Equivalence and Reduction of Delay-Differential Systems
نویسندگان
چکیده
منابع مشابه
Equivalence and Reduction of Delay-Differential Systems
A new direct method is presented which reduces a given high-order representation of a control system with delays to a firstorder form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann’s strict system ...
متن کاملSystem Equivalence for AR-Systems over Rings - with an Application to Delay-Differential Systems
In this paper the notion of autoregressive systems over an integral domain R is introduced, as a generalization of AR-systems over the rings Rs] and Rs;s ?1 ]. Unlike the behavioral approach, the signal space is considered as a module M over the ring R. In this setup the problem of system equivalence is studied: when do two diierent AR-representations characterize the same behavior? This proble...
متن کاملStability and stabilization of delay differential systems
AIrstract-The delay systems considered here are represented by linear delay differential equations. The system parameters and the delays are assumed to be imperfectly known. The instantaneous state vector is perturbed by a bounded external disturbance vector. The problem addressed is that of characterizing conditions that guarantee that the trajectory of the instantaneous state vector remains i...
متن کاملDimensional reduction of nonlinear time delay systems
Whenever there is a time delay in a dynamical system, the study of stability becomes an infinite-dimensional problem. The centre manifold theorem, together with the classical Hopf bifurcation, is the most valuable approach for simplifying the infinite-dimensional problem without the assumption of small time delay. This dimensional reduction is illustrated in this paper with the delay versions o...
متن کاملReduction and Equivalence of Nonlinear Distributed Symmetric Control Systems
This paper considers the ‘reduction’ problem for large-scale distributed control systems. In particular, we consider control-theoretic concepts for control systems containing multiple instances of identical controllers or components where the overall system is invariant with respect to interchanging these identical components. The main results are invariance of controllability, motion planning ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Applied Mathematics and Computer Science
سال: 2007
ISSN: 1641-876X
DOI: 10.2478/v10006-007-0002-7