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Seeking bang-bang solutions of mixed immuno-chemotherapy of tumors.

Pillis, Lisette G.de, Fister, K.Renee, Gu, Weiqing, Collins, Craig, Daub, Michael, Gross, David, Moore, James, Preskill, Ben (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solution for a classical problem in the calculus of variations via rationalized Haar functions

Mohsen Razzaghi, Yadollah Ordokhani (2001)

Kybernetika

A numerical technique for solving the classical brachistochrone problem in the calculus of variations is presented. The brachistochrone problem is first formulated as a nonlinear optimal control problem. Application of this method results in the transformation of differential and integral expressions into some algebraic equations to which Newton-type methods can be applied. The method is general, and yields accurate results.

Some inverse mapping theorems

Hélène Frankowska (1990)

Annales de l'I.H.P. Analyse non linéaire

Some optimal control applications of real-analytic stratifications and desingularization

Héctor Sussmann (1998)

Banach Center Publications

Some results for an optimal control problem with a semilinear state equation

Fausto Gozzi (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We consider a quadratic control problem with a semilinear state equation depending on a small parameter $\epsilon$ . We show that the optimal control is a regular function of such parameter.

Some theorems of Scorza-Dragoni type for multifunctions with application to the problem of existence of solutions for differential multivalued equations

Stanisław Łojasiewicz, jr. (1985)

Banach Center Publications

Structure of approximate solutions of variational problems with extended-valued convex integrands

Alexander J. Zaslavski (2009)

ESAIM: Control, Optimisation and Calculus of Variations

In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand $f$ : $R^{n}$ $\times$ $R^{n}$ $\to$ $R^{1}$ $...$

Structure of approximate solutions of variational problems with extended-valued convex integrands

Alexander J. Zaslavski (2008)

ESAIM: Control, Optimisation and Calculus of Variations

In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand f : Rn×Rn $\to$ R1 $\cup$ ${\infty}$ , where Rn is the n-dimensional Euclidean space. We obtain a full...

Study of stationary solutions in gene network models by the homotopy method.

Fadeev, S.I., Gajnova, I.A., Berezin, A.Yu., Ratushnyj, A.V., Matushkin, Yu.G., Likhoshvaj, V.A. (2004)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Switching control

Enrique Zuazua (2011)

Journal of the European Mathematical Society

We analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the dynamics of the system by switching from an actuator to the other in a systematic way so that, in each instant of time, only one actuator is active. We first address a finite-dimensional model and show that, under suitable rank conditions, switching control strategies exist and can be built in a systematic way. To do this we introduce a new variational principle building...

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