Switching in Systems and Control

2003
ISBN: 978-0-8176-4297-6
Verlag: Birkhäuser Boston

Buch, Englisch, 233 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1160 g

Reihe: Systems & Control: Foundations & Applications

l\lany systems encountered in practice involve a coupling between contin­ uous dynamics and discrete events. Systems in which these two kinds of dynamics coexist and interact are usually called hybrid. For example, the following phenomena give rise to hybrid behavior: a valve or a power switch opening and closing; a thermostat turning the heat on and off; biological cells growing and dividing; a server switching between buffers in a queueing network; aircraft entering, crossing, and leaving an air traffic control region; dynamics of a car changing abruptly due to wheels locking and unlocking on ice. Hybrid systems constitute a relatively new and very active area of current research. They present interesting theoretical challenges and are important in many real-world problems. Due to its inherently interdisci­ plinary nature, the field has attracted the attention of people with diverse backgrounds, primarily computer scientists, applied mathematicians, and engineers. Researchers with a background and interest in continuous-time systems and control theory are concerned primarily with properties of the contin­ uous dynamics, such as Lyapunov stability. A detailed investigation of the discrete behavior, on the other hand, is usually not a goal in itself. In fact, rather than dealing with specifics of the discrete dynamics, it is often use­ ful to describe and analyze a more general category of systems which is known to contain a particular model of interest.

Zielgruppe

Research

Autoren/Hrsg.

Liberzon, Daniel

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

I Introduction.- 1 Basic Concepts.- II Stability of Switched Systems.- 2 Stability under Arbitrary Switching.- 3 Stability under Constrained Switching.- III Switching Control.- 4 Systems Not Stabilizable by Continuous Feedback.- 5 Systems with Sensor or Actuator Constraints.- 6 Systems with Large Modeling Uncertainty.- IV Supplementary Material.- A Stability.- A.1 Stability definitions.- A.3 Lyapunov’s direct (second) method.- A.4 LaSalle’s invariance principle.- A.5 Lyapunov’s indirect (first) method.- A.6 Input-to-state stability.- B Lie Algebras.- B.1 Lie algebras and their representations.- B.3 Nilpotent and solvable Lie algebras.- B.4 Semisimple and compact Lie algebras.- Notes and References.- Notation.