Convexity of the cost functional in an optimal control problem for a class of positive switched systems

P Colaneri, RH Middleton, Z Chen, D Caporale… - Automatica, 2014 - Elsevier
This paper deals with the optimal control of a class of positive switched systems. The main
feature of this class is that switching alters only the diagonal entries of the dynamic matrix …

Switched positive linear systems

F Blanchini, P Colaneri… - Foundations and Trends …, 2015 - nowpublishers.com
In this monograph we consider the class of continuous-time positive switched systems. We
discuss several problems, including stability, performance analysis, stabilization via …

Optimally switched linear systems

T Das, R Mukherjee - Automatica, 2008 - Elsevier
In this paper we address the problem of optimal switching for switched linear systems. The
uniqueness of our approach lies in describing the switching action by multiple control inputs …

Discrete‐time control for switched positive systems with application to mitigating viral escape

E Hernandez‐Vargas, P Colaneri… - … journal of robust and …, 2011 - Wiley Online Library
This paper has been motivated by the problem of viral mutation in HIV infection. Under
simplifying assumptions, viral mutation treatment dynamics can be viewed as a positive …

An approach for solving general switched linear quadratic optimal control problems

X Xu, PJ Antsaklis - Proceedings of the 40th IEEE Conference …, 2001 - ieeexplore.ieee.org
This paper successfully addresses an important class of hybrid optimal control problems of
practical significance. It provides a viable general approach to hybrid optimal control based …

Optimal control of switched systems: new results and open problems

X Xu, PJ Antsaklis - Proceedings of the 2000 American Control …, 2000 - ieeexplore.ieee.org
In optimal control problems of switched systems, we may need to find both an optimal
continuous input and an optimal switching sequence since the system dynamics vary before …

Optimizing linear system switching

B Lincoln, A Rantzer - … of the 40th IEEE Conference on Decision …, 2001 - ieeexplore.ieee.org
This paper considers a class of control problems where there is a need to find switching-
sequences between different linear systems, as well as linear control laws, to minimize …

An approach to switched systems optimal control based on parameterization of the switching instants

X Xu, PJ Antsaklis - IFAC Proceedings Volumes, 2002 - Elsevier
This paper provides a viable general approach to switched systems optimal control. Such
optimal control problems require the solutions of not only optimal continuous inputs but also …

Optimal control of switched systems via non-linear optimization based on direct differentiations of value functions

X Xu, PJ Antsaklis - International Journal of Control, 2002 - Taylor & Francis
This paper presents an approach for solving optimal control problems of switched systems.
In general, in such problems one needs to find both optimal continuous inputs and optimal …

A polynomial approach for optimal control of switched nonlinear systems

E Mojica‐Nava, N Quijano… - … Journal of Robust …, 2014 - Wiley Online Library
Optimal control problems for switched nonlinear systems are investigated. We propose an
alternative approach for solving the optimal control problem for a nonlinear switched system …