[KNIHA][B] Stability and stabilization of linear systems with saturating actuators

S Tarbouriech, G Garcia, JMG da Silva Jr, I Queinnec - 2011 - books.google.com
This monograph details basic concepts and tools fundamental for the analysis and synthesis
of linear systems subject to actuator saturation and developments in recent research. The …

[KNIHA][B] Homogeneous polynomial forms for robustness analysis of uncertain systems

G Chesi, A Garulli, A Tesi, A Vicino - 2009 - books.google.com
Page 1 LNCIS 390 LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES Graziano
Chesi Andrea Garulli Alberto Tesi Antonio Vicino Homogeneous Polynomial Forms for …

Static output feedback stabilization of uncertain rational nonlinear systems with input saturation

TA Lima, DS Madeira, VV Viana, RCLF Oliveira - Systems & Control Letters, 2022 - Elsevier
In this paper, the notion of robust strict QSR-dissipativity is applied to solve the static output
feedback control problem for a class of continuous-time nonlinear rational systems subject to …

Estimating the domain of attraction for non-polynomial systems via LMI optimizations

G Chesi - Automatica, 2009 - Elsevier
This paper proposes a strategy for estimating the domain of attraction (DA) for non-
polynomial systems via Lyapunov functions (LFs). The idea consists of converting the non …

Positive forms and stability of linear time-delay systems

MM Peet, A Papachristodoulou, S Lall - SIAM Journal on Control and …, 2009 - SIAM
We consider the problem of constructing Lyapunov functions for linear differential equations
with delays. For such systems it is known that exponential stability implies the existence of a …

Optimal control for polynomial systems using matrix sum of squares relaxations

H Ichihara - IEEE Transactions on Automatic Control, 2009 - ieeexplore.ieee.org
This note deals with a computational approach to an optimal control problem for input-affine
polynomial systems based on a state-dependent linear matrix inequality (SDLMI) from the …

Rational Lyapunov functions for estimating and controlling the robust domain of attraction

G Chesi - Automatica, 2013 - Elsevier
This paper addresses the estimation and control of the robust domain of attraction (RDA) of
equilibrium points through rational Lyapunov functions (LFs) and sum of squares (SOS) …

ℒ︁2‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs

DF Coutinho, M Fu, A Trofino… - International Journal of …, 2008 - Wiley Online Library
This paper proposes a convex approach to regional stability and ℒ︁2‐gain analysis and
control synthesis for a class of nonlinear systems subject to bounded disturbance signals …

Estimating the domain of attraction via union of continuous families of Lyapunov estimates

G Chesi - Systems & control letters, 2007 - Elsevier
This paper proposes a new approach to estimate the domain of attraction of equilibrium
points of polynomial systems. The idea consists of estimating the domain of attraction via the …

Design of polynomial control laws for polynomial systems subject to actuator saturation

G Valmorbida, S Tarbouriech… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
This paper presents results for the design of polynomial control laws for polynomial systems
in global and regional contexts. The proposed stabilization conditions are based on …