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On controllability of second order dynamical systems – a survey

Klamka J., Wyrwał J., Zawiski R.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2017

Vol. 65, nr 3

279--295

The paper presents a survey of recent results in the area of controllability of second order dynamical systems. Controllability problem for finite and infinite dimensional, linear, semilinear, deterministic and stochastic dynamical systems (with delays and undelayed) is taken into consideration. Different types of controllability are discussed.

Controllability of a model of combined anticancer therapy

Klamka J., Świerniak A.

Control and Cybernetics

2013

Vol. 42, no. 1

123--138

Controllability of combination of antiangiogenic treatment and chemotherapy is considered. A model used in the paper is a finite-dimensional dynamical control system described by secondo order semilinear time invariant ordinary differential state equations. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear second-order dynamical control system.