Some remarks on duality over a commutative ring
Mathematics and Computers in Simulation
Technical communique: Disturbance attenuation by dynamic output feedback for input-delay systems
Automatica (Journal of IFAC)
Robust invariance in uncertain discrete event systems with applications to transportation networks
ACC'09 Proceedings of the 2009 conference on American Control Conference
Sliding-mode control for tele-robotic neurosurgical system
International Journal of Robotics and Automation
Duality Between Invariant Spaces for Max-Plus Linear Discrete Event Systems
SIAM Journal on Control and Optimization
Regular paper: Model matching for linear systems with delays and 2D systems
Automatica (Journal of IFAC)
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
Brief Analysis of nonlinear time-delay systems using modules over non-commutative rings
Automatica (Journal of IFAC)
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Up to now the use of geometric methods in the study of disturbance decoupling problems (DDPs) for systems over a ring has provided only necessary conditions for the existence of solutions. In this paper we study such problems, considering separately the case in which only static feedback solutions are allowed, and the one in which dynamic feedback solutions are admitted. In the first case, we give a complete geometric characterization of the solvability conditions of such problems for injective systems with coefficients in a commutative ring. Practical procedures for testing the solvability conditions and for constructing solutions, if any exist, are given in the case of systems with coefficients in a principal ideal domain (PID). In the second case, we give a complete geometric characterization of the solvability conditions for systems with coefficients in a PID.