Switched Positive Linear Systems

Switched Positive Linear Systems

Positive systems are an important class of systems that frequently arise in application areas, such as in the chemical process industry, electronic circuit design, communication networks, and biology. The study of the stability of such systems differs from standard systems in that the analysis focuses only on the trajectories generated under positivity constraints. Switched positive systems also arise in a variety of applications. Examples can be found in TCP congestion control, in processes described by non-homogeneous Markov chains, in image processing, in biochemical networks, and so on. In comparison to general switched systems, that have received a lot of attention in the past years, the theory for positive switched systems is still in its infancy. Switched Positive Linear Systems studies the stability, performance evaluation, stabilization via switching control, and optimal control of (continuous-time and linear) positive switched systems. It provides a review of the results that have already been established in the literature. Other results, especially those related to norm computation and optimization, are new and are presented integrated with previous ones. Switched Positive Linear Systems provides a comprehensive and timely introduction to the study of such systems. Readers who are new to the topic will find everything required to understand such systems in a concise and accessible form.


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ISBN 9781680830712
Pages 173 pages
Switched Positive Linear Systems
Language: en
Pages: 173
Authors: Franco Blanchini
Categories: Linear control systems
Type: BOOK - Published: 2015 - Publisher:

Positive systems are an important class of systems that frequently arise in application areas, such as in the chemical process industry, electronic circuit desi
Positive Systems
Language: en
Pages: 333
Authors: James Lam
Categories: Technology & Engineering
Type: BOOK - Published: 2019-01-12 - Publisher: Springer

This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump sy
Fault Tolerant Control for Switched Linear Systems
Language: en
Pages: 180
Authors: Dongsheng Du
Categories: Technology & Engineering
Type: BOOK - Published: 2015-01-29 - Publisher: Springer

This book presents up-to-date research and novel methodologies on fault diagnosis and fault tolerant control for switched linear systems. It provides a unified
Preliminary Results on the Stability of Switched Positive Linear Systems
Language: en
Pages: 5
Authors:
Categories:
Type: BOOK - Published: 2004 - Publisher:

It was recently conjectured that the Hurwitz stability of a polytope of Metzler matrices is a necessary and sufficient condition for the stability of the associ
Switched Linear Systems
Language: en
Pages: 288
Authors: Zhendong Sun
Categories: Technology & Engineering
Type: BOOK - Published: 2006-03-30 - Publisher: Springer Science & Business Media

Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked
Positive Systems
Language: en
Pages: 398
Authors: Rafael Bru
Categories: Technology & Engineering
Type: BOOK - Published: 2009-09-30 - Publisher: Springer

This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain,
Positive Systems
Language: en
Pages: 252
Authors: Filippo Cacace
Categories: Technology & Engineering
Type: BOOK - Published: 2017-04-01 - Publisher: Springer

This book presents high-quality original contributions on positive systems, including topics such as: monotone dynamical systems in mathematical biology and gam
Analysis and Synthesis of Dynamic Systems with Positive Characteristics
Language: en
Pages: 123
Authors: Jun Shen
Categories: Technology & Engineering
Type: BOOK - Published: 2017-03-27 - Publisher: Springer

This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance pro
Event-Triggered Control of Switched Linear Systems
Language: en
Pages: 162
Authors: Jun Fu
Categories: Technology & Engineering
Type: BOOK - Published: 2021-04-12 - Publisher: Springer Nature

This book approaches its subject matter in a way that provides Lyapunov function analysis and event-triggered design methods for switched dynamic systems in ter
Analysis and Synthesis of Positive Systems Under l1 and L1 Performance
Language: en
Pages: 116
Authors: Xiaoming Chen
Categories: Technology & Engineering
Type: BOOK - Published: 2016-07-27 - Publisher: Springer

This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It descri