Switching in Systems and Control PDF

by Daniel Liberzon

Part of the Systems & Control: Foundations & Applications series

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Description

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.