In this paper the problem of local exponential stability of periodic orbits in a general class of forced nonlinear systems is considered. Some lower bounds for the degree of local exponential stability of a given periodic solution are provided by mixing results concerning the analysis of linear time varying systems and the real parametric stability margin of uncertain linear time invariant syst...

We address the problem of regulating a subset of outputs of a linear time-invariant plant with multi-rate measurements so as to achieve asymptotic tracking of an exogenous signal generated by the free motion of a linear time-invariant system, denoted by exosystem. A solution to this problem is required to yield closed-loop stability and should be such that output regulation is achieved even in ...

By using a Sylvester equation based parametrization, the minimum norm robust pole assignment problem for linear time-invariant systems is formulated as an unconstrained minimization problem for a suitably chosen cost function. The derived explicit expression of the gradient of the cost function allows the efficient solution of the minimization problem by using powerful gradient search based min...

The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval time-varying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.

A two-dimensional linear time invariant arises in image processing and geophysics for processing seismic, gravity as well as magnetic data. Two dimensional recursive filters in the frequency domain poses a great challenge in its stability which affects the output that need to be very accurate. Many algebraic schemes are on hand to test the stability of two-dimensional systems. A typical algebra...

In this paper, we investigate how nonminimum phase characteristics of a dynamical system affect its controllability and tracking properties. For the class of linear time-invariant dynamical systems, these characteristics are determined by transmission zeros of the inner factor of the system transfer function. The relation between nonminimum phase zeros and Hankel singular values of inner system...

Recently, a new approach to the adaptive control of linear time-invariant plants with unknown parameters (referred to as second level adaptation), was introduced by Han and Narendra in [1]. Based on N(≥ m+1) fixed or adaptive models of the plant, where m is the dimension of the unknown parameter vector, an unknown parameter vector α ∈ R is estimated in the new approach, and in turn, is used to ...

In a general sense, observation is the problem of finding estimates for the current values of a set of signals given the current and the past values of another set of signals, where both signal sets are interconnected by the action of a dynamical system. In the work of Luenberger [6, 7] a method is described how this can be done in the context of linear time-invariant control systems, where the...

The aim of this paper is to give an algebraic characterization of the family of static state feedbacks which decouple the disturbance, in a linear time invariant system, and which give rise to the minimal set of closed-loop fixed poles, while insuring the maximum of free degrees in terms of pole placement.

In this paper, we address the problem of globally stabilizing a linear time-invariant (LTI) system by means of a static feedback law whose amplitude and successive time derivatives, up to a prescribed order p, are bounded by arbitrary prescribed values. We solve this problem for two classes of LTI systems, namely integrator chains and skew-symmetric systems with single input. For the integrator...