Details
| Original language | English |
|---|---|
| Title of host publication | 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings |
| Publisher | IFAC Secretariat |
| Pages | 104-109 |
| Number of pages | 6 |
| ISBN (print) | 9783902823472 |
| Publication status | Published - 2013 |
| Externally published | Yes |
| Event | 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Toulouse, France Duration: 4 Sept 2013 → 6 Sept 2013 |
Publication series
| Name | IFAC Proceedings Volumes (IFAC-PapersOnline) |
|---|---|
| Number | PART 1 |
| Volume | 9 |
| ISSN (Print) | 1474-6670 |
Abstract
The purpose of this paper is to survey and discuss recent results on normcontrollability of nonlinear systems. This notion captures the responsiveness of a nonlinear system with respect to the applied inputs in terms of the norm of an output map, and can be regarded as a certain type of gain concept and/or a weaker notion of controllability. We state several Lyapunov-like sufficient conditions for this property in a simplified formulation, and illustrate the concept with several examples.
Keywords
- Controllability, Input-to-State Stability, Lyapunov Methods, Nonlinear Systems
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
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9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings. PART 1. ed. IFAC Secretariat, 2013. p. 104-109 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 9, No. PART 1).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Norm-controllability, or how a nonlinear system responds to large inputs
AU - Müller, Matthias A.
AU - Liberzon, Daniel
AU - Allgöwer, Frank
N1 - Funding Information: ⋆The work of the first and third author was supported by the German Research Foundation (DFG) within the Priority Programme 1305 “Control Theory of Digitally Networked Dynamical Systems” and within the Cluster of Excellence in Simulation Technology (EXC 310/1) at the University of Stuttgart. The work of the second author was supported by the NSF grants CNS-1217811 and ECCS-1231196, and by a National Research Foundation Grant funded by the Korean Government (NRF-2011-220-D00043).
PY - 2013
Y1 - 2013
N2 - The purpose of this paper is to survey and discuss recent results on normcontrollability of nonlinear systems. This notion captures the responsiveness of a nonlinear system with respect to the applied inputs in terms of the norm of an output map, and can be regarded as a certain type of gain concept and/or a weaker notion of controllability. We state several Lyapunov-like sufficient conditions for this property in a simplified formulation, and illustrate the concept with several examples.
AB - The purpose of this paper is to survey and discuss recent results on normcontrollability of nonlinear systems. This notion captures the responsiveness of a nonlinear system with respect to the applied inputs in terms of the norm of an output map, and can be regarded as a certain type of gain concept and/or a weaker notion of controllability. We state several Lyapunov-like sufficient conditions for this property in a simplified formulation, and illustrate the concept with several examples.
KW - Controllability
KW - Input-to-State Stability
KW - Lyapunov Methods
KW - Nonlinear Systems
UR - http://www.scopus.com/inward/record.url?scp=84885733803&partnerID=8YFLogxK
U2 - 10.3182/20130904-3-FR-2041.00052
DO - 10.3182/20130904-3-FR-2041.00052
M3 - Conference contribution
AN - SCOPUS:84885733803
SN - 9783902823472
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 104
EP - 109
BT - 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings
PB - IFAC Secretariat
T2 - 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013
Y2 - 4 September 2013 through 6 September 2013
ER -