Generic eigenvalue assignment for generalized linear first order systems using memoryless real output feedback

Joachim Rosenthal; J. M. Schumacher; Xiaochang Alex Wang; Jan C. Willems

Generic eigenvalue assignment for generalized linear first order systems using memoryless real output feedback

Joachim Rosenthal, J. M. Schumacher, Xiaochang Alex Wang, Jan C. Willems

Mathematics and Statistics

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

We show in this paper that arbitrary pole assignment by memoryless feedback is generically possible in the class of generalized first order system of a fixed McMillan degree n as soon as n is strictly less than the input number times the output number. Our result generalizes results by the authors covering the situation when the set of plants consists of strictly proper transfer functions only.

Original language	English
Pages (from-to)	492-497
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
State	Published - 1995
Event	Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: Dec 13 1995 → Dec 15 1995

Cite this

@article{8c8865c7e7154caeacabae151ce363cb,

title = "Generic eigenvalue assignment for generalized linear first order systems using memoryless real output feedback",

abstract = "We show in this paper that arbitrary pole assignment by memoryless feedback is generically possible in the class of generalized first order system of a fixed McMillan degree n as soon as n is strictly less than the input number times the output number. Our result generalizes results by the authors covering the situation when the set of plants consists of strictly proper transfer functions only.",

author = "Joachim Rosenthal and Schumacher, {J. M.} and Wang, {Xiaochang Alex} and Willems, {Jan C.}",

year = "1995",

language = "English",

volume = "1",

pages = "492--497",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

note = "null ; Conference date: 13-12-1995 Through 15-12-1995",

}

TY - JOUR

T1 - Generic eigenvalue assignment for generalized linear first order systems using memoryless real output feedback

AU - Rosenthal, Joachim

AU - Schumacher, J. M.

AU - Wang, Xiaochang Alex

AU - Willems, Jan C.

PY - 1995

Y1 - 1995

N2 - We show in this paper that arbitrary pole assignment by memoryless feedback is generically possible in the class of generalized first order system of a fixed McMillan degree n as soon as n is strictly less than the input number times the output number. Our result generalizes results by the authors covering the situation when the set of plants consists of strictly proper transfer functions only.

AB - We show in this paper that arbitrary pole assignment by memoryless feedback is generically possible in the class of generalized first order system of a fixed McMillan degree n as soon as n is strictly less than the input number times the output number. Our result generalizes results by the authors covering the situation when the set of plants consists of strictly proper transfer functions only.

UR - http://www.scopus.com/inward/record.url?scp=0029529385&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0029529385

VL - 1

SP - 492

EP - 497

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

Y2 - 13 December 1995 through 15 December 1995

ER -

Generic eigenvalue assignment for generalized linear first order systems using memoryless real output feedback

Abstract

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