Guram Kharatishvili and Tamaz Tadumadze
abstract:
Necessary conditions both for the optimality of controls and
initial functions are proved in the form of an integral maximum principle and
conditions of transversality for nonlinear systems with a variable
structure, delays and a piecewise continuous initial function in the case
where values of the initial function (prehistory) and of the trajectory at a
non-fixed initial moment and at a moment of variation of the structure
do not, generally speaking, coincide.
Mathematics Subject Classification: 49K25.
Key words and phrases: Maximum principle, transversality conditions, delays, variable structure systems.