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Stability of Large-Scale Systems under Structural Perturbations

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1 Author(s)

A large-scale system is considered as a system constituted of subsystems which may be connected or disconnected from each other during operation. A new concept of connective stability is introduced by which a large-scale system is regarded as stable if it remains stable (in the sense of Lyapunov) under structural perturbations produced by the on-off participation of the subsystems. Algebraic conditions are developed that guarantee exponential connective stability of large-scale systems which may be composed of linear and nonlinear time-varying subsystems coupled by linear or nonlinear connections.

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-2 ,  Issue: 5 )