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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 3.2

Linearization of linearly controllable

systems

R. Devanathan

School of Electrical and Electronic Engineering (Block S1)

Nanyang Technological University

Singapore 639798

Republic of Singaporeedevan@ntu.edu.sg

1 DESCRIPTION OF THE PROBLEM

We consider a class of systems of the form

-1743747292

where, without loss of generality, F and G can be in Brunovsky form [2], superscript (2) corresponds to terms in x of degree greater than one, superscript (1) corresponds to terms in x of degree greater than or equal to one and x and -179507385are the transformed state ...

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