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We study a hybrid control system in which both discrete and continuous controls are involved. The discrete controls act on the system at a given set interface. The state of the system is changed discontinuously when the trajectory hits predefined sets, namely, an autonomous jump
set A or a controlled jump set C where controller can choose to jump or not. At each jump, trajectory can move to a different Euclidean space.
We allow the cost functionals to be unbounded with certain growth and hence...
An introduction to the worst scenario method is given. We start with an example and a general abstract scheme. An analysis of the method both on the continuous and approximate levels is discussed. We show a possible incorporation of the method into the fuzzy set theory. Finally, we present a survey of applications published during the last decade.
This paper discusses how uncertainty models of vision-based positioning sensors can be used to support the planning and optimization of positioning actions for mobile robots. Two sensor types are considered: a global vision with overhead cameras, and an on-board camera observing artificial landmarks. The developed sensor models are applied to optimize robot positioning actions in a distributed system of mobile robots and monitoring sensors, and to plan the sequence of actions for a robot cooperating...
Cet article introduit une nouvelle transformation des réseaux de Petri généralisés appelée l’abstraction généralisée. C’est une réduction dont nous montrons qu’elle conserve les invariants du réseau de départ et les propriétés structurelles les plus importantes. Une fonction de transformation de marquages nous permet d’introduire l’étude de la conservation des propriétés comportementales.
Cet article introduit une nouvelle transformation des réseaux de Petri
généralisés appelée l'abstraction généralisée. C'est une
réduction dont nous montrons qu'elle conserve les invariants du réseau de
départ et les propriétés structurelles les plus importantes. Une fonction
de transformation de marquages nous permet d'introduire l'étude de la
conservation des propriétés comportementales.
This article considers the linear 1-d Schrödinger equation in (0,π)
perturbed by a vanishing viscosity term depending on a small parameter
ε > 0. We study the boundary controllability properties of this
perturbed equation and the behavior of its boundary controls
vε as ε goes to zero. It
is shown that, for any time T sufficiently large but independent of
ε and for each initial datum in
H−1(0,π), there exists a uniformly...
This article considers the linear 1-d Schrödinger equation in (0,π)
perturbed by a vanishing viscosity term depending on a small parameter
ε > 0. We study the boundary controllability properties of this
perturbed equation and the behavior of its boundary controls
vε as ε goes to zero. It
is shown that, for any time T sufficiently large but independent of
ε and for each initial datum in
H−1(0,π), there exists a uniformly...
We study the uniform stabilization problem for the Euler-Bernoulli equation defined on a smooth bounded domain of any dimension with feedback dissipative operators in various boundary conditions.
In this paper we study the exponential and uniform exponential stability problem for linear discrete time-varying systems with independent stochastic perturbations. We give two representations of the solutions of the discussed systems and we use them to obtain necessary and sufficient conditions for the two types of stability. A deterministic characterization of the uniform exponential stability, in terms of Lyapunov equations are given.
The paper examines similarities between observer design as introduced in Automatic Control Theory and filter design as established in Signal Processing. It is shown in the paper that there are obvious connections between them in spite of different aims for their design. Therefore, it is prospective to make them be compatible from the structural point of view. Introduced error invariance and error convergence properties of both of them are unifying tools for their design. Lyapunov's stability theory,...
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