Null Controllability of Discrete-time Linear Systems with Input and State Constraints

W.P.M.H. Heemels; M.K. Camlibel

Null Controllability of Discrete-time Linear Systems with Input and State Constraints

W.P.M.H. Heemels
, M.K. Camlibel

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

15 Citations (Scopus)

382 Downloads (Pure)

Abstract

This paper presents necessary and sufficient conditions for null controllability of discrete-time linear systems subject to both input and state constraints. The classical results for linear systems without constraints by Kalman and Hautus and for linear systems with only input constraints by Evans, Nguyen and Sontag can be obtained from our main result as particular cases.

Original language	English
Title of host publication	Proc. of the 47th IEEE Conference on Decision and Control
Pages	3487-3492
Number of pages	6
Publication status	Published - 2008

Keywords

controllability
state constraints
linear systems

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title = "Null Controllability of Discrete-time Linear Systems with Input and State Constraints",

abstract = "This paper presents necessary and sufficient conditions for null controllability of discrete-time linear systems subject to both input and state constraints. The classical results for linear systems without constraints by Kalman and Hautus and for linear systems with only input constraints by Evans, Nguyen and Sontag can be obtained from our main result as particular cases.",

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author = "W.P.M.H. Heemels and M.K. Camlibel",

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AU - Heemels, W.P.M.H.

AU - Camlibel, M.K.

N1 - Relation: http://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2008

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N2 - This paper presents necessary and sufficient conditions for null controllability of discrete-time linear systems subject to both input and state constraints. The classical results for linear systems without constraints by Kalman and Hautus and for linear systems with only input constraints by Evans, Nguyen and Sontag can be obtained from our main result as particular cases.

AB - This paper presents necessary and sufficient conditions for null controllability of discrete-time linear systems subject to both input and state constraints. The classical results for linear systems without constraints by Kalman and Hautus and for linear systems with only input constraints by Evans, Nguyen and Sontag can be obtained from our main result as particular cases.

KW - controllability

KW - state constraints

KW - linear systems

M3 - Conference contribution

SP - 3487

EP - 3492

BT - Proc. of the 47th IEEE Conference on Decision and Control

ER -

Null Controllability of Discrete-time Linear Systems with Input and State Constraints

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Keywords

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