Additional signals in linear discrete-time control systems. I. Additional control signal
Additional signals in linear discrete-time control systems. III. Additional disturbance feedforward
Additionals signals in linear discrete-time control systems. II. Additional feedback signal
Admissible disturbance sets for discrete perturbed systems
We consider a discrete disturbed system given by the difference bilinear equation where are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function. Let be a tolerance index on the output. The disturbance is said to be -admissible if, where is the output signal associated with the case of an uninfected system. The set of all -admissible disturbances is the admissible set. The characterization of is investigated and numerical...
Algebraic approach to discrete stochastic control
Algebraic methods in discrete linear estimation
Algebraic theory of discrete optimal control for single-variable systems. I. Preliminaries
Algebraic theory of discrete optimal control for single-variable systems. II. Open-loop control
Algebraic theory of discrete optimal control for single-variable systems. III. Closed-Loop Control
Almost sure tracking for linear discrete-time periodic systems with independent random perturbations.
Alternative polynomial equation approach to LQ discrete-time feedback control
Alternative polynomial equation approach to LQ discrete-time open-loop control
An optimal sliding mode congestion controller for connection-oriented communication networks with lossy links
A new discrete-time sliding-mode congestion controller for connection-oriented networks is proposed. Packet losses which may occur during the transmission process are explicitly taken into account. Two control laws are presented, each obtained by minimizing a different cost functional. The first one concentrates on the output variable, whereas in the second one the whole state vector is considered. Weighting factors for adjusting the influence of the control signal and appropriate (state or output)...
An optimality system for finite average Markov decision chains under risk-aversion
This work concerns controlled Markov chains with finite state space and compact action sets. The decision maker is risk-averse with constant risk-sensitivity, and the performance of a control policy is measured by the long-run average cost criterion. Under standard continuity-compactness conditions, it is shown that the (possibly non-constant) optimal value function is characterized by a system of optimality equations which allows to obtain an optimal stationary policy. Also, it is shown that the...
An optimality-equation for discrete stochastic decision problems with general sets of admissible strategies
An SQP trust region method for solving the discrete-time linear quadratic control problem
In this paper, a sequential quadratic programming method combined with a trust region globalization strategy is analyzed and studied for solving a certain nonlinear constrained optimization problem with matrix variables. The optimization problem is derived from the infinite-horizon linear quadratic control problem for discrete-time systems when a complete set of state variables is not available. Moreover, a parametrization approach is introduced that does not require starting a feasible solution...
An upper bound of the reachability index for a special class of positive 2-D systems.
Analyse de systèmes min-max
Analysis of some dual properties in discrete dynamic systems
The problem of duality in nonlinear and linear systems is considered. In addition to the known duality between controllability and observability, new dual notions and their properties are investigated. A way to refine these properties through an isomorphic transformation of the original systems is suggested.
Analysis of the descriptor Roesser model with the use of the Drazin inverse
A method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and column operations and on the application of a Drazin inverse of matrices to handle the model. The method is illustrated with a numerical example.