Nonlinear approximation in control problems
Nonlinear control of chaotic systems: a switching manifold approach.
Nonlinear diagnostic filter design: algebraic and geometric points of view
The problem of diagnostic filter design is studied. Algebraic and geometric approaches to solving this problem are investigated. Some relations between these approaches are established. New definitions of fault detectability and isolability are formulated. On the basis of these definitions, a procedure for diagnostic filter design is given in both algebraic and geometric terms.
Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C
Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.
Null controllability of nonlinear infinite neutral system
Null controllability of some impulsive evolution equation in a Hilbert space.
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