Cells use a signal transduction mechanism to regulate certain metabolic pathways. In this paper, the regulatory mechanism is analyzed mathematically. For this analysis, a mathematical model for the pathways is first established using a system of differential equations. Then the linear stability, controllability, and observability of the system are investigated. We show that the linearized syste...

We investigate the exponential turnpike property for finite horizon undiscounted discrete time optimal control problems without any terminal constraints. Considering a class of strictly dissipative systems we derive a boundedness condition for an auxiliary optimal value function which implies the exponential turnpike property. Two theorems illustrate how this boundedness condition can be conclu...

In order to more effectively cope with the real world problems of vagueness, imprecise and subjectivity, fuzzy event systems were proposed recently. In this paper, we investigate the controllability and the observability property of two systems that one of them has fuzzy variables and the other one has fuzzy coefficients and fuzzy variables (fully fuzzy system). Also, sufficient conditions for ...

In this paper we consider the structural properties of the dynamics of robotic manipulation systems of a rather general class, including multiple cooperating, possibly whole-arm limbs, interacting with a manipulated object by means of contacts. A geometric approach t o the analysis of the linearized dynamics of such systems is presented, which provides much insight in some of their intrinsic ch...

We describe a hierarchical technique that allows a class of non-deterministic timed Petri nets to be analyzed using the (max,+) algebra of periodic signals. We show that the timing and controllability analysis of such systems is possible via the use of (supand) inf-convolution operations within the (max,+) framework. We apply this technique to the verification of timing constraints in an intell...

A novel approach to the Boolean mapping problem is presented. It relies on a Boolean matching algorithm based on testing techniques. The matching is detected by checking the controllability and observability of signals in the cell structure against the subject functions of the network. The method was implemented inside the SIS [Tou90] synthesis environment. The comparison with the SIS structura...

Controllability of multi-agent systems is determined by the interconnection topologies. In practice, losing agents can change the topologies of multi-agent systems, which may affect the controllability. This paper studies non-fragility of controllability influenced by losing agents. In virtue of the concept of cutsets, necessary and sufficient conditions are established from a graphic perspecti...

In this note we study two notions of controllability, called respectively radial controllability and directional controllability. They are both weakened versions of the classical notion of global controllability. We prove that for families of linear vector fields, the two notions are actually equivalent. © 2013 Elsevier B.V. All rights reserved.