Robust stabilization of linear uncertain discrete-time systems via a limited capacity communication channel

VN Phat, J Jiang, AV Savkin, IR Petersen - Systems & control letters, 2004 - Elsevier
The paper considers the problem of robust stabilization of linear uncertain discrete-time
systems via limited capacity communication channels. We consider the case when the …

Stabilization and practical asymptotic stability of abstract differential equations

H Damak, MA Hammami - Numerical Functional Analysis and …, 2016 - Taylor & Francis
This article studies the problem of stabilization of the infinite-dimension time-varying control
systems in Hilbert spaces. We consider the problem of practical asymptotic stability with …

[PDF][PDF] Exponential stability of nonlinear time-varying differential equations and applications.

NM Linh, VN Phat - Electronic Journal of Differential Equations (EJDE) …, 2001 - eudml.org
In this paper, we give sufficient conditions for the exponential stability of a class of nonlinear
time-varying differential equations. We use the Lyapunov method with functions that are not …

On controllability of second order dynamical systems–a survey

J Klamka, J Wyrwał, R Zawiski - Bulletin of the Polish Academy of …, 2017 - yadda.icm.edu.pl
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 …

[HTML][HTML] Output feedback guaranteed cost control of uncertain linear discrete systems with interval time-varying delays

TL Fernando, VN Phat, HM Trinh - Applied Mathematical Modelling, 2013 - Elsevier
This paper deals with output feedback guaranteed cost control problem for a general class
of uncertain linear discrete delay systems, where the state and the observation output are …

New characterization of controllability via stabilizability and Riccati equation for LTV systems

VN Phat, QP Ha - IMA Journal of Mathematical Control and …, 2008 - academic.oup.com
This paper presents a new characterization of controllability via stabilizability and Riccati
equation for linear time-varying systems. An equivalence is given between the global null …

[PDF][PDF] Asymptotic stability of nonlinear control systems described by difference equations with multiple delays

P Niamsup, VN Phat - 2000 - digital.library.txstate.edu
In this paper we study nonlinear control systems with multiple delays on controls and states.
To obtain asymptotic stability, we impose Holder-type assumptions on the perturbing …

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

VN Phat - Electronic Journal of Differential Equations (EJDE) …, 2001 - eudml.org
This paper studies the stabilization of the infinite hyphen dimensional linear time hyphen
varying system with state delays x-dotaccent= A open parenthesis t closing parenthesis x …

Global stabilization of linear periodically time-varying switched systems via matrix inequalities

VN Phat, S Pairote - Journal of Control Theory and Applications, 2006 - Springer
In this paper, we address the stabilization problem for linear periodically time-varying
switched systems. Using discretization technique, we derive new conditions for the global …

Stability analysis of nonlinear retarded difference equations in Banach spaces

NS Bay, VN Phat - Computers & Mathematics with Applications, 2003 - Elsevier
In this paper, we give new sufficient conditions for asymptotic stability and instability of
nonlinear difference equations with delays in infinite-dimensional spaces x (k+ 1)= f (k, x (k) …