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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 2 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
14 years 2 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
14 years 2 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
14 years 2 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
14 years 2 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
14 years 2 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
14 years 2 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
14 years 2 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 ...