Name: On the Stabilization of Linear Systems
Creator: C. E. Langenhop
Keywords: ordinary differential equations, 4. Education, 7. Clean energy

On the stabilization of linear systems

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Oct 1964Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 15, page 735 (issn: 0002-9939,

Authors: C. E. Langenhop;

doi: 10.2307/2034589 , 10.1090/s0002-9939-1964-0168408-8

On the Stabilization of Linear Systems

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Abstract

be "stabilizable." Here A is an n by n matrix, x and b are n by 1 column matrices (or vectors), p is a 1 by n row matrix and q and u are scalars. We shall assume that the elements of all these may be complex numbers. The vector x can be interpreted physically as the output of a linear system characterized by the matrix A. The vector b corresponds to some feedback or control mechanism with u the controlling signal and p and q adjustable parameters in the controlling circuit. Romanenko calls the system (A, b) stabilizable if for any nonempty set S of n+1 or less complex numbers there exist p and q such that

Keywords

ordinary differential equations

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