Displaying similar documents to “Szegő's first limit theorem in terms of a realization of a continuous-time time-varying systems”

On an invariant design of feedbacks for bilinear control systems of second order

Vasiliy Belozyorov (2001)

International Journal of Applied Mathematics and Computer Science

Similarity:

The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic...

Algebraic systems theory towards stabilization under parametrical and degree changes in the polynomial matrices of linear mathematical models.

Manuel de la Sen (1988)

Stochastica

Similarity:

This paper deals with the stabilization of the linear time-invariant finite dimensional control problem specified by the following linear spaces and subspaces on C: χ (state space) = χ ⊕ χ, U (input space) = U ⊕ U, Y (output space) = Y + Y, together with the linear mappings: Q = χ x U x [0,t} --> χ associated with the evolution equation of the C-semigroup S(t) generated by the matrices, of real and complex entries A belonging to L(χ,χ) and B belonging to L(U,χ) of a given differential...

A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching

Guisheng Zhai, Xuping Xu (2010)

International Journal of Applied Mathematics and Computer Science

Similarity:

We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions...