Sparse stabilization and control of alignment models
Starting with the seminal papers of Reynolds (1987), Vicsek et al.(1995), Cucker–Smale
(2007), there has been a lot of recent works on models of self-alignment and consensus …
(2007), there has been a lot of recent works on models of self-alignment and consensus …
Invariance entropy for deterministic control systems
C Kawan - Lecture notes in mathematics, 2013 - Springer
This book is supposed to serve as an introduction to the theory of invariance entropy which
is related to the control task of making a subset in the state space of a control system …
is related to the control task of making a subset in the state space of a control system …
Sparse stabilization and optimal control of the Cucker-Smale model
This article is mainly based on the work [7], and it is dedicated to the 60th anniversary of B.
Bonnard, held in Dijon in June 2012. We focus on a controlled Cucker--Smale model in finite …
Bonnard, held in Dijon in June 2012. We focus on a controlled Cucker--Smale model in finite …
Entropy and minimal data rates for state estimation and model detection
D Liberzon, S Mitra - Proceedings of the 19th International Conference …, 2016 - dl.acm.org
We investigate the problem of constructing exponentially converging estimates of the state of
a continuous-time system from state measurements transmitted via a limited-data-rate …
a continuous-time system from state measurements transmitted via a limited-data-rate …
Observation of nonlinear systems via finite capacity channels, Part II: Restoration entropy and its estimates
AS Matveev, AY Pogromsky - Automatica, 2019 - Elsevier
The paper deals with the state estimation problem for nonlinear dynamical systems via
communication channels with limited data rate. We introduce several minimum data-rate …
communication channels with limited data rate. We introduce several minimum data-rate …
On topological entropy of switched linear systems with diagonal, triangular, and general matrices
This paper introduces a notion of topological entropy for switched systems, formulated using
the minimal number of initial states needed to approximate all initial states within a finite …
the minimal number of initial states needed to approximate all initial states within a finite …
Exponential state estimation, entropy and Lyapunov exponents
C Kawan - Systems & Control Letters, 2018 - Elsevier
In this paper we study the notion of estimation entropy established by Liberzon and Mitra.
This quantity measures the smallest rate of information about the state of a system above …
This quantity measures the smallest rate of information about the state of a system above …
Compositional quantification of invariance feedback entropy for networks of uncertain control systems
In the context of uncertain control systems, the notion of invariance feedback entropy (IFE)
quantifies the state information required by any controller to render a subset Q of the state …
quantifies the state information required by any controller to render a subset Q of the state …
Worst-case topological entropy and minimal data rate for state observation of switched linear systems
GO Berger, RM Jungers - … of the 23rd international conference on hybrid …, 2020 - dl.acm.org
We introduce and study the concept of worst-case topological entropy of switched linear
systems under arbitrary switching. It is shown that this quantity is equal to the minimal data …
systems under arbitrary switching. It is shown that this quantity is equal to the minimal data …
Robustness of critical bit rates for practical stabilization of networked control systems
A Da Silva, C Kawan - Automatica, 2018 - Elsevier
In this paper we address the question of robustness of critical bit rates for the stabilization of
networked control systems over digital communication channels. For a deterministic …
networked control systems over digital communication channels. For a deterministic …