The suggested methods for solving fault diagnosis and estimation problems are based on the use of Jordan canonical form. diagnostic observer, virtual sensor, interval, sliding mode observer design considered. Algorithms have been developed to solve these both linear nonlinear systems, considering presence external disturbances measurement noise. It has shown that form allows reducing dimensions...

This paper aims to study a class of neutral differential equations higher-order in canonical form. By using the comparison technique, we obtain sufficient conditions ensure that studied are oscillatory. The criteria obtained improve and extend some results previous literature. In addition, an example is given shows applicability obtained.

In the triplectic quantization of general gauge theories, we prove a ‘triplectic’ analogue of the Darboux theorem: we show that the doublet of compatible antibrackets can be brought to a weakly-canonical form provided the general triplectic axioms of [2] are imposed together with some additional requirements that can be formulated in terms of marked functions of the antibrackets. The weakly-can...