Observability of small solutions of linear differential-algebraic systems with delays
Odvození podmínek pro změnu struktury regulačního obvodu
On a problem of evasion
On a Theorem by W. Hahn.
On adaptive control of Markov processes
On delay-dependent robust stability under model transformation of some neutral systems
This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust stability...
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 genericity of complete controllability in the space of linear parametrized control systems
On Lagrangian systems with some coordinates as controls
Let be a constrained mechanical system locally referred to state coordinates . Let be an assigned trajectory for the coordinates and let be a scalar function of the time, to be thought as a control. In [4] one considers the control system , which is parametrized by the coordinates and is obtained from by adding the time-dependent, holonomic constraints . More generally, one can consider a vector-valued control which is directly identified with . If one denotes the momenta conjugate...
On optimal control of systems with interface side conditions
On possibilities of the practical implementation of balance-based adaptive control methodology
On practical stability and optimal stabilization of controlled motion
On some asymptotic minimum problems
On the analysis of periodic linear systems
On the boundedness of the solutions of the continuous Riccati equation.
On the continuous dependence of trajectories of bilinear systems on controls and its applications
On the controllability of a type of large scale CNN with delays.
On the dependence of solutions upon the right hand side of an ordinary differential equation.
On the dynamics of a vaccination model with multiple transmission ways
In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number below unity....
On the existence of equations of evolution.