Stability and stabilizability of switched linear systems: a survey of recent results

H Lin, PJ Antsaklis - IEEE Transactions on Automatic control, 2009 - ieeexplore.ieee.org
During the past several years, there have been increasing research activities in the field of
stability analysis and switching stabilization for switched systems. This paper aims to briefly …

[КНИГА][B] Stability and convergence of mechanical systems with unilateral constraints

RI Leine, N Van de Wouw - 2007 - books.google.com
Stability of motion is a central theme in the dynamics of mechanical systems. While the
stability theory for systems with bilateral constraints is a well-established field, this …

[КНИГА][B] Switched time-delay systems

MS Mahmoud, MS Mahmoud - 2010 - Springer
This chapter is concerned with the main ingredients and basic notions of switched time-
delay systems. For simplicity of exposition, we present the relevant topics and materials of …

Quadratic stabilizability of switched linear systems with polytopic uncertainties

G Zhai, H Lin, PJ Antsaklis - International Journal of Control, 2003 - Taylor & Francis
In this paper, we consider quadratic stabilizability via state feedback for both continuous-
time and discrete-time switched linear systems that are composed of polytopic uncertain …

Synthesis of switched linear systems

S Pettersson - 42nd IEEE International Conference on Decision …, 2003 - ieeexplore.ieee.org
This paper treats the following synthesis problem: given a switched linear system, how
should the linear vector fields be selected among the possible ones such that the switched …

Sufficient conditions for finite-time stability of impulsive dynamical systems

R Ambrosino, F Calabrese, C Cosentino… - … on Automatic Control, 2009 - ieeexplore.ieee.org
The finite-time stability problem for state-dependent impulsive dynamical linear systems (SD-
IDLS) is addressed in this note. SD-IDLS are a special class of hybrid systems which exhibit …

Hybrid dynamical systems: An introduction to control and verification

H Lin, PJ Antsaklis - … and Trends® in Systems and Control, 2014 - nowpublishers.com
Hybrid dynamical systems are a class of complex systems that involve interacting discrete-
event and continuous-variable dynamics. They are important in applications in embedded …

Nonlinear observer for autonomous switching systems with jumps

M Djemai, N Manamanni, JP Barbot - Hybrid Dynamical Systems …, 2015 - Springer
This work deals with nonlinear observer synthesis for a particular class of hybrid dynamic
systems (HDS): autonomous switching systems with jumps. The jumps can result from the …

Observer-based control of discrete-time Lipschitzian non-linear systems: application to one-link flexible joint robot

S Ibrir, WF **e*, CY Su - International Journal of Control, 2005 - Taylor & Francis
The problem of designing asymptotic observers along with observer-based feedbacks for a
class of discrete-time non-linear systems is considered. We assume that the system non …

Design of a robust fault detection based observer for linear switched systems with external disturbances

DEC Belkhiat, N Messai, N Manamanni - Nonlinear Analysis: Hybrid …, 2011 - Elsevier
This paper concerns the design of a robust hybrid observer for switched linear systems with
unknown inputs and modeling error. It extends some previous results to a more general …