6

STABILITY AND ROUTH–HURWITZ CRITERION

6.1 Introduction

A system is said to be stable if it does not exhibit large changes in its output for a small change in its input, initial conditions or its system parameters. In a stable system, the output is predictable and finite for a given input. The definition of stability depends on the type of system. Generally, the stability of a system is classified as stable, unstable and marginally stable.

A linear time-invariant system is said to be stable if the output remains bounded when the system is excited by a bounded input. This is called the Bounded-Input Bounded-Output (BIBO) stability criterion. Further,

  1. When there is no input, the system should produce a zero output irrespective of initial conditions. ...

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