[图书][B] Formal methods for discrete-time dynamical systems

C Belta, B Yordanov, EA Gol - 2017 - Springer
In control theory, complex models of physical processes, such as systems of differential or
difference equations, are usually checked against simple specifications, such as stability …

Temporal logic motion planning for dynamic robots

GE Fainekos, A Girard, H Kress-Gazit, GJ Pappas - Automatica, 2009 - Elsevier
In this paper, we address the temporal logic motion planning problem for mobile robots that
are modeled by second order dynamics. Temporal logic specifications can capture the usual …

Symbolic planning and control of robot motion [grand challenges of robotics]

C Belta, A Bicchi, M Egerstedt, E Frazzoli… - IEEE Robotics & …, 2007 - ieeexplore.ieee.org
In this paper, different research trends that use symbolic techniques for robot motion
planning and control are illustrated. As it often happens in new research areas, contributions …

Where's waldo? sensor-based temporal logic motion planning

H Kress-Gazit, GE Fainekos… - Proceedings 2007 IEEE …, 2007 - ieeexplore.ieee.org
Given a robot model and a class of admissible environments, this paper provides a
framework for automatically and verifiably composing controllers that satisfy high level task …

Temporal logic planning and control of robotic swarms by hierarchical abstractions

M Kloetzer, C Belta - IEEE Transactions on Robotics, 2007 - ieeexplore.ieee.org
We develop a hierarchical framework for planning and control of arbitrarily large groups
(swarms) of fully actuated robots with polyhedral velocity bounds moving in polygonal …

Robustness of temporal logic specifications

GE Fainekos, GJ Pappas - … Workshop on Formal Approaches to Software …, 2006 - Springer
In this paper, we consider the robust interpretation of metric temporal logic (MTL) formulas
over timed sequences of states. For systems whose states are equipped with nontrivial …

Controller synthesis for safety and reachability via approximate bisimulation

A Girard - Automatica, 2012 - Elsevier
In this paper, we consider the problem of controller design using approximately bisimilar
abstractions with an emphasis on safety and reachability specifications. We propose …

Valet parking without a valet

DC Conner, H Kress-Gazit, H Choset… - 2007 IEEE/RSJ …, 2007 - ieeexplore.ieee.org
What would it be like if we could give our robot high level commands and it would
automatically execute them in a verifiably correct fashion in dynamically changing …

Synthesis for constrained nonlinear systems using hybridization and robust controllers on simplices

A Girard, S Martin - IEEE Transactions on Automatic Control, 2011 - ieeexplore.ieee.org
In this technical note, we propose an approach to controller synthesis for a class of
constrained nonlinear systems. It is based on the use of a hybridization, that is a hybrid …

Dealing with nondeterminism in symbolic control

M Kloetzer, C Belta - … Workshop on Hybrid Systems: Computation and …, 2008 - Springer
Abstractions (also called symbolic models) are simple descriptions of continuous and hybrid
systems that can be used in analysis and control. They are usually constructed in the form of …