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DAM
2007
79views more  DAM 2007»
9 years 3 months ago
Necessary conditions for multistationarity in discrete dynamical systems
R. Thomas conjectured, twenty years ago, that the presence of a positive circuit in the interaction graph of a dynamical system is a necessary condition for the presence of severa...
Adrien Richard, Jean-Paul Comet
ISCAS
2005
IEEE
111views Hardware» more  ISCAS 2005»
9 years 9 months ago
Necessary and sufficient conditions for LTI systems to preserve signal richness
There are many ways to define richness of a discrete time signal. In this paper we consider a particular definition and explore the conditions under which a linear time invarian...
Borching Su, P. P. Vaidyanathan
AUTOMATICA
2006
91views more  AUTOMATICA 2006»
9 years 3 months ago
Necessary and sufficient conditions for reachability on a simplex
In this paper we solve the general problem of designing a feedback controller to reach a set of facets of an n-dimensional simplex in finite time, for a system evolving with linea...
Bartek Roszak, Mireille E. Broucke
CDC
2008
IEEE
145views Control Systems» more  CDC 2008»
9 years 3 months ago
Necessary and sufficient conditions for success of the nuclear norm heuristic for rank minimization
Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in control theory, machine learning, and discrete geometry. This c...
Benjamin Recht, Weiyu Xu, Babak Hassibi
COOPIS
2004
IEEE
9 years 7 months ago
A Necessary Condition for Semantic Interoperability in the Large
With new standards like RDF or OWL paving the way for the much anticipated semantic web, a new breed of large scale semantic systems is about to appear. Even if research on semanti...
Philippe Cudré-Mauroux, Karl Aberer
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