Equazioni differenziali ordinarie discontinue e stabilizzazione
Equilibrium points for a wave equation with boundary control containing an integral term. (Points d'équilibre pour une équation des ondes avec contrôle frontière contenant un terme intégral.)
Equilibrium stability of a servo actuating flight controls in a servoelastic framework.
Equitran: A computer program for analysis of a nondeterministic discrete dynamic system
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 first-order 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 equivalence. This type of system equivalence leaves the transfer function and other relevant structural...
Equivalence, invariance and dynamical system canonical modelling. II. Invariant properties of reachable models and associated transformations
Equivalence, invariance and dynamical system canonical modelling. I. Invariant properties of observable models and associated transformations
Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeomorphism to a linear system on a Lie group or a homogeneous space if and only if the vector fields of the system are complete and generate a finite dimensional Lie algebra. A vector field on a connected Lie group is linear if its flow is a one parameter group of automorphisms. An affine vector field is obtained by adding a left invariant one. Its projection on a homogeneous space, whenever it exists,...
Equivalence of multitime optimal control problems.
Equivalência de sistemas de gradiente
Equivalent cost functionals and stochastic linear quadratic optimal control problems
This paper is concerned with the stochastic linear quadratic optimal control problems (LQ problems, for short) for which the coefficients are allowed to be random and the cost functionals are allowed to have negative weights on the square of control variables. We propose a new method, the equivalent cost functional method, to deal with the LQ problems. Comparing to the classical methods, the new method is simple, flexible and non-abstract. The new method can also be applied to deal with nonlinear...
Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains
Two description forms of a linear fractional-order discrete system are considered. The first one is by a fractional-order difference equation, whereas the second by a fractional-order state-space equation. In relation to the two above-mentioned description forms, stability domains are evaluated. Several simulations of stable, marginally stable and unstable unit step responses of fractional-order systems due to different values of system parameters are presented.
Equivalent formulation and numerical analysis of a fire confinement problem
We consider a class of variational problems for differential inclusions, related to the control of wild fires. The area burned by the fire at time t> 0 is modelled as the reachable set for a differential inclusion ∈F(x), starting from an initial set R0. To block the fire, a barrier can be constructed progressively in time. For each t> 0, the portion of the wall constructed within time t is described by a rectifiable set γ(t) ⊂. In this paper we show that the search for blocking strategies...
Ergodic control of linear stochastic equations in a Hilbert space with fractional Brownian motion
A linear-quadratic control problem with an infinite time horizon for some infinite dimensional controlled stochastic differential equations driven by a fractional Brownian motion is formulated and solved. The feedback form of the optimal control and the optimal cost are given explicitly. The optimal control is the sum of the well known linear feedback control for the associated infinite dimensional deterministic linear-quadratic control problem and a suitable prediction of the adjoint optimal system...
Ergodic control of Markov processes with mixed observation structure [Book]
Ergodic control of partially observed Markov processes with equivalent transition probabilities
Optimal control with long run average cost functional of a partially observed Markov process is considered. Under the assumption that the transition probabilities are equivalent, the existence of the solution to the Bellman equation is shown, with the use of which optimal strategies are constructed.
Ergodic control problems on the whole Euclidean space and convergence of symmetric diffusions.
Errata: ``A simple mathematical model of the human liver''
Errata: “An approach for pole assignment by gain output feedback in square singular systems” [Kybernetika (Prague) 27 (1991), no. 4, 317-332]
Errata corrige: “The matching problem for behavioral systems”