Recent progress in the use of singular perturbation and two-time-scale methods of modeling
and design for control systems is reviewed. Over 350 references are organized into major …

This paper discusses typical applications of singular perturbation techniques to control
problems in the last fifteen years. The first three sections are devoted to the standard model …

Many realistic engineering systems are large in dimension and stiff for computation. Their
analysis and control require extensive numerical algorithms. The methodology of singular …

One presents a survey of the works on the theory of optimal control by deterministic objects,
described by systems of ordinary differential or difference equations, where the investigation …

This paper discusses typical applications of singular perturbation techniques to control
problems in the last fifteen years. The first three sections are devoted to the standard model …

A two-players zero-sum linear-quadratic differential game with the cheap control for the
minimizer (the player which minimizes the cost functional) is considered. An asymptotic …

The boundary-value problem for the set of functional-differential equations with partial
derivatives of Riccati type, associated with a singularly perturbed linear-quadratic optimal …

An infinite horizon linear-quadratic optimal control problem for a singularly perturbed system
with multiple point-wise and distributed small delays in the state variable is considered. The …

Using the direct scheme method, we construct an asymptotic expansion for the solution of a
singularly perturbed optimal problem in critical case with cheap control and two fixed end …

In this paper, we will introduce an approximate solution of nonhomogeneous Riccati matrix
differential equations with time delay using one of He's iterative methods, namely, variational …