Global exponential stability of switched systems

Filipović, Vojislav

doi:10.1007/s10483-011-1493-7

Cited by 9 publications

(3 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The supervisor (4) and (5), in this paper, is different in comparison with the supervisor described in [2] . Here, the main ingredient of supervisor is the index of performance of feedback control systems.…”

Section: Switching Control Systemsmentioning

confidence: 84%

See 1 more Smart Citation

Robust Switching Control Systems with Input Delay

Filipović¹

2011

SIC

View full text Add to dashboard Cite

This paper uses the concept of multiple models and the concept of switching controllers. The analog part of the system is described by a finite set of continuous-time models with input delays. The continuous-time models include unmodeled dynamics in the form of affine matrix family. By using suitable transformation, the models with input delay are converted into delay free models. Then, by using the LMI tool, the class of robust LQ controllers with the prescribed degree of stability is proposed and for every controller the upper bound for the performance index is given. The switching logic is based on the selection of minimal upper bound from the collection of upper bounds. Finally, it is shown by means of performance dominant conditions, that the resulting closed-loop is stable.

show abstract

Section: Switching Control Systemsmentioning

confidence: 84%

“…For example, the reference [3] presents a vision based cart-inverted pendulum system under a hybrid feedback configuration. In [4] was considered unicycle and constrained pendulum as examples for switched control systems. The reference [5] presents impedance control of a robot manipulator using hybrid control.…”

Section: Introductionmentioning

confidence: 99%

Robust Switching Control Systems with Input Delay

Filipović¹

2011

SIC

View full text Add to dashboard Cite

show abstract

“…Unweighted matrices and nonnegative inequality approaches are used to arrive at less conservative stability results. Filipovic, in [22] proposes a method for the stability analysis of deterministic switched systems. The author introduces two examples of motivation (the unholonomic system and the limited pendulum).…”

Section: Nonlinear and Stochastic Switched Systemsmentioning

confidence: 99%

Some results of studies on the stability and controlability properties of the switched systems of differential equations

Silva¹,

Salgado²,

Gordon³

et al. 2014

ams

View full text Add to dashboard Cite

In this paper we provide an overview of the state of tjhe art related to the study of the switched systems of differential equations. Such a panoramic study follows a bidirectional path. The first deals with the study of the considered systems of differential equations with regards the pooling of the same in two clusters, namely linear switched systems dependent on a continuous or discrete variable (such an independent variable usually represents time); and nonlinear switched and stochastic switched systems. The second direction deals with the study of these systems taking into account the more applied techniques to characterize 7066 Efrén Vázquez Silva et al. the stability and controllability thereof. We also have presented bidimensional switched systems.

show abstract