EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 61 – 74 of 74

Stability and stabilizability of mixed retarded-neutral type systems

Rabah Rabah, Grigory Mikhailovitch Sklyar, Pavel Yurevitch Barkhayev (2012)

ESAIM: Control, Optimisation and Calculus of Variations

We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term may be singular. We consider an operator differential equation model of the system in a Hilbert space, and we are interested in the critical case when there is a sequence of eigenvalues with real parts converging to zero. In this case, the system cannot be exponentially stable, and we study conditions under which it will be strongly stable. The behavior of spectra of mixed retarded-neutral...

Stability and stabilizability of mixed retarded-neutral type systems∗

Rabah Rabah, Grigory Mikhailovitch Sklyar, Pavel Yurevitch Barkhayev (2012)

ESAIM: Control, Optimisation and Calculus of Variations

Stability and stabilizability of mixed retarded-neutral type systems∗

Rabah Rabah, Grigory Mikhailovitch Sklyar, Pavel Yurevitch Barkhayev (2012)

ESAIM: Control, Optimisation and Calculus of Variations

Stability and stabilization of one class of three time-scale systems with delays

Valery Y. Glizer (2022)

Kybernetika

A singularly perturbed linear time-invariant time delay controlled system is considered. The singular perturbations are subject to the presence of two small positive multipliers for some of the derivatives in the system. These multipliers (the parameters of singular perturbations) are of different orders of the smallness. The delay in the slow state variable is non-small (of order of $1$ ). The delays in the fast state variables are proportional to the corresponding parameters of singular perturbations....

Stability of stochastic functional differential equations and the W-transform.

Kadiev, Ramazan, Ponosov, Arcady (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Stabilization criteria for continuous linear time-invariant systems with constant lags.

de la Sen, M. (2006)

Discrete Dynamics in Nature and Society

Stabilization of fractional exponential systems including delays

Catherine Bonnet, Jonathan R. Partington (2001)

Kybernetika

This paper analyzes the BIBO stability of fractional exponential delay systems which are of retarded or neutral type. Conditions ensuring stability are given first. As is the case for the classical class of delay systems these conditions can be expressed in terms of the location of the poles of the system. Then, in view of constructing robust BIBO stabilizing controllers, explicit expressions of coprime and Bézout factors of these systems are determined. Moreover, nuclearity is analyzed in a particular...

Stabilization of linear continuous time-varying systems with state delays in Hilbert spaces.

Vu Ngoc Phat (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Statistical-learning control of multiple-delay systems with application to ATM networks

Chaouki T. Abdallah, Marco Ariola, Vladimir Koltchinskii (2001)

Kybernetika

Congestion control in the ABR class of ATM network presents interesting challenges due to the presence of multiple uncertain delays. Recently, probabilistic methods and statistical learning theory have been shown to provide approximate solutions to challenging control problems. In this paper, using some recent results by the authors, an efficient statistical algorithm is used to design a robust, fixed-structure, controller for a high-speed communication network with multiple uncertain propagation...

The algebraic structure of delay-differential systems: a behavioral perspective

Heide Glüsing-Lüerssen, Paolo Vettori, Sandro Zampieri (2001)

Kybernetika

This paper presents a survey on the recent contributions to linear time- invariant delay-differential systems in the behavioral approach. In this survey both systems with commensurate and with noncommensurate delays will be considered. The emphasis lies on the investigation of the relationship between various systems descriptions. While this can be understood in a completely algebraic setting for systems with commensurate delays, this is not the case for systems with noncommensurate delays. In the...

Trajectory tracking control for nonlinear time-delay systems

Luis Alejandro Márquez-Martínez, Claude H. Moog (2001)

Kybernetika

The reference trajectory tracking problem is considered in this paper and (constructive) sufficient conditions are given for the existence of a causal state feedback solution. The main result is introduced as a byproduct of input-output feedback linearization.

Viral infection model with diffusion and state-dependent delay: a case of logistic growth

Rezounenko, Alexander V. (2017)

Proceedings of Equadiff 14

We propose a virus dynamics model with reaction-diffusion and logistic growth terms, intracellular state-dependent delay and a general non-linear infection rate functional response. Classical solutions with Lipschitz in-time initial functions are investigated. This type of solutions is adequate to the discontinuous change of parameters due to, for example, drug administration. The Lyapunov functions approach is used to analyse stability of interior infection equilibria which describe the cases of...

Viral in-host infection model with two state-dependent delays: stability of continuous solutions

Kateryna Fedoryshyna, Alexander Rezounenko (2021)

Mathematica Bohemica

A virus dynamics model with two state-dependent delays and logistic growth term is investigated. A general class of nonlinear incidence rates is considered. The model describes the in-host interplay between viral infection and CTL (cytotoxic T lymphocytes) and antibody immune responses. The wellposedness of the model proposed and Lyapunov stability properties of interior infection equilibria which describe the cases of a chronic disease are studied. We choose a space of merely continuous initial...

Weak structure at infinity and row-by-row decoupling for linear delay systems

Rabah Rabah, Michel Malabre (2004)

Kybernetika

We consider the row-by-row decoupling problem for linear delay systems and show some close connections between the design of a decoupling controller and some particular structures of delay systems, namely the so-called weak structure at infinity. The realization by static state feedback of decoupling precompensators is studied, in particular, generalized state feedback laws which may incorporate derivatives of the delayed new reference.

Currently displaying 61 – 74 of 74

Previous Page 4