On the order reduction of optimal control systems
On the parametric solution to the second-order Sylvester matrix equation .
On the perturbations in a time-optimal closed-loop system
On the phase portrait of the fast filtering algorithms
On the Phase Portrait of the Fast Filtering Algorithms
Fast filtering algorithms arising from linear filtering and estimation are nonlinear dynamical systems whose initial values are the statistics of the observation process. In this paper, we give a fairly complete description of the phase portrait for such nonlinear dynamical systems, as well as a special type of naturally related matrix Riccati equation.
On the ``Poincaré-Lyapunov”-like systems of three differential equations
On the pole placement problem for linear systems of arbitrary genus.
On the positioning problem of a microscopic particle trapped in optical tweezers.
On the problem in max algebra: every system of intervals is a spectrum
We consider the two-sided eigenproblem over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.
On the properties of reachability, observability, controllability, and constructibility of discrete-time positive time-invariant linear systems with aperiodic choice of the sampling instants.
On the properties of solutions to the Goursat--Darboux problem with boundary and distributed controls.
On the properties of the Aumann integral with applications to differential inclusions and control systems
On the quadratic optimal control problem for Volterra integro-differential equations
On the reachable sets of non-autonomous linear control systems
On the realization theory of polynomial matrices and the algebraic structure of pure generalized state space systems
We review the realization theory of polynomial (transfer function) matrices via "pure" generalized state space system models. The concept of an irreducible-at-infinity generalized state space realization of a polynomial matrix is defined and the mechanism of the "cancellations" of "decoupling zeros at infinity" is closely examined. The difference between the concepts of irreducibility and minimality of generalized state space realizations of polynomial (transfer function) matrices is pointed out...
On the real-time emission control - case study application
On the regulator problem for a class of LTI systems with delays
This paper deals with the problem of tracking a reference signal while maintaining the stability of the closed loop system for linear time invariant systems with delays in the states. We show that conditions for the existence of a solution to this problem (the so-called regulation problem), similar to those known for the case of delay-free linear systems, may be given. We propose a solution for both the state and error feedback regulation.
On the relation of delay equations to first-order hyperbolic partial differential equations
This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of systems (among them converse Lyapunov results). The proposed framework can allow the study of discontinuous solutions for nonlinear systems described by a single first-order hyperbolic partial differential equation under the effect of measurable inputs acting on...
On the reliability of a renewable multiple cold standby system.
On the representation of 2-D systems