### Abstract

This paper investigates controllability of a class of bimodal linear time invariant (LTI) systems pointing to the relevant structures of the problem. It is shown that for a certain class controllability is equivalent with controllability of an open-loop switching system using nonnegative controls, i.e., to the controllability of a constrained open-loop switching system. The paper gives some algebraic conditions that guarantees global controllability for this class of systems. It is shown that if the system is globally controllable then the number of necessary switchings to control the system is bounded. It is also shown that global controllability implies stabilizability for this class of systems.

Original language | English |
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Title of host publication | 2007 European Control Conference, ECC 2007 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 3289-3294 |

Number of pages | 6 |

ISBN (Print) | 9783952417386 |

Publication status | Published - Mar 25 2015 |

Event | 2007 9th European Control Conference, ECC 2007 - Kos, Greece Duration: Jul 2 2007 → Jul 5 2007 |

### Other

Other | 2007 9th European Control Conference, ECC 2007 |
---|---|

Country | Greece |

City | Kos |

Period | 7/2/07 → 7/5/07 |

### Fingerprint

### Keywords

- bang-bang control
- bimodal systems
- controllability
- stabilizability

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*2007 European Control Conference, ECC 2007*(pp. 3289-3294). [7068329] Institute of Electrical and Electronics Engineers Inc..

**On controllability and stabilizability of some bimodal LTI systems.** / Bokor, J.; Szabó, Z.; Balas, Gary.

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

*2007 European Control Conference, ECC 2007.*, 7068329, Institute of Electrical and Electronics Engineers Inc., pp. 3289-3294, 2007 9th European Control Conference, ECC 2007, Kos, Greece, 7/2/07.

}

TY - GEN

T1 - On controllability and stabilizability of some bimodal LTI systems

AU - Bokor, J.

AU - Szabó, Z.

AU - Balas, Gary

PY - 2015/3/25

Y1 - 2015/3/25

N2 - This paper investigates controllability of a class of bimodal linear time invariant (LTI) systems pointing to the relevant structures of the problem. It is shown that for a certain class controllability is equivalent with controllability of an open-loop switching system using nonnegative controls, i.e., to the controllability of a constrained open-loop switching system. The paper gives some algebraic conditions that guarantees global controllability for this class of systems. It is shown that if the system is globally controllable then the number of necessary switchings to control the system is bounded. It is also shown that global controllability implies stabilizability for this class of systems.

AB - This paper investigates controllability of a class of bimodal linear time invariant (LTI) systems pointing to the relevant structures of the problem. It is shown that for a certain class controllability is equivalent with controllability of an open-loop switching system using nonnegative controls, i.e., to the controllability of a constrained open-loop switching system. The paper gives some algebraic conditions that guarantees global controllability for this class of systems. It is shown that if the system is globally controllable then the number of necessary switchings to control the system is bounded. It is also shown that global controllability implies stabilizability for this class of systems.

KW - bang-bang control

KW - bimodal systems

KW - controllability

KW - stabilizability

UR - http://www.scopus.com/inward/record.url?scp=84927725778&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84927725778&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9783952417386

SP - 3289

EP - 3294

BT - 2007 European Control Conference, ECC 2007

PB - Institute of Electrical and Electronics Engineers Inc.

ER -