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» Input-to-state dynamical stability of interconnected systems
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CDC
2009
IEEE
139views Control Systems» more  CDC 2009»
14 years 7 days ago
Input-to-state dynamical stability of interconnected systems
Abstract— We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov for...
Sergey Dashkovskiy, Lars Naujok
AUTOMATICA
2008
146views more  AUTOMATICA 2008»
13 years 7 months ago
Input-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...
W. P. M. H. Heemels, Siep Weiland
SCL
2010
124views more  SCL 2010»
13 years 6 months ago
ISDS small-gain theorem and construction of ISDS Lyapunov functions for interconnected systems
We consider networks of input-to-state dynamically stable (ISDS) systems and use a small-gain condition to assure the ISDS property for their interconnection. Under this small-gai...
Sergey Dashkovskiy, Lars Naujok
AUTOMATICA
2006
118views more  AUTOMATICA 2006»
13 years 7 months ago
Diagonal stability of a class of cyclic systems and its connection with the secant criterion
We consider a class of systems with a cyclic interconnection structure that arises, among other examples, in dynamic models for certain biochemical reactions. We first show that a...
Murat Arcak, Eduardo D. Sontag
CDC
2009
IEEE
149views Control Systems» more  CDC 2009»
14 years 7 days ago
Stability and robustness conditions using frequency dependent half planes
— This paper presents a sufficient condition that establishes closed loop stability for linear time invariant dynamical systems with transfer functions that are analytic in the ...
Krister Jacobsson, Lachlan L. H. Andrew, Ao Tang