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Semistability, Finite-Time Stability, Differential Inclusions, and Discontinuous Dynamical Systems Having a Continuum of Equilibria

DSpace at IIT Bombay

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Title Semistability, Finite-Time Stability, Differential Inclusions, and Discontinuous Dynamical Systems Having a Continuum of Equilibria
 
Creator HUI, Q
HADDAD, WM
BHAT, SP
 
Subject switching topology
consensus problems
lyapunov tests
convergence
invariance
networks
differential inclusions
discontinuous systems
filippov solutions
finite-time stability
semistability
 
Description This paper focuses on semistability and finite-time semistability for discontinuous dynamical systems having a continuum of equilibria. Semistability is the property whereby the solutions of a dynamical system converge to Lyapunov stable equilibrium points determined by the system initial conditions. In this paper, we extend the theory of semistability to discontinuous autonomous dynamical systems. In particular, Lyapunov-based tests for sernistability and finite-time semistability for autonomous differential inclusions are established.
 
Publisher IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
 
Date 2011-08-01T15:38:31Z
2011-12-26T12:53:25Z
2011-12-27T05:38:38Z
2011-08-01T15:38:31Z
2011-12-26T12:53:25Z
2011-12-27T05:38:38Z
2009
 
Type Article
 
Identifier IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 54(10), 2465-2470
0018-9286
http://dx.doi.org/10.1109/TAC.2009.2029397
http://dspace.library.iitb.ac.in/xmlui/handle/10054/8473
http://hdl.handle.net/10054/8473
 
Language en