Affine parameter-dependent Lyapunov functions and real parametric uncertainty
P Gahinet, P Apkarian, M Chilali - IEEE Transactions on …, 1996 - ieeexplore.ieee.org
This paper presents new tests to analyze the robust stability and/or performance of linear
systems with uncertain real parameters. These tests are extensions of the notions of …
systems with uncertain real parameters. These tests are extensions of the notions of …
Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties
J Daafouz, J Bernussou - Systems & control letters, 2001 - Elsevier
In this paper, we consider discrete time systems with polytopic time varying uncertainty. We
look for a class of parameter dependent Lyapunov functions which are quadratic on the …
look for a class of parameter dependent Lyapunov functions which are quadratic on the …
[图书][B] Advances in linear matrix inequality methods in control
L El Ghaoui, S Niculescu - 2000 - SIAM
Linear matrix inequalities (LMIs) have emerged recently as a useful tool for solving a
number of control problems. The basic idea of the LMI method in control is to interpret a …
number of control problems. The basic idea of the LMI method in control is to interpret a …
Stabilization of arbitrary switched linear systems with unknown time-varying delays
We consider continuous time switched systems that are stabilized via a computer. Several
factors (sampling, computer computation, communications through a network, etc.) introduce …
factors (sampling, computer computation, communications through a network, etc.) introduce …
[图书][B] Homogeneous polynomial forms for robustness analysis of uncertain systems
Page 1 LNCIS 390 LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES Graziano
Chesi Andrea Garulli Alberto Tesi Antonio Vicino Homogeneous Polynomial Forms for …
Chesi Andrea Garulli Alberto Tesi Antonio Vicino Homogeneous Polynomial Forms for …
Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach
In this note, robust stability of state-space models with respect to real parametric uncertainty
is considered. Specifically, a new class of parameter-dependent quadratic Lyapunov …
is considered. Specifically, a new class of parameter-dependent quadratic Lyapunov …
LPV system analysis via quadratic separator for uncertain implicit systems
T Iwasaki, G Shibata - IEEE Transactions on Automatic Control, 2001 - ieeexplore.ieee.org
This paper considers a class of linear systems containing time-varying parameters whose
behavior is not known exactly. We assume that the parameters vary within known intervals …
behavior is not known exactly. We assume that the parameters vary within known intervals …
Robust control of continuous-time systems with state-dependent uncertainties and its application to electronic circuits
In this paper, the problems of robust stability and stabilization are investigated for a class of
continuous-time uncertain systems. The uncertainties in the model are state-dependent and …
continuous-time uncertain systems. The uncertainties in the model are state-dependent and …
Robust stability and stabilization of time-delay systems via integral quadratic constraint approach
M Fu, H Li, SI Niculescu - Stability and control of time-delay systems, 2005 - Springer
In this chapter, we consider two problems associated with time-delay systems: robust
stability analysis and robust stabilization. We first obtain two results for robust stability using …
stability analysis and robust stabilization. We first obtain two results for robust stability using …
Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions
This paper deals with robust stability analysis of linear state space systems affected by time-
varying uncertainties with bounded variation rate. A new class of parameter-dependent …
varying uncertainties with bounded variation rate. A new class of parameter-dependent …