A control operator and some of its applications

On Construction of A Control Operator Applied To Conjugate Gradient Method in Solving Continuous Time Linear Regulator Problems with Delay-I

“…It follows from here that, while [5] constructed an operator for CLRP, [2] focuses on same class of optimal control problem but with delay parameter in the state variable. The construction of this control operator, G, helps to bridge the gap between Bolza problems and CLRP with delay parameter.…”

“…Although, the construction of such similar operator is not new. For instance, in [5] and [2], the authors constructed the control operator for the following related problem respectively as: …”

On Construction of A Control Operator Introduced To ECGM Algorithm for Solving Discrete-Time Linear Quadratic Regulator Control Systems with Delay-I

“…It follows from here that, while [9] constructed an operator for CLRP, [2] focuses on same class of optimal control problem but with delay parameter in the state variable. The construction of this control operator, G, helps to bridge the gap between Bolza problems and CLRP with delay parameter via discretization of the continuous linear regulator problem.…”

On existence of control for a class of uncertain dynamical systems

“…Worthy of mention is the achievement made in 1983, when the extended conjugate gradient method, was developed to handle problems in control theory (Ibiejugba, & Onumanyi (1984). Also the convergence estimate of the technique in the upper direction had been established in the work of Ibiejugba & Onumanyi (1984) and recently, the lower bound convergent estimate was attempted in Ibiejugba & Abiola (1985). In this work, a little investigation is made on the algorithm to allow it being applied to the class of problem defined in (1)- (3) Now recall equation (20) and define it by:…”