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HYBRID
2007
Springer
11 years 10 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
11 years 10 months ago
Qualitative Analysis of Nonlinear Biochemical Networks with Piecewise-Affine Functions
Abstract. Nonlinearities and the lack of accurate quantitative information considerably hamper modeling and system analysis of biochemical networks. Here we propose a procedure for...
M. W. J. M. Musters, Hidde de Jong, P. P. J. van d...
HYBRID
2007
Springer
11 years 10 months ago
Solving Coverage Problems with Embedded Graph Grammars
We show how Embedded Graph Grammars (EGGs) are used to specify local interaction rules between mobile robots in a natural manner. This formalism allows us to treat local network to...
John-Michael McNew, Eric Klavins, Magnus Egerstedt
HYBRID
2007
Springer
11 years 10 months ago
Piecewise Constant Feedback Control of Piecewise Affine Gene Network Models
Abstract. The use of hybrid dynamical systems to model gene regulation is impelled by the switch-like behaviour of the latter. Piecewise affine differential equations is one of the...
Etienne Farcot, Jean-Luc Gouzé
HYBRID
2007
Springer
11 years 10 months ago
MARCO: A Reachability Algorithm for Multi-affine Systems with Applications to Biological Systems
We present a new algorithm for the reachability analysis of multi-affine hybrid systems. In our previous work on reachability analysis and that of our collaborators [1
Spring Berman, Ádám M. Halász...
HYBRID
2007
Springer
11 years 10 months ago
Diagnosability Verification for Hybrid Automata
A notion of diagnosability for hybrid systems is defined, which generalizes the notion of observability. We verify bility properties on a timed automaton abstraction of the origina...
Maria Domenica Di Benedetto, Stefano Di Gennaro, A...
HYBRID
2007
Springer
11 years 10 months ago
Distributed Hybrid Control for Multiple-Pursuer Multiple-Evader Games
Multiple-pursuer multiple-evader games raise fundamental and novel problems in control theory and robotics. In this paper, we propose a distributed solution to this problem that si...
Michael M. Zavlanos, George J. Pappas
HYBRID
2007
Springer
11 years 10 months ago
On Self-triggered Full-Information H-Infinity Controllers
Abstract. A self-triggered control task is one in which the task determines its next release time. It has been conjectured that self-triggering can relax the requirements on a real...
Michael D. Lemmon, Thidapat Chantem, Xiaobo Sharon...
HYBRID
2007
Springer
11 years 10 months ago
Viability-Based Computations of Solutions to the Hamilton-Jacobi-Bellman Equation
Abstract. This article proposes a new capture basin algorithm for computing the numerical solution of a class of Hamilton-Jacobi-Bellman (HJB) partial differential equations (PDEs)...
Alexandre M. Bayen, Christian G. Claudel, Patrick ...
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