Observer-based deadbeat controllers: A polynomial design
On a class of linear delay systems often arising in practice
We study the tracking control of linear delay systems. It is based on an algebraic property named -freeness, which extends Kalman’s finite dimensional linear controllability and bears some similarity with finite dimensional nonlinear flat systems. Several examples illustrate the practical relevance of the notion.
On application of Rothe's fixed point theorem to study the controllability of fractional semilinear systems with delays
The paper presents finite-dimensional dynamical control systems described by semilinear fractional-order state equations with multiple delays in the control and nonlinear function . The relative controllability of the presented semilinear system is discussed. Rothe’s fixed point theorem is applied to study the controllability of the fractional-order semilinear system. A control that steers the semilinear system from an initial complete state to a final state at time is presented. A numerical...
On compositional and convolutional discrete systems
On diagonalization by dynamic output feedback
On exponentially discounted adaptive control
On finitary linear systems
On Fisher information inequalities and score functions in non-invertible linear systems.
On formulation of state equations for linear nonstationary discrete-time system
On generalized inverses of singular matrix pencils
Linear time-invariant networks are modelled by linear differential-algebraic equations with constant coefficients. These equations can be represented by a matrix pencil. Many publications on this subject are restricted to regular matrix pencils. In particular, the influence of the Weierstrass structure of a regular pencil on the poles of its inverse is well known. In this paper we investigate singular matrix pencils. The relations between the Kronecker structure of a singular matrix pencil and the...
On generalized Popov theory for delay systems
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 memoryless state feedback control law which guarantees the (exponential) closed-loop stability with an norm bound constraint on disturbance attenuation. Note that the proposed results extend...
On generic properties of linear systems: An overview
On genericity of complete controllability in the space of linear parametrized control systems
On global controllability of linear time dependent control systems
Let be a linear time dependent control process, defined on an open interval with and ; in this paper we give a description of the function , is -globally controllable from where with -globally controllable from .
On identical response of initially excited and relaxed linear discrete-time system
On inverse of linear discrete-time-varying system
On local and global controllability
On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays.
On modelling dynamic systems excited by the Dirac function
On obtaining the time-invariant associated system of a periodic system through system equivalence