approaches are discussed together to sketch an overall picture of the current status of the theory.
Abstract: This paper is a brief historical review of linear singular systems, followed by a survey of results on their solution and properties. The frequency domain and time domain approaches are discussed together to sketch an overall picture of the current status of the theory.
1,315 citations
Book•
01 Jan 1992TL;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.
Abstract: Introduction to systems general properties of linear systems the geometric approach - analysis, synthesis, robustness optimality.
633 citations
01 Dec 1975
TL;DR: In this article, a characterization of all closed loop eigenvector sets which can be obtained with a given set of distinct closed-loop eigenvalues using state feedback is given.
Abstract: A characterization is given for the class of all closed loop eigenvector sets which can be obtained with a given set of distinct closed loop eigenvalues using state feedback. It is shown, furthermore, that the freedom one has in addition to specifying the closed loop eigenvalues is precisely this: to choose one set of closed loop eigenvectors from this class. Included in the proof of this result is an algorithm for computing the matrix of feedback gains which gives the chosen closed loop eigenvalues and eigenvectors. A design scheme based on these results is presented which gives the designer considerable freedom to choose the distribution of the modes among the output components. One interesting feature is that the distribution of a mode among the output components can be varied even if the mode is not controllable.
583 citations
TL;DR: In this paper, a state observer is proposed for nonlinear continuous time systems which extends the well known Luenberger observer, and on the basis of simple assumptions on the regularity of the system equations, which are generally satisfied for physically meaningful dynamic systems, the global asymptotic convergence of the estimated state towards the true state is shown.
Abstract: A state observer is proposed for nonlinear continuous time systems which extends the well known Luenberger observer. In particular, on the basis of simple assumptions on the regularity of the system equations (observability and the global Holder condition for suitable functions), which are generally satisfied for physically meaningful dynamic systems, the global asymptotic convergence of the estimated state towards the true state is shown. Finally, some examples of applications are also reported showing the effectiveness of the proposed observer.
525 citations
01 Jan 1983
TL;DR: The use of feedback (full state, output, and constrained output) is considered as a means of shaping the transient response of linear time invariant systems.
Abstract: The use of feedback (full state, output, and constrained output) is considered as a means of shaping the transient response of linear time invariant systems. The underlying importance of the eigenstructure (eigenvalues/eigenvectors) is highlighted. Also, the important results and techniques are presented along with a brief literature review. An extensive flight control example is presented which should give direction to the application of eigenstructure assignment in diverse areas.
490 citations