Stability and Time-Optimal Control of Hereditary Systems

Optimal Controllability of Nonlinear Infinitely Space of Neutral Differential Systems with Distributed Delays in the Control

“…We can linearize the system (1.1) as described by Chukwu (1992) by setting = ; a specified function insider the function ( , ) to have ( , ) without loss of generality. Thus system (1.1) becomes…”

Optimal problem of cost function for the linear neutral systems

“…The optimal control problem of this type has been extensively studied by many authors (see [1,2] and the references therein). In [2], Darko studied the Laplace transform and fundamental solution in (1.1).…”

“…In [2], Darko studied the Laplace transform and fundamental solution in (1.1). Chukwu [1] handled time optimal control, bang-bang control and stability for the neutral type. In fact, in the case of B j = 0, j = 1, 2,...,m in (1.1), Nakagiri [6] studied structural properties of the linear retarded system and dealt with control problems in a Banach spaces.…”

Fixed points and controllability in delay systems

“…It is well-known that such a delay factor, when properly controlled, can essentially improve system's qualitative and quantitative characteristics in many aspects. For historical background and discussion of applications, we refer the reader to the work of Balachandran and Sakthivel [1], Chukwu [4], Górniewicz and Nistri [8], and references therein. Equation (1.1) describes the state of a system (physical, chemical, economic, etc.)…”