Abstract: Aiming at the problems of complex technology, difficult development and cumbersome application for traditional numerical control systems. In this paper, a universal numerical control system ...

One of the most common and powerful numerical modeling techniques for control systems is the state-space model. This is a mathematical representation of a system that uses a set of state variables ...

We consider a finite element approximation of the Hamilton-Jacobi-Bellman equation for the optimal control of switched systems. In particular, we show that the obtained finite dimensional problem ...

Unify control design and numerical calculation in optimal control problems with inequality constraints using symplectic structure. Seamlessly apply stable manifold method for precise numerical solving ...

Discover a new approach using linear combination property of intervals and discretization to solve nonlinear optimal control problems. Efficiently convert nonlinear systems to linear programming ...

Numerical analysis provides an effective way to model and simulate the cooling system in a virtual environment, allowing you to control and vary the parameters, observe and measure the results ...

Key words: numerical methods, first-order PDEs, nonlinear systems, optimal control, Hamiltonian equations, boundary-value problems. 1 Introduction Hamilton's canonical equations (HCEs) are key objects ...

The solution to optimal control problems for ordinary differential equations can be obtained by applying Pontryagin's minimum principle. This usually yields in general a non-linear boundary value ...