Departmental Papers (ESE)


The control of complex systems poses new challenges that fall beyond the traditional methods of control theory. One of these challenges is given by the need to control, coordinate and synchronize the operation of several interacting submodules within a system. The desired objectives are no longer captured by usual control specifications such as stabilization or output regulation. Instead, we consider specifications given by linear temporal logic (LTL) formulas. We show that existence of controllers for discrete-time controllable linear systems and LTL specifications can be decided and that such controllers can be effectively computed. The closed-loop system is of hybrid nature, combining the original continuous dynamics with the automatically synthesized switching logic required to enforce the specification.

Document Type

Conference Paper

Subject Area


Date of this Version

December 2006


Copyright 2006 IEEE. Reprinted from IEEE Transactions on Automatic Control, Volume 51, Issue 12, pages 1862-1877.

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automatic synthesis, discrete-time, linear control systems, hybrid systems, linear time logic



Date Posted: 14 March 2007

This document has been peer reviewed.