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Hybrid adaptive and impulsive synchronisation of uncertain complex dynamical networks by the generalised Barbalat's lemma

Hybrid adaptive and impulsive synchronisation of uncertain complex dynamical networks by the generalised Barbalat's lemma

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Robust local and global hybrid adaptive and impulsive synchronisation for a class of uncertain complex dynamical networks are investigated in this study, respectively. For the complex dynamical network with unknown but bounded non-linear couplings, with unknown bounds, hybrid adaptive and impulsive controllers are designed based on adaptive control theory and impulsive control theory. By the generalised Barbalat's lemma, the uncertain complex dynamical network is proved to be locally or globally asymptotically synchronised. Several robust local and global hybrid adaptive and impulsive synchronisation criteria are also established. Two numerical examples are given to demonstrate the effectiveness of the proposed controller design methods.

Inspec keywords: time-varying systems; large-scale systems; adaptive control; synchronisation; control system synthesis; uncertain systems

Other keywords: uncertain complex dynamical network; impulsive control theory; hybrid impulsive controller; impulsive synchronisation criteria; controller design method; asymptotic synchronisation; adaptive control theory; adaptive synchronisation criteria; hybrid adaptive controller; generalised Barbalat lemma

Subjects: Self-adjusting control systems; Time-varying control systems; Multivariable control systems; Control system analysis and synthesis methods

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