TY - JOUR
T1 - Quasi-integral-input-to-state stability for switched nonlinear systems
AU - Russo, A.
AU - Liu, S.
AU - Liberzon, D.
AU - Cavallo, A.
N1 - Funding Information:
The work of A.Russo and A.Cavallo was supported by Clean-Sky2 grant Programme: H2020-CS2-CFP06-2017-01 JTI-CS2-2017-CFP06-REG-01-10 Proposal: 785416 ENIGMA 2 The work of S.Liu and D.Liberzon was supported by the NSF grant CMMI-1662708 and the AFOSR grant FA9550-17-1-0236
Publisher Copyright:
Copyright © 2020 The Authors.
PY - 2020
Y1 - 2020
N2 - In this paper we introduce and give sufficient conditions for the quasi-iISS property for switched nonlinear systems under dwell-time switching signals. Unlike previous works, our dwell-time bound does not rely on the knowledge of the state but it relies only on the system initial condition and the bound on the input energy. We prove, through a counterexample, that knowledge of the system initial state and bound on input energy is necessary for the estimation of a dwell-time that guarantees quasi-iISS for the switched system. An illustrative example is also included.
AB - In this paper we introduce and give sufficient conditions for the quasi-iISS property for switched nonlinear systems under dwell-time switching signals. Unlike previous works, our dwell-time bound does not rely on the knowledge of the state but it relies only on the system initial condition and the bound on the input energy. We prove, through a counterexample, that knowledge of the system initial state and bound on input energy is necessary for the estimation of a dwell-time that guarantees quasi-iISS for the switched system. An illustrative example is also included.
KW - Input-to-state stability
KW - Lyapunov methods
KW - Stability of hybrid systems
KW - Stability of nonlinear systems
KW - Switching stability and control
UR - http://www.scopus.com/inward/record.url?scp=85099885123&partnerID=8YFLogxK
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U2 - 10.1016/j.ifacol.2020.12.2551
DO - 10.1016/j.ifacol.2020.12.2551
M3 - Conference article
AN - SCOPUS:85099885123
SN - 2405-8963
VL - 53
SP - 1992
EP - 1997
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
T2 - 21st IFAC World Congress 2020
Y2 - 12 July 2020 through 17 July 2020
ER -