Almost-passivity and simple adaptive control of non-stationary continuous linear systems

What is it about?

Recently it was shown for continuous and discrete-time stationary linear systems that the output stabilizability property of systems can be used to realize 'almost positive-real' configurations that may facilitate the implementation of simple, stable, adaptive, and other non-linear controllers. This paper attempts to extend these concepts to time-varying linear systems. It is shown that systems that can he stabilized via static or dynamic output feedback become 'almost-passive' via some corresponding parallel feedforward. The proof of the robust stability of simple adaptive control of non-stationary almost-passive systems is also presented.

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