Journal ArticleDOI
A convexity result for the optimal control of a class of positive nonlinear systems
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In this paper, a class of input-parametrized bilinear positive systems is considered, characterized by the fact that the input variables affect only the diagonal entries of the dynamical matrix.About:
This article is published in IFAC Proceedings Volumes.The article was published on 2014-01-01. It has received 10 citations till now. The article focuses on the topics: Positive systems & Optimal control.read more
Citations
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Journal ArticleDOI
Introduction to mathematical control theory (2nd edition), by S. Barnett and R. G. Cameron. Pp 404. £25 (hardback), £12·50 (paperback). 1985. ISBN 0-19-859640-5, 859639-1 (Oxford University Press)
TL;DR: The best concise account of the basic mathematical aspects of control has been brought completely up to date while retaining its focus on state-space methods and its emphasis on points of mathematical interest.
Book
Switched Positive Linear Systems
TL;DR: Switched Positive Linear Systems studies the stability, performance evaluation, stabilization via switching control, and optimal control of (continuous-time and linear) positive switched systems.
Book
Positive Markov Jump Linear Systems
Paolo Bolzern,Patrizio Colaneri +1 more
TL;DR: The paper collects some existing results together with original developments on the stability analysis of PMJLS and the study of their input-output properties and discusses several problems, including stability, performance analysis, stabilization via switching control, and optimization.
Proceedings ArticleDOI
A convex optimization approach to cancer treatment to address tumor heterogeneity and imperfect drug penetration in physiological compartments
TL;DR: It is demonstrated that this method yields an effective strategy in mitigating disease evolution in the presence of imperfect drug penetration in two compartments on an experimentally identified model of anaplastic lymphoma kinase (ALK)-rearranged lung carcinoma.
References
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Positive Linear Systems: Theory and Applications
Lorenzo Farina,Sergio Rinaldi +1 more
TL;DR: In this article, the authors define and define conditions of positivity of equilibria, including reachability and observability, and define a set of conditions for positive equilibrium. But they do not define the conditions of transparency.
Journal ArticleDOI
Epidemic outbreaks in complex heterogeneous networks
TL;DR: The large connectivity fluctuations usually found in these networks strengthen considerably the incidence of epidemic outbreaks and defines a new epidemiological framework characterized by a highly heterogeneous response of the system to the introduction of infected individuals with different connectivity.
Journal ArticleDOI
Discrete‐time control for switched positive systems with application to mitigating viral escape
TL;DR: Using linear co-positive Lyapunov functions, results for the synthesis of stabilizing, guaranteed performance and optimal control laws for switched linear systems are presented and applied to a simplified human immunodeficiency viral mutation model.
Journal ArticleDOI
Optimal control of a class of hybrid systems
TL;DR: A modeling framework for hybrid systems intended to capture the interaction of event-driven and time-driven dynamics and several properties of optimal state trajectories are identified which significantly simplify the task of obtaining explicit optimal control policies.
Book
Introduction to Mathematical Control Theory
TL;DR: The best concise account of the basic mathematical aspects of control has been brought completely up to date while retaining its focus on state-space methods and its emphasis on points of mathematical interest.