Jerzy Klamka
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Controllability and Observability of the Descriptor Linear Systems Reduced to the Standard Ones by Feedbacks Open
In this paper, a new method for the reduction of the descriptor linear systems to standards ones is presented and verified. The method uses a state and/or state derivative feedback of output and output derivative feedback in order to trans…
Controllability of linear convex combination of linear discrete-time fractional systems Open
In this paper the controllability properties of the convex linear combination of fractional, linear, discrete-time systems are characterized and investigated. The notions of linear convex combination and controllability in the context of f…
Approximation models for the evaluation of TCP/AQM networks Open
The article proposes a model in which Diffusion Approximation is used to analyse the TCP/AQM transmission mechanism in a multinode computer network. In order to prevent traffic congestion, routers implement AQM (Active Queue Management) al…
Convex linear combination of the controllability pairs for linear systems Open
The convex linear combination of the controllability pairs of linear continuous-time linear systems is defined and its properties are discussed. The main result is obtained using pure algebraic methods. In the illustrative examples differe…
Diffusion Model of a Non-Integer Order PIγ Controller with TCP/UDP Streams Open
In this article, a way to employ the diffusion approximation to model interplay between TCP and UDP flows is presented. In order to control traffic congestion, an environment of IP routers applying AQM (Active Queue Management) algorithms …
Approximate controllability of second order infinite dimensional systems Open
In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is prese…
The IoT gateway with active queue management Open
As the traffic volume from various Internet of things (IoT) networks increases significantly, the need for adapting the quality of service (QoS) mechanisms to the new Internet conditions becomes essential. We propose a QoS mechanism for th…
Combined diffusion approximation–simulation model of AQM’s transient behavior Open
The article introduces an approach combining diffusion approximation and simulation ones. Furthermore, it describes how it can be used to evaluate active queue management (AQM) mechanisms. Based on the obtained queue distributions, the sim…
Controllability of Semilinear Systems with Multiple Variable Delays in Control Open
In the paper semilinear, finite-dimensional, control systems with multiple time variable point delays in admissible controls are considered. Using Rothe’s fixed-point theorem, sufficient controllability conditions are formulated. The resul…
Computational Intelligence and Optimization Techniques in Communications and Control Open
International audience
Exact and approximate distributed controllability of processes described by KdV and Boussinesq equations: The Green’s function approach Open
In this paper, we study the constrained exact and approximate controllability of traveling wave solutions of Korteweg-de Vries (third order) and Boussinesq (fourth order) semi-linear equations using the Green’s function approach. Control i…
Assignability of numerical characteristics of time-varying systems Open
The main aim of this article is to survey and discuss the existing state of art concerning the assignability by a feedback of numerical characteristics of linear continuous and discrete time-varying systems. Most of the results present nec…
Averaged controllability of heat equation in unbounded domains with random geometry and location of controls: The Green’s function approach Open
The constrained averaged controllability of linear one-dimensional heat equation defined on R and R+ is studied. The control is carried out by means of the time-dependent intensity of a heat source located at an uncertain interval of the c…
A Diffusion Approximation model of Active Queue Management Open
The article describes the diffusion approximation and the method of its use for evaluation of the effectiveness of active queue management (AQM) mechanisms. The presented model combines the approximation and simulation approaches. The diff…
Diffusion Approximation Model of TCP NewReno Congestion Control Mechanism Open
The aim of the article is to contribute to the modeling and evaluation of TCP/IP traffic control in case of active queue management mechanisms implemented in congestion router. We consider mechanisms based on RED and fractional-order $$PI^…
On controllability of second order dynamical systems – a survey Open
The paper presents a survey of recent results in the area of controllability of second order dynamical systems. Controllability problem for finite and infinite dimensional, linear, semilinear, deterministic and stochastic dynamical systems…
The use of a non-integer order PI controller with an active queue management mechanism Open
In this paper the performance of a fractional order PI controller is compared with that of RED, a well-known active queue management (AQM) mechanism. The article uses fluid flow approximation and discrete-event simulation to investigate th…
Local controllability and optimal control for\newline a model of combined anticancer therapy with control delays Open
We study some control properties of a class of two-compartmental models of response to anticancer treatment which combines anti-angiogenic and cytotoxic drugs and take into account multiple control delays. We formulate sufficient local con…
Schauder’s fixed-point theorem in approximate controllability problems Open
The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for appr…
Banach fixed-point theorem in semilinear controllability problems – a survey Open
The main aim of this article is to review the existing state of art concerning the complete controllability of semilinear dynamical systems. The study focus on obtaining the sufficient conditions for the complete controllability for variou…