The results are demonstrated by an example of a two-component system.doi:10.1155/S104895339000020XMartynyuk Anatoly A.Journal of Applied Mathematics and Stochastic AnalysisInternational Journal of Stochastic AnalysisA. A. Martynyuk. "Analysis of Stability Problems via Matrix Lyapunov Functions", Journal ...
Yang, Structured and simultaneous Lyapunov functions for system stability problems, Internat. J. Control 49 (6) (1989) 2215-2240.S. Boyd and Q. Yang, "Structured and simultaneous lyapunov functions for system stability problems", Int. J. Control , vol. 49, no. 6, pp. 2215-2240, 1989...
This class contains for example fluid networks under general work-conserving and priority disci-plines. Within this abstract framework a Lyapunov method for stability of GFN models was proposed by Ye and Chen. They proved that stability of a GFN model is equivalent to the property that for ...
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of x = Ax for some appropriate A. The existence of such a Lyapunov function can be determined by solvi...
The stability problems of IIDGs under large signal disturbances, such as large load variations and feeder faults, will cause serious impacts on the system. The virtual synchronous generator (VSG) control is an effective scheme for IIDGs to increase transient stability. However, the existing ...
In research work presented in this chapter, the online fault accommodation control problems under various system failures were investigated. The major interest was focused on dealing with the unanticipated system failures in the general formulation. Through discrete-time Lyapunov stability theory, the nece...
In the stability problem of autonomous SLSs (SLSs without an affine control input), it is assumed that the mode switchings are arbitrary, while in the (switching) stabilization problem, the mode is assumed to be controlled. A predominant approach to tackle these problems is to construct a ...
For a class of wave equations, a method of determining a suitable Lyapunov functional guaranteeing asymptotic stability is developed. The method is based on the construction of Lyapunov functions for ordinary differential equations. For a particular example, results identical to those determined from an...
On the Application of the Lyapunov Method to Synchronous Machine Stability The Lyapunov stability method is applied to two problems in the dynamic behaviour of round-rotor synchronous machines. In one case analytical results of a ... F Fallside,MR Patel - 《International Journal of Control》 被...
Many are stability problems that can be studied when dealing with dynamical systems. In this chapter, we will refer to a quite general time–invariant nonlinear system of the form (7.1)x˙=f(x,u) y=h(x,u) with x∈Rn the state vector, u∈Rm the input vector, y∈Rp the output ...