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The singular optimal control of switched systems
(Nova Science Publishers, Inc., 2017-01-01)
This chapter studies a singular case of Optimal Control Problems(OCPs) governed by a class of switched control systems. We proposea new mathematical formalism for this type of switched dynamic systemsand study OCPs with a ...
Optimal and sub-optimal control in Dengue epidemics
(Wiley-Blackwell, 2001-03-01)
This work concerns the application of the optimal control theory to Dengue epidemics. The dynamics of this insect-borne disease is modelled as a set of non-linear ordinary differential equations including the effect of ...
Optimal and sub-optimal control in Dengue epidemics
(Wiley-Blackwell, 2001-03-01)
This work concerns the application of the optimal control theory to Dengue epidemics. The dynamics of this insect-borne disease is modelled as a set of non-linear ordinary differential equations including the effect of ...
New optimality conditions for nonsmooth control problems
(2012-11-08)
This work considers nonsmooth optimal control problems and provides two new sufficient conditions of optimality. The first condition involves the Lagrange multipliers while the second does not. We show that under the first ...
New optimality conditions for nonsmooth control problems
(2012-11-08)
This work considers nonsmooth optimal control problems and provides two new sufficient conditions of optimality. The first condition involves the Lagrange multipliers while the second does not. We show that under the first ...
Guaranteed value strategy for the optimal control of biogas production in continuous bio-reactors
(Elsevier, 2017)
In this work, we revisit a problem of optimal control for the maximisation of biogas production in a continuous bioreactor, for which the analytical determination of the optimal synthesis is an open problem. We consider ...
Optimal and sub-optimal control in Dengue epidemics
(Wiley-Blackwell, 2014)
KT-invexity in optimal control problems
(Pergamon-Elsevier B.V. Ltd, 2009-11-15)
We extend the notion of KT-invexity from mathematical programming to the classical optimal control problem and show that this generalized invexity property is not only a sufficient condition of optimality for KT-processes ...
Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
(2017-03-02)
In this article we study optimal control problems for sys- tems that are affine with respect to some of the control variables and nonlinear in relation to the others. We consider finitely many equality and inequality ...