TY - GEN
T1 - Controllability of nonlinear systems
AU - Klamka, Jerzy
PY - 2011
Y1 - 2011
N2 - In the present paper local constrained controllability problems for nonlinear and semilinear system with constant delays in the control are formulated and discussed. Using some mapping theorems taken from functional analysis and linear approximation methods sufficient conditions for relative and absolute local constrained controllability in a given time interval are derived and proved. The present paper extends controllability conditions with unconstrained controls given in the literature to cover the case of nonlinear systems with delays in control and with constrained controls. Special case of semilinear systems without delays in control is also discussed. As an illustrative example constrained local controllability of semilinear mathematical model of antiangiogenic therapy is considered.
AB - In the present paper local constrained controllability problems for nonlinear and semilinear system with constant delays in the control are formulated and discussed. Using some mapping theorems taken from functional analysis and linear approximation methods sufficient conditions for relative and absolute local constrained controllability in a given time interval are derived and proved. The present paper extends controllability conditions with unconstrained controls given in the literature to cover the case of nonlinear systems with delays in control and with constrained controls. Special case of semilinear systems without delays in control is also discussed. As an illustrative example constrained local controllability of semilinear mathematical model of antiangiogenic therapy is considered.
KW - Controllability
KW - Nonlinear systems
KW - Semilinear control systems
KW - Systems with delays in control
UR - https://www.scopus.com/pages/publications/82555178610
M3 - Conference contribution
AN - SCOPUS:82555178610
SN - 9781618040046
T3 - Recent Researches in Automatic Control - 13th WSEAS International Conference on Automatic Control, Modelling and Simulation, ACMOS'11
SP - 28
EP - 33
BT - Recent Researches in Automatic Control - 13th WSEAS International Conference on Automatic Control, Modelling and Simulation, ACMOS'11
T2 - 13th WSEAS International Conference on Automatic Control, Modelling and Simulation, ACMOS'11
Y2 - 27 May 2011 through 29 May 2011
ER -