2016Unpublished venueRequires access

Recalculation of initial conditions for the observable canonical form of state-space representation

Maryna Garan, Iaroslav Kovalenko

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Abstract

This paper provides the technique for recalculation of initial conditions for state vector in observable canonical form of state-space representation for linear dynamical systems. Controversially to classical matrix-based approach, presented equations are less computationally demanding. Calculation approach is presented for continuous and discrete systems for both forms of canonical observable state-space representation presented in available literature.

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What this paper is about

This paper provides the technique for recalculation of initial conditions for state vector in observable canonical form of state-space representation for linear dynamical systems. Controversially to classical matrix-based approach, presented equations are less computationally demanding. Calculation approach is presented for continuous and discrete systems for both forms of canonical observable state-space representation presented in available literature.

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Available abstract

This paper provides the technique for recalculation of initial conditions for state vector in observable canonical form of state-space representation for linear dynamical systems. Controversially to classical matrix-based approach, presented equations are less computationally demanding. Calculation approach is presented for continuous and discrete systems for both forms of canonical observable state-space representation presented in available literature.

Key concepts: Observable, Canonical form, Representation (politics), State (computer science), State space, State vector, State-space representation, Mathematics

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