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Journal of Automation and Information Sciences

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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v49.i1.30
pages 27-40

The Problem of Forming the Structure of Eigenvectors of State Matrix of Continuous Stable System which Guarantees the Absence of Deviation of Its Trajectories from Monotonically Decreasing Curve of Free Motion

Nina A. Vunder
Saint Petersburg State University of Information Technologies, Mechanics and Optics, Saint Petersburg (Russia)
Anatoliy V. Ushakov
St. Petersburg State University of Information Technologies, Mechanics and Optics Russia

ABSTRACT

It is revealed that for ill-conditioned structure of eigenvectors there could be noticeable deviations of system trajectories from monotonically decreasing curve of free motion. The paper has obtained the solution of problem on forming the structure of eigenvectors of state matrix of continuous stable system which does not admit the system trajectories deviation from monotonically decreasing curve of free motion. The obtained solution uses the minimization procedure of condition number of matrices of these vectors as well as the possibility of a generalized modal control.