General instability results for interconnected systems

David J. Hill; Peter J. Moylan

doi:10.1137/0321015

General instability results for interconnected systems

David J. Hill, Peter J. Moylan

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27 Citations (Scopus)

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 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.

Original language	English
Pages (from-to)	256-279
Number of pages	24
Journal	SIAM Journal on Control and Optimization
Volume	21
Issue number	2
DOIs	https://doi.org/10.1137/0321015
Publication status	Published - 1983
Externally published	Yes

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title = "General instability results for interconnected systems",

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 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.",

author = "Hill, {David J.} and Moylan, {Peter J.}",

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AU - Moylan, Peter J.

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AB - 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 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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JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

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General instability results for interconnected systems

Abstract

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