Abstract
General results giving conditions for an interconnected system to be input-output and/or Lyapunov unstable are considered. These results are derived in terms of the theory of dissipative systems. This enables a very simple formulation of the requirements for instability. In particular, the restrictions of linearity and unstable subsystems, that appear in previous results, are seen to be unnecessary. Consequently, the relationship between instability and stability conditions is made clearer. A wide variety of useful instability criteria can be easily obtained as special cases.
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