Switching in Systems and Control

(Autor)

Buch | Hardcover
233 Seiten
2003
Birkhauser Boston Inc (Verlag)
978-0-8176-4297-6 (ISBN)

Lese- und Medienproben

Switching in Systems and Control - Daniel Liberzon
90,94 inkl. MwSt
l/lany systems encountered in practice involve a coupling between contin­ uous dynamics and discrete events. 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.
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.

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.

Reihe/Serie Systems & Control: Foundations & Applications
Zusatzinfo XIII, 233 p.
Verlagsort Secaucus
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie
Technik Elektrotechnik / Energietechnik
ISBN-10 0-8176-4297-8 / 0817642978
ISBN-13 978-0-8176-4297-6 / 9780817642976
Zustand Neuware
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