Control theory for linear systems
By Harry L. Trentelman, Anton A. Stoorvogel, M. Hautus. 2002
738 citations recorded by the source corpus.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/6dac2af84f68d31b6f0075237a99adda50e7e734
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
- W. M. Heemels
- M. Kanat Camlibel
- Fabio Pasqualetti
- Francesco Bullo
- Peter Benner
- Paul van den Bosch
- Antonio Bicchi
- Volker Mehrmann
Citations in the corpus
- Consensus Computation in Unreliable Networks: A System Theoretic Approach (2010, background): “ e i kDA1 = e kD1, so that D1 is the eigenvector associated with the eigenvalue ei k. Observe that the vector D1 has no zero component. The system (A;B K;C j) is detectable by the eigenvector tests [21]. Indeed, since Ais irreducible, the neighbor set N j is nonempty, and therefore the eigenvectors ”
- Mathematical Systems Theory I (2006, background): “For readers who desire to study only linear systems theory—perish the thought that this class is nonempty!—the book [9] is a nicely written introductory text, whose first few chapters could also provide constructive preparation for MST-I.”
- High-Order Sliding-Mode Observation of Linear Systems with Unknown Inputs (2008, neutral): “It is obvious that rank [ J⊥ J⊥⊥ ] = n.”
- Analysis of event-driven controllers for linear systems (2008, background): “(see exercise 3.20 in Trentelman et al. (2001) for a detailed discussion and conditions on Ts that guarantee that Hurwitz stabilizability of (Ac,Bc) transfers into Schur stabilizability of its discretized version (A,B)).”
- Data Informativity: A New Perspective on Data-Driven Analysis and Control (2019, methodology): “RecalltheHautustest[45,Th.3.13]forcontrollability—a system ( A, B ) is controllable if and only if for all λ ∈ C .”
- A robust numerical method for the γ-iteration in H∞ control (2007, background): “The optimal innite-horizon output (or measurement) feedback H1 control problem is one of the central tasks in robust control, see, e.g., [28, 40, 50 , 54].”