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- Rajeev Alur, T. A. Henzinger, Gerardo Lafferriere, George J. Pappas
- Proceedings of the IEEE
- 2000

A hybrid system is a dynamical system with both discrete and continuous state changes. For analysis purposes, it is often useful to abstract a system in a way that preserves the properties being analysed while hiding the details that are of no interest. We show that interesting classes of hybrid systems can be abstracted to purely discrete systems whileâ€¦ (More)

A uni ed approach to decidability questions for veri cation algorithms of hybrid systems is obtained by the construction of a bisimulation. Bisimulations are nite state quotients whose reachability properties are equivalent to those of the original in nite state hybrid system. In this paper, we introduce the notion of o-minimal hybrid systems, which areâ€¦ (More)

- Gerardo Lafferriere, Alan Williams, John S. Caughman IV, J. J. P. Veerman
- Systems & Control Letters
- 2005

This paper investigates a method for decentralized stabilization of vehicle formations using techniques from algebraic graph theory. The vehicles exchange information according to a pre-specified communication digraph, G. A feedback control is designed using relative information between a vehicle and its in-neighbors in G. We prove that a necessary andâ€¦ (More)

- Gerardo Lafferriere, George J. Pappas, Sergio Yovine
- HSCC
- 1999

One of the most important analysis problems of hybrid systems is the reachability problem. State of the art computational tools perform reachability computation for timed automata, multirate automata, and rectangular automata. In this paper, we extend the decidability frontier for classes of linear hybrid systems, which are introduced as hybrid systems withâ€¦ (More)

- George J. Pappas, Gerardo Lafferriere, S. Shankar Sastry
- IEEE Trans. Automat. Contr.
- 2000

Large-scale control systems typically possess a hierarchical architecture in order to manage complexity. Higher levels of the hierarchy utilize coarser models of the system, resulting from aggregating the detailed lower level models. In this layered control paradigm, the notion of hierarchical consistency is important, as it ensures the implementation ofâ€¦ (More)

- Gerardo Lafferriere, George J. Pappas, Sergio Yovine
- J. Symb. Comput.
- 2001

Symbolic Reachability Computation for Families of Linear Vector Fields Gerardo Lafferriere Department of Mathematical Sciences Portland State University, P.O. Box 751, Portland, OR 97207-0751. gerardo@mth.pdx.edu George J. Pappas Department of Electrical Engineering University of Pennsylvania, 200 South 33rd Street, Philadelphia, PA 19104.â€¦ (More)

One of the most important analysis problems of hybrid systems is the reacha-bility problem. State of the art computational tools perform reachability computation for timed automata, multirate automata, and rectangular automata. In this paper, we extend the decidability frontier for classes of linear hybrid systems, which are introduced as hybrid systemsâ€¦ (More)

- Gerardo Lafferriere, John S. Caughman, A. Williams
- Proceedings of the 2004 American Controlâ€¦
- 2004

This paper investigates the stabilization of vehicle formations using techniques from algebraic graph theory. The vehicles exchange information according to a pre-specified (undirected) communication graph, G. The feedback control is based only on relative information about vehicle states shared via the communication links. We prove that a linearâ€¦ (More)

- A. Williams, Gerardo Lafferriere, J. J. P. Veerman
- Proceedings of the 44th IEEE Conference onâ€¦
- 2005

We investigate stable maneuvers for a group of autonomous vehicles while moving in formation. The allowed decentralized feeback laws are factored through the Laplacian matrix of the communication graph. We show that such laws allow for stable circular or elliptical motions for certain vehicle dynamics. We find necessary and sufficient conditions on theâ€¦ (More)

HOLCF is an interactive theorem proving system that uses the mathematics of domain theory to reason about programs written in functional programming languages. This thesis introduces HOLCF â€™11, a thoroughly revised and extended version of HOLCF that advances the state of the art in program verification: HOLCF â€™11 can reason about many program definitionsâ€¦ (More)