On Functional Controllability, Output Controllability and the Generalized Separation Principle

Junwei Cao; Bin Zhou

doi:10.1109/FASTA70174.2026.11549246

On Functional Controllability, Output Controllability and the Generalized Separation Principle

Junwei Cao
, Bin Zhou

School of Astronautics

Harbin Institute of Technology
National Key Laboratory of Complex System Control and Intelligent Agent Cooperation

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

Abstract

Functional controllability, as a newly proposed concept, is closely related to output controllability. This paper first explores the relationship between functional controllability and output controllability. Next, new criteria for output controllability of a class of special systems are introduced. Moreover, a geometric characterization of the existence conditions for target output controllers in the generalized principle is presented. This provides new insights into both the construction and the existence of the augmented matrix. Finally, numerical examples are provided to illustrate the construction of the augmented matrix.

Original language	English
Title of host publication	Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	450-454
Number of pages	5
ISBN (Electronic)	9798319547323
DOIs	https://doi.org/10.1109/FASTA70174.2026.11549246
State	Published - 2026
Event	5th Conference on Fully Actuated System Theory and Applications, FASTA 2026 - Qinhuangdao, China Duration: 22 May 2026 → 24 May 2026

Publication series

Name	Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026

Conference

Conference	5th Conference on Fully Actuated System Theory and Applications, FASTA 2026
Country/Territory	China
City	Qinhuangdao
Period	22/05/26 → 24/05/26

Keywords

functional controllability
generalized separation principle
Output controllability

Access to Document

10.1109/FASTA70174.2026.11549246

Cite this

Cao, J., & Zhou, B. (2026). On Functional Controllability, Output Controllability and the Generalized Separation Principle. In Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026 (pp. 450-454). (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FASTA70174.2026.11549246

Cao, Junwei ; Zhou, Bin. / On Functional Controllability, Output Controllability and the Generalized Separation Principle. Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Institute of Electrical and Electronics Engineers Inc., 2026. pp. 450-454 (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026).

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title = "On Functional Controllability, Output Controllability and the Generalized Separation Principle",

abstract = "Functional controllability, as a newly proposed concept, is closely related to output controllability. This paper first explores the relationship between functional controllability and output controllability. Next, new criteria for output controllability of a class of special systems are introduced. Moreover, a geometric characterization of the existence conditions for target output controllers in the generalized principle is presented. This provides new insights into both the construction and the existence of the augmented matrix. Finally, numerical examples are provided to illustrate the construction of the augmented matrix.",

keywords = "functional controllability, generalized separation principle, Output controllability",

author = "Junwei Cao and Bin Zhou",

note = "Publisher Copyright: {\textcopyright} 2026 IEEE.; 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026 ; Conference date: 22-05-2026 Through 24-05-2026",

year = "2026",

doi = "10.1109/FASTA70174.2026.11549246",

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series = "Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026",

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Cao, J & Zhou, B 2026, On Functional Controllability, Output Controllability and the Generalized Separation Principle. in Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026, Institute of Electrical and Electronics Engineers Inc., pp. 450-454, 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026, Qinhuangdao, China, 22/05/26. https://doi.org/10.1109/FASTA70174.2026.11549246

On Functional Controllability, Output Controllability and the Generalized Separation Principle. / Cao, Junwei; Zhou, Bin.
Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Institute of Electrical and Electronics Engineers Inc., 2026. p. 450-454 (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026).

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

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N2 - Functional controllability, as a newly proposed concept, is closely related to output controllability. This paper first explores the relationship between functional controllability and output controllability. Next, new criteria for output controllability of a class of special systems are introduced. Moreover, a geometric characterization of the existence conditions for target output controllers in the generalized principle is presented. This provides new insights into both the construction and the existence of the augmented matrix. Finally, numerical examples are provided to illustrate the construction of the augmented matrix.

AB - Functional controllability, as a newly proposed concept, is closely related to output controllability. This paper first explores the relationship between functional controllability and output controllability. Next, new criteria for output controllability of a class of special systems are introduced. Moreover, a geometric characterization of the existence conditions for target output controllers in the generalized principle is presented. This provides new insights into both the construction and the existence of the augmented matrix. Finally, numerical examples are provided to illustrate the construction of the augmented matrix.

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KW - generalized separation principle

KW - Output controllability

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BT - Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026

Y2 - 22 May 2026 through 24 May 2026

ER -

Cao J, Zhou B. On Functional Controllability, Output Controllability and the Generalized Separation Principle. In Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Institute of Electrical and Electronics Engineers Inc. 2026. p. 450-454. (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026). doi: 10.1109/FASTA70174.2026.11549246

On Functional Controllability, Output Controllability and the Generalized Separation Principle

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