Linearization by input-output injections on homogeneous time scales

Monika Ciulkin ； Vadim Kaparinb ； Ulle Kotta ； Ewa Pawłuszewicz

《Proceedings of the Estonian Academy of Sciences》 63卷4期 (2014/12) Pp. 387-397

https://doi.org/10.3176/proc.2014.4.04

並列摘要

The problem of linearization by input-output (i/o) injections is addressed for nonlinear single-input single-output systems, defined on a homogeneous time scale. The paper provides conditions for the existence of a state transformation, bringing state equations into the observer form, which is linear up to some nonlinear input- and output-dependent functions, called i/o injections. These conditions are based on differential one-forms, associated with the i/o equation of the system.

並列關鍵字

nonlinear control system ； time scale ； observer form ； differential one-forms