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- Lou Caccetta, Ventsi G. Rumchev
- Annals OR
- 2000

The main focus of the paper is on the asymptotic behaviour of linear discrete-time positive systems. Emphasis is on highlighting the relationship between asymptotic stability and the structure of the system, and to expose the relationship between null-controllability and asymptotic stability. Results are presented for both time-invariant and time-variant… (More)

- D. J. Glyn James, Snezhana P. Kostova, Ventsi G. Rumchev
- Int. J. Systems Science
- 2001

- Lou Caccetta, Les R. Foulds, Ventsi G. Rumchev
- Mathematical and Computer Modelling
- 2004

-One of the most important concepts in production planning is that of the establishment of an overall or aggregate production plan. In this paper, the problem of establishing an aggregate production plan for a manufacturing plant is considered. A new dynamic discrete-time model of capacity planning utilizing concepts arising in positive linear systems (PLS)… (More)

Positive systems are defined as systems in which the state trajectory is always positive (or at least non-negative) whenever the initial state is positive (nonnegative). Positive linear systems are defined on cones and not on linear spaces and that is why the reachability and controllability tests for linear systems prove to be false. In this paper… (More)

In this paper necessary and sufficient conditions (and criteria) for null-controllability, reachability and controllability of time-variant discrete-time positive linear systems are established. These properties appear to be entirely structural properties, that is, they do depend on the zero-nonzero pattern of the pair (A(k), B(k)) ≥ 0 and do not depend on… (More)

- Ventsi G. Rumchev
- POSTA
- 2003

Consider the following problem. Given a discrete-time linear system, find, if possible, linear state-feedback control laws such that under these laws all trajectories originating in the non-negative orthant of the state space remain non-negative while asymptotically deteriorating to the origin. This problem is called feedback stabilizability-holdability… (More)

A weighted version of the –out–of– system is considered. In the disjoint products version of reliability analysis of weighted– –out–of– systems, it is necessary to determine the order in which the weight of components is to be considered. The –out–of– :G(F) system consists of components; each component has its own probability and positive integer weight… (More)

- D. J. Glyn James, Ventsi G. Rumchev
- Artificial Life and Robotics
- 2006

This paper reports recent results in controllability theory for a class of positive linear discrete-time systems which were employed to examine and analyse the reachability and controllability properties of cohort-type population models representing the dynamics of autonomous intelligent robot communities.