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ORL
2000
62views more  ORL 2000»
13 years 11 months ago
Projected dynamical systems in a complementarity formalism
Projected dynamical systems have been introduced by Dupuis and Nagurney as dynamic extensions of variational inequalities. In the systems and control literature, complementarity s...
W. P. M. H. Heemels, J. M. Schumacher, Siep Weilan...
IJCV
2007
208views more  IJCV 2007»
13 years 11 months ago
Binet-Cauchy Kernels on Dynamical Systems and its Application to the Analysis of Dynamic Scenes
We derive a family of kernels on dynamical systems by applying the Binet-Cauchy theorem to trajectories of states. Our derivation provides a unifying framework for all kernels on d...
S. V. N. Vishwanathan, Alexander J. Smola, Ren&eac...
JUCS
2008
134views more  JUCS 2008»
13 years 11 months ago
Computability of Topological Pressure for Sofic Shifts with Applications in Statistical Physics
: The topological pressure of dynamical systems theory is examined from a computability theoretic point of view. It is shown that for sofic shift dynamical systems, the topological...
Christoph Spandl
FUIN
2006
85views more  FUIN 2006»
13 years 11 months ago
Decidability and Universality in Symbolic Dynamical Systems
Many different definitions of computational universality for various types of dynamical systems have flourished since Turing's work. We propose a general definition of univers...
Jean-Charles Delvenne, Petr Kurka, Vincent D. Blon...
EOR
2006
123views more  EOR 2006»
13 years 11 months ago
Double-layered dynamics: A unified theory of projected dynamical systems and evolutionary variational inequalities
In this paper we continue the study of the unified dynamics resulting from the theory of projected dynamical systems and evolutionary variational inequalities, initiated by Cojocar...
Monica-Gabriela Cojocaru, Patrizia Daniele, Anna N...
IJBC
2008
98views more  IJBC 2008»
13 years 11 months ago
Slow Invariant Manifolds as Curvature of the Flow of Dynamical Systems
Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space it will be established in ...
Jean-Marc Ginoux, Bruno Rossetto, Leon O. Chua
IANDC
2008
139views more  IANDC 2008»
13 years 11 months ago
Computational complexity of dynamical systems: The case of cellular automata
Abstract. Cellular Automata can be considered discrete dynamical systems and at the same time a model of parallel computation. In this paper we investigate the connections between ...
Pietro di Lena, Luciano Margara
ENTCS
2008
68views more  ENTCS 2008»
13 years 11 months ago
The Reach-and-Evolve Algorithm for Reachability Analysis of Nonlinear Dynamical Systems
This paper introduces a new algorithm dedicated to the rigorous reachability analysis of nonlinear dynamical systems. The algorithm is initially presented in the context of discre...
Pieter Collins, Alexandre Goldsztejn
NIPS
2003
14 years 1 months ago
A Nonlinear Predictive State Representation
Predictive state representations (PSRs) use predictions of a set of tests to represent the state of controlled dynamical systems. One reason why this representation is exciting as...
Matthew R. Rudary, Satinder P. Singh
UAI
2004
14 years 1 months ago
Predictive State Representations: A New Theory for Modeling Dynamical Systems
Modeling dynamical systems, both for control purposes and to make predictions about their behavior, is ubiquitous in science and engineering. Predictive state representations (PSR...
Satinder P. Singh, Michael R. James, Matthew R. Ru...