In this paper we develop a new approach for optimal control problems with general jointly varying state endpoints (also called coupled endpoints). We present transformation of nonlinear problem and pointwise equality constraints into an equivalent the same type but separately in double dimension. Our preserves among other properties controllability (normality) considered problems. At time it is...

Safety is often the most important requirement in robotics applications. Nonetheless, control techniques that can provide safety guarantees are still extremely rare for nonlinear systems, such as robot manipulators. A well-known tool to ensure viability kernel, which largest set of states from be ensured. Unfortunately, computing a system challenging general. Several numerical algorithms approx...

In this paper, our purpose is to study the classical continuous optimal control (CCOC) for quaternary nonlinear parabolic boundary value problems (QNLPBVPs). The existence and uniqueness theorem (EUTh) state vector solution (QSVS) of weak form (WF) QNLPBVPs with a given (QCCCV) stated proved via Galerkin Method (GM) first compactness under suitable assumptions(ASSUMS). Furthermore, continuity o...

We study the problem of optimal control over process described by a multipoint with oblique derivative for second-order parabolic equation and consider cases internal, starting, boundary control. The performance criterion is specified as sum volume surface integrals. By using principle maximum priori estimates, we establish existence uniqueness solutions boundary-value degeneration. coefficient...