A tutorial on the positive realization problem

By Luca Benvenuti, Lorenzo Farina. IEEE Transactions on Automatic Control, 2004

351 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/902045e64139ee364facad8854a82eee7dac0d9b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Peng Shi
2. James Lam
3. Lixian Zhang
4. Xudong Zhao
5. Chuangyin Dang
6. Tadeusz Kaczorek
7. Ping Li
8. Xingwen Liu

In Control and Systems Engineering

1. Peng Shi
2. James Lam
3. Lixian Zhang
4. Z. Xiang
5. Xudong Zhao
6. Ming Liu
7. Shilong Liu
8. Xingwen Liu

In Molecular Biology

1. Lixian Zhang
2. Tadeusz Kaczorek
3. James Lam
4. Ping Li

Citations in the corpus

• Stability of a class of switched positive linear time‐delay systems (2013, background): “INTRODUCTION In the past decade, positive systems have drawn considerable interest because of their numerous applications in areas such as economics, biology, communications, and so on [1,7,11].”
• Exponential L1 output tracking control for positive switched linear systems with time-varying delays (2014, background): “These systems can be modeled as positive systems [1–5].”
• Stability of switched positive linear systems with average dwell time switching (2012, background): “In particular, positive linear systems have drawn considerable interest due to their numerous applications in the areas such as economics, biology, communications, etc. (Benvenuti & Farina, 2004; Kaczorek, 2002; Rami, 2011).”
• Stability Analysis of Positive Switched Linear Systems With Delays (2011, background): “Positive systems have numerous applications in areas such as economics, biology, sociology and communications [16], [17], [30].”
• Realization Problem for Positive 2D hybrid systems (2007, background): “The realization problem for positive discrete-time and continuous-time systems without and with delays was considered in Benvenuti and Farina (2004)”
• Computation of realizations of discrete-time cone-systems (2006, methodology): “Realizations problem of positive linear systems without timedelays has been considered in many papers and books [1,2,5].”
• Positive state‐bounding observer for positive interval continuous‐time systems with time delay (2012, background): “The problem of positive realization has been extensively studied in the past few decades [9, 10], and a good tutorial can be found in [7].”