An invariance principle for nonlinear hybrid and impulsive dynamical systems
DSpace at IIT Bombay
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Title |
An invariance principle for nonlinear hybrid and impulsive dynamical systems
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Creator |
CHELLABOINA, VIJAYSEKHAR
BHAT, SP HADDAD, WASSIM M |
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Subject |
lyapunov methods
system stability theorem proving invariance |
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Description |
In this paper we develop an invariance principle for dynamical systems possessing left-continuous flows. Specifically, we show that left-continuity of the system trajectories in time for each fixed state point and continuity of the system trajectory in the state for every time in some dense subset of the semi-infinite interval are sufficient for establishing an invariance principle for hybrid and impulsive dynamical systems. As a special case of this result we state and prove new invariant set stability theorems for a class of nonlinear impulsive dynamical systems; namely, state-dependent impulsive dynamical systems. These results provide less conservative stability conditions for impulsive systems as compared to classical results in the literature and allow us to address the stability of limit cycles and periodic orbits of impulsive systems.
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Publisher |
Elsevier
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Date |
2009-02-21T11:33:47Z
2011-11-25T17:25:29Z 2011-12-26T13:05:56Z 2011-12-27T05:53:50Z 2009-02-21T11:33:47Z 2011-11-25T17:25:29Z 2011-12-26T13:05:56Z 2011-12-27T05:53:50Z 2003 |
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Type |
Article
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Identifier |
Nonlinear Analysis 53(3-4), 527-550
0362-546X http://dx.doi.org/10.1016/S0362-546X(02)00316-4 http://hdl.handle.net/10054/742 http://dspace.library.iitb.ac.in/xmlui/handle/10054/742 |
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Language |
en
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