Title :
Optimal scalar Lyapunov functions for decentralised stabilisation of interconnected systems
Author :
Soliman, Hisham M. ; Fleming, R.J.
Author_Institution :
Cairo University, Electrical Engineering Department, Giza, Egypt
Abstract :
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.
Keywords :
Lyapunov methods; feedback; linear systems; optimal control; stability; aggregation; decentralised stabilisation; interconnected systems; linear systems; local state feedback; optimal stability condition; scalar Lyapunov functions;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19820680
