Displaying 21 – 40 of 50

Showing per page

Stability analysis and synthesis of systems subject to norm bounded, bounded rate uncertainties

Francesco Amato (2000)

Kybernetika

In this paper we consider a linear system subject to norm bounded, bounded rate time-varying uncertainties. Necessary and sufficient conditions for quadratic stability and stabilizability of such class of uncertain systems are well known in the literature. Quadratic stability guarantees exponential stability in presence of arbitrary time-varying uncertainties; therefore it becomes a conservative approach when, as it is the case considered in this paper, the uncertainties are slowly-varying in time....

Stability analysis of a three-dimensional energy demand-supply system under delayed feedback control

Kun-Yi Yang, Ling-Li Zhang, Jie Zhang (2015)

Kybernetika

This paper considers a three-dimensional energy demand-supply system which typically demonstrates the relationship between the amount of energy supply and that of energy demand for the two regions in China. A delayed feedback controller is proposed to stabilize the system which was originally unstable even under some other controllers. The stability properties of the equilibrium points are subsequently analyzed and it is found that the Hopf bifurcation appears under some conditions. By using the...

Stochastic controllability of linear systems with state delays

Jerzy Klamka (2007)

International Journal of Applied Mathematics and Computer Science

A class of finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with a single point delay in the state variables is considered. Using a theorem and methods adopted directly from deterministic controllability problems, necessary and sufficient conditions for various kinds of stochastic relative controllability are formulated and proved. It will be demonstrated that under suitable assumptions the relative controllability of an associated...

Stochastic controllability of systems with multiple delays in control

Jerzy Klamka (2009)

International Journal of Applied Mathematics and Computer Science

Finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with multiple point delays in control are considered. Using the notation, theorems and methods used for deterministic controllability problems for linear dynamic systems with delays in control as well as necessary and sufficient conditions for various kinds of stochastic relative controllability in a given time interval are formulated and proved. It will be proved that, under...

Currently displaying 21 – 40 of 50