TY - GEN
T1 - Finite-time input-to-state stability and applications to finite-time control
AU - Hong, Yiguang
AU - Jiang, Zhong Ping
AU - Feng, Gang
N1 - Funding Information:
★ This work has been supported in part by the NNSF of China under Grants 60425307, 60628302, 60736022, and 60221301, in part by the U.S. NSF under Grants ECS-0093176, OISE-0408925 and DMS-0504462, and in part by a grant from the Research Grants Council of the Hong Kong SAR, China [Project No. CityU 1353/04E].
Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2008
Y1 - 2008
N2 - This paper extends the well-known concept, input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), along with related concepts such as finite-time input-output stability and finite-time small-gain theorems, is discussed, and then is applied to both the finite-time stability analysis and the finite-time stabilizing feedback design. With finite-time convergence, non-smoothness has to be considered, which poses serious technical challenges in the analysis and synthesis of closed-loop finite-time systems. It is found that FTISS plays a key role in the study of finite-time stability and stabilization of nonlinear systems.
AB - This paper extends the well-known concept, input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), along with related concepts such as finite-time input-output stability and finite-time small-gain theorems, is discussed, and then is applied to both the finite-time stability analysis and the finite-time stabilizing feedback design. With finite-time convergence, non-smoothness has to be considered, which poses serious technical challenges in the analysis and synthesis of closed-loop finite-time systems. It is found that FTISS plays a key role in the study of finite-time stability and stabilization of nonlinear systems.
KW - Lyapunov methods
KW - Nonlinear system control
KW - Stability of NL systems
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U2 - 10.3182/20080706-5-KR-1001.0718
DO - 10.3182/20080706-5-KR-1001.0718
M3 - Conference contribution
AN - SCOPUS:79961017994
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -