This paper focuses on the Popov generalized theory for a class of some linear systems including discrete and distributed delays. Sufficient conditions for stabilizing such systems as well as for coerciveness of an appropriate quadratic cost are developed. The obtained results are applied for the design of a memoiyless state feedback control law which guarantees the (exponential) closed-loop sta...

Design of stabilizing and time-optimal controllers for discrete-time linear systems with positive controls is revisited. Necessary and suucient conditions for stabilizability of this class of systems are given. A class of stabilizing controllers is designed. We show that a stabilizing time-optimal controller exists if the system is dead-beat controllable. We show by an example that there may al...

Research on control of non-linear systems over the years has produced many results: control based on linearization, global feedback linearization, non-linear H∞ control, sliding mode control, variable structure control, state dependent Riccati equation control, etc [5]. This chapter will focus on fuzzy control techniques. Fuzzy control systems have recently shown growing popularity in non-linea...

Abstract. In this paper, the existence and uniqueness of mild solution is initially obtained by use of measure of noncompactness and simple growth conditions. Then the conditions for approximate controllability are investigated for the distributed second-order neutral stochastic differential system with respect to the approximate controllability of the corresponding linear system in a Hilbert s...

The nonlinear L2 anti-windup framework introduced by Teel and Kapoor (1997) reduces the anti-windup synthesis problem to a state feedback synthesis problem for linear systems with input saturation and input matched L2 disturbances. In this paper, such a state feedback is synthesized using receding horizon optimal control techniques, and its equivalent piecewise affine closed-form is computed us...

As we have announced in the title of this work, we show that a broad class of linear evolution equations are exactly controllable. This class is represented by the following infinite dimensional linear control system: ż = Az + Bu(t), t > 0, z ∈ Z, u(t) ∈ U where Z, U are Hilbert spaces, the control function u belong to L2(0, t1; U), t1 > 0, B ∈ L(U,Z), A generates a strongly continuous semigrou...

Abstract In the article the problem of control of a linear dynamic system with a square coefficient of quality was introduced. Depending on knowledge we have about the parameters of system, the principles of control of the system under conditions of full and incomplete information as well as the differences in values of coefficients of quality were presented. Potential usage of the above mentio...

Local constrained controllability problems for nonlinear finite-dimensional discrete 1-D and 2-D control systems with constant coefficients are formulated and discussed. Using some mapping theorems taken from nonlinear functional analysis and linear approximation methods, sufficient conditions for constrained controllability in bounded domains are derived and proved. The paper extends the contr...

This paper proposes conditions on input-output stability of discrete-time reset systems by using some key dissipativity properties. In the continuoustime setting, dissipativity of the base linear system is preserved under reset actions if the storage function is decreasing at reset times. Indeed, when the reset system is full reset, the dissipativity of the base linear system ensures the dissip...