The document discusses stable and unstable systems in control systems. It defines a stable system as one where the system response remains bounded for a bounded input. An unstable system is defined as one where the output diverges to infinity or becomes unbounded for a bounded input. Control system theory focuses on estimating the stability of systems as stability determines a system's applicability.

1. 15EE55C – DIGITAL SIGNAL PROCESSING AND ITS
APPLICATIONS
CLASSIFICATION OF SYSTEMS –
STABLE AND UNSTABLE SYSTEMS
Dr. M. Bakrutheen AP(SG)/EEE
Mr. K. Karthik Kumar AP/EEE
DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING
NATIONAL ENGINEERING COLLEGE, K.R. NAGAR, KOVILPATTI – 628 503
(An Autonomous Institution, Affiliated to Anna University – Chennai)

2. STABLE AND UNSTABLE SYSTEMS
 Most of the control system theory involves estimation of stability of
systems.
 Stability is an important parameter which determines its applicability.
 Stability of a system is formulated in bounded input bounded output
sense i.e. a system is stable if its response is bounded for a bounded
input (bounded means finite).
 An unstable system is one in which the output of the system is
unbounded for a bounded input.
 The response of an unstable system diverges to infinity.

3. STABLE AND UNSTABLE SYSTEMS

4. PROBLEMS