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Optimal scalar Lyapunov functions for decentralised stabilisation of interconnected systems

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2 Author(s)
Soliman, H.M. ; Cairo University, Electrical Engineering Department, Giza, Egypt ; Fleming, R.J.

The problem of stabilisation of interconnected linear systems is considered by means of scalar Lyapunov functions and aggregation. A sufficient condition is given for an interconnected system to be stabilised using only local state feedback. The aim is to provide the least restrictive condition possible, which is termed `optimal¿, by properly choosing the state-variable weighting matrices for each subsystem.

Published in:

Electronics Letters  (Volume:18 ,  Issue: 23 )