On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays.
On modelling dynamic systems excited by the Dirac function
On obtaining the time-invariant associated system of a periodic system through system equivalence
On one algorithm for solving the problem of source function reconstruction
In the paper, the problem of source function reconstruction in a differential equation of the parabolic type is investigated. Using the semigroup representation of trajectories of dynamical systems, we build a finite-step iterative procedure for solving this problem. The algorithm originates from the theory of closed-loop control (the method of extremal shift). At every step of the algorithm, the sum of a quality criterion and a linear penalty term is minimized. This procedure is robust to perturbations...
On optimal control of systems with interface side conditions
On optimal observability of linear systems with infinite-dimensional states
On robust stability of neutral systems
This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems including some constant delays and time-varying cone-bounded nonlinearities. Sufficient stability conditions are derived by taking into account the weighting factors describing the nonlinearities. The proposed results are applied to the stability analysis of a class of lossless transmission line models.
On some nonconventional problem of a state filtration
On some relaxations commonly used in the study of linear systems
This note proposes a quite general mathematical proposition which can be a starting point to prove many well-known results encountered while studying the theory of linear systems through matrix inequalities, including the S-procedure, the projection lemma and few others. Moreover, the problem of robustness with respect to several parameter uncertainties is revisited owing to this new theorem, leading to LMI (Linear Matrix Inequality)-based conditions for robust stability or performance analysis...
On stable cones of polynomials via reduced Routh parameters
A problem of inner convex approximation of a stability domain for continuous-time linear systems is addressed in the paper. A constructive procedure for generating stable cones in the polynomial coefficient space is explained. The main idea is based on a construction of so-called Routh stable line segments (half-lines) starting from a given stable point. These lines (Routh rays) represent edges of the corresponding Routh subcones that form (possibly after truncation) a polyhedral (truncated) Routh...
On the bounded input-bounded output stability of a second-order linear difference equation
On the constrained controllability of dynamical systems with multiple delays in the state
Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllability with constrained controls for dynamical systems with delays in the state are established. Various types...
On the decoupling of one class of multivariable systems
On the derivation of a state-space model of a periodic process described by recurrent equations
On the equivalence conditions of two-stage and direct identification methods
On the extension of Rosenbrock's theory in algebraic design on multivariable controllers.
System similarity and system strict equivalence concepts from Rosenbrock's theory on linear systems are used to establish algebraic conditions of model matching as well as an algebraic method for design of centralized compensators. The ideas seem to be extensible without difficulty to a class of decentralized control.
On the finite Fourier transforms of functions with infinite discontinuities.
On the order reduction of optimal control systems
On the pole placement problem for linear systems of arbitrary genus.
On the reachable sets of non-autonomous linear control systems