The order reduction and robust D-stability analysis of discrete uncertain time-delay systems by time-scale separation
The partial non interacting problem: Structural and geometric solutions
The performance of a digital FSK system with actual discriminator: time distortions effects
The planar motion with bounded derivative of the curvature and its suboptimal paths.
The present and future of signal processing
The principle of the largest terms and quantum large deviations
We give an approach to large deviation type asymptotic problems without evident probabilistic representation behind. An example provided by the mean field models of quantum statistical mechanics is considered.
The problems of collision avoidance at sea in the formulation of complex motion principles
The paper presents a mathematical model of a collision situation for objects afloat based on the rules of a multiple complex motion. It also contains an analysis of the presented model and draws some conclusions from it. The method used to determine the minimum-time control of ships in a situation of colliding with other objects afloat is presented for a mathematical model of a collision situation. It also includes the results of a simulation study conducted by means of this method. A parallel approach...
The quadratic criterion of control process quality using the exponential weighting function
The realization of input-output maps using bialgebras.
The representation of a wave in a development matrix of a subsystem
The role of parameter constraints in EE and OE methods for optimal identification of continuous LTI models
The paper presents two methods used for the identification of Continuous-time Linear Time Invariant (CLTI) systems. In both methods the idea of using modulating functions and a convolution filter is exploited. It enables the proper transformation of a differential equation to an algebraic equation with the same parameters. Possible different normalizations of the model are strictly connected with different parameter constraints which have to be assumed for the nontrivial solution of the optimal...
The second-order methods in discrete optimal control problems
The simplex method for nonlinear sliding mode control.
The spectrum of the damped wave operator for a bounded domain in .
The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent
The paper deals with the genericity of domain-dependent spectral properties of the Laplacian-Dirichlet operator. In particular we prove that, generically, the squares of the eigenfunctions form a free family. We also show that the spectrum is generically non-resonant. The results are obtained by applying global perturbations of the domains and exploiting analytic perturbation properties. The work is motivated by two applications: an existence result for the problem of maximizing the rate of...
The stability of an irrigation canal system
In this paper we examine the stability of an irrigation canal system. The system considered is a single reach of an irrigation canal which is derived from Saint-Venant's equations. It is modelled as a system of nonlinear partial differential equations which is then linearized. The linearized system consists of hyperbolic partial differential equations. Both the control and observation operators are unbounded but admissible. From the theory of symmetric hyperbolic systems, we derive the exponential...
The stabilization problem on surfaces.
The steady-state impedance operator of a Linear Periodically Time-Varying one-port network and its determination
The main subject of the paper is the description and determination of the impedance operator of a linear periodically timevarying (LPTV) one-port network in the steady-state. If the one-port network parameters and the supply vary periodically with the same period, the network reaches a periodic steady state. However, the sinusoidal supply may induce a nonsinusoidal voltage or current. It is impossible to describe such a phenomenon by means of one complex number. A periodically time-varying one-port...
The strong pointwise convergence of nearest neighbor function fitting algorithm with applications to system identification
The structure of nonlinear time delay systems
Multivariable nonlinear systems with time delays are considered. The delays are supposed to be constant but not commensurate. The goal of this paper is to give a structure algorithm which displays some system invariants for this class of systems.