We analyze the existence and uniqueness of the optimal control for a class of exactly controllable linear systems. We are interested in the minimization of time, energy and final manifold in transfer problems. The state variables space X and, respectively, the control variables space U, are considered to be Hilbert spaces. The linear operator T(t) which defines the solution of the linear contro...

A discrete-time linear optimal control problem with given initial and terminal times, state-control constraints, and variable end points is set forth. Corresponding to this primal control problem, or maximization problem, is a dual linear control problem, or minimization problem. The fundamental properties of duality are stated. A dual maximum principle is proved with the aid of the duality the...

this paper presents h∞ control problem for input-delayed systems. a neutral system approach is considered to the design of pd controller for input delay systems in presence of uncertain time-invariant delay. using this approach, the resulting closed-loop system turns into a specific time-delay system of neutral type. the significant specification of this neutral system is that its delayed coeff...

in this study, a robust controller is designed for fuzzy network control systems (ncss) using the static output feedback. delay and data packet dropout affect on the stability of network control systems, and therefore, the asymptotic stability condition is established considering delay and data packet dropout. delay is time-varying while the lower and upper bounds for delay is defined, and the ...

We discuss a number of novel issues in the interdisciplinary area of numerical linear algebra and systems and control theory. Although we do not claim to be exhaustive we give a number of \upcoming issues" which we believe will play an important role in the near future. These are : sparse matrices, structured matrices, novel matrix decompositions and numerical shortcuts. Each of those is presen...

In this paper, we present a novel method for the robust control problem of uncertain nonlinear discrete-time linear systems with sector and slope restrictions. The nonlinear function considered in this paper is expressed as convex combinations of sector and slope bounds. Then the equality constraint is derived by using convex properties of the nonlinear function. A stabilization criterion for t...

In this paper we show that, by casting the error dynamics of an adaptive control system into a Linear Parameter Varying form, we can apply linear matrix inequality techniques and calculate stability margins for adaptive control systems. More precisely, by taking the viewpoint that nonlinear systems, in particular some classes of adaptive controllers, can be parameterized by a set of linear syst...

The paper presents a method to assure stability of the fuzzy control systems of the second order processes, based on a compensation of the input-output characteristic of the fuzzy blocks used in the PI fuzzy controllers. For this purpose is acting at the correction of the fuzzy control law by the action in parallel of a crisp block. Stability analysis of the control systems of the second order ...