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» Symmetries and Dynamics of Discrete Systems
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AAAI
1998
14 years 9 days ago
An Ontology for Transitions in Physical Dynamic Systems
Physical systemsoften exhibit complexnonlinear behaviors in continuoustime at multiple temporaland spatial scales. Abstractionssimplify behavioralanalysis and help focus on domina...
Pieter J. Mosterman, Feng Zhao, Gautam Biswas
MOC
2002
127views more  MOC 2002»
13 years 10 months ago
The dynamical behavior of the discontinuous Galerkin method and related difference schemes
We study the dynamical behavior of the discontinuous Galerkin finite element method for initial value problems in ordinary differential equations. We make two different assumptions...
Donald J. Estep, Andrew M. Stuart
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 11 months ago
Discrete Partitioning and Coverage Control for Gossiping Robots
We propose distributed algorithms to automatically deploy a group of mobile robots to partition and provide coverage of a non-convex environment. To handle arbitrary nonconvex envi...
Joseph W. Durham, Ruggero Carli, Paolo Frasca, Fra...
HYBRID
2007
Springer
14 years 2 months ago
A Hybrid Bellman Equation for Bimodal Systems
Abstract. In this paper we present a dynamic programming formulation of a hybrid optimal control problem for bimodal systems with regional dynamics. In particular, based on optimal...
Peter E. Caines, Magnus Egerstedt, Roland P. Malha...
HYBRID
2007
Springer
14 years 5 months ago
Robust, Optimal Predictive Control of Jump Markov Linear Systems Using Particles
Hybrid discrete-continuous models, such as Jump Markov Linear Systems, are convenient tools for representing many real-world systems; in the case of fault detection, discrete jumps...
Lars Blackmore, Askar Bektassov, Masahiro Ono, Bri...