Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques
Theoretical analysis and control results for the Fitzhugh-Nagumo equation.
Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal.
Théorie géométrique de la Représentation Markovienne
Theory and computation of disturbance invariant sets for discrete-time linear systems.
Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.
Three-parametric robot manipulators with parallel rotational axes
The paper deals with asymptotic motions of 3-parametric robot manipulators with parallel rotational axes. To describe them we use the theory of Lie groups and Lie algebras. An example of such motions are motions with the zero Coriolis accelerations. We will show that there are asymptotic motions with nonzero Coriolis accelerations. We introduce the notions of the Klein subspace, the Coriolis subspace and show their relation to asymptotic motions of robot manipulators. The asymptotic motions are...
Tikhonov regularization and constrained quadratic programming for magnetic coil design problems
Time change of objects and problem of their identification
Time delays in proliferation and apoptosis for solid avascular tumour
The role of time delays in solid avascular tumour growth is considered. The model is formulated in terms of a reaction-diffusion equation and mass conservation law. Two main processes are taken into account-proliferation and apoptosis. We introduce time delay first in underlying apoptosis only and then in both processes. In the absence of necrosis the model reduces to one ordinary differential equation with one discrete delay which describes the changes of tumour radius. Basic properties of the...
Time domain simulation of a target tracking system with backlash compensation.
Time minimal control of batch reactors
Time minimal control of batch reactors
In this article we consider a control system modelling a batch reactor in which three species X1, X2, X3 are reacting according to the scheme X1 → X2 → X3, each reaction being irreversible. The control is the temperature T of the reactions or the derivative of this temperature with respect to time. The terminal constraint is to obtain a given concentration of the product X2 at the end of the batch. The objective of our study is to introduce and to apply all the mathematical tools to compute the...
Time optimal control of a second order nonlinear plant
Time optimal control problem for differential inclusions
Timed Petri-net based formulation and an algorithm for the optimal scheduling of batch plants
The effective scheduling of operations in batch plants has a great potential for high economic returns, in which the formulation and an optimal solution algorithm are the main issues of study. Petri nets have proven to be a promising technique for solving many difficult problems associated with the modelling, formal analysis, design and coordination control of discrete-event systems. One of the major advantages of using a Petri-net model is that the same model can be used for the analysis of behavioural...
Time-dependent vector stabilization.
Time-discretization for controlled Markov processes. I. General approximation results
Time-discretization for controlled Markov processes. II. A jump and diffusion application
Time-domain and parametric -properties corresponding to Popov inequality
For Popov’s frequency-domain inequality a general solution is constructed in , which relies on the strict positive realness of a generating function. This solution allows revealing time-domain properties, equivalent to the fulfilment of Popov’s inequality in the frequency-domain. Particular aspects occurring in the dynamics of the linear subsystem involved in Popov’s inequality are further explored for step response, as representing a usual characterization in control system analysis. It is also...