External Stability: Notions and Characterizations

Chapter 4 is devoted to the analysis of external global stability notions used in mathematical control and system theories. The presented stability notions are developed in the system-theoretic framework described in Chap. 1 so that one can obtain a wide perspective of the role of stability in various important classes of deterministic systems. The results in this chapter are of crucial importance from a practical point of view since almost all engineering and natural system are subject to external disturbance inputs, which may take differing forms as reference signals, actuator and sensor disturbances.

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