This thesis first introduces stochastic disturbance factor into a model and has a discussion of it on the basis of a predator-prey system of three species with age-structure proposed by Zhixue Luo. Sufficient conditions of a stochastic disturbance predator-prey system of three species with age-structure have been given and exponential stability of strong solution has been proved according to Gr...

Given a linear switched system composed of both Hurtwiz stable and unstable subsystems, and with additive unknown constant disturbance, a switching law with average dwell time between Hurwitz stable and unstable subsystems is proposed, together with an adaptive algorithm to compensate the unknown additive disturbance. Using Lyapunov theory, exponential stability of a desired degree of the plant...

This paper is concerned with disturbance rejection analysis of structured uncertain Lur’e systems through invariant set analysis using Lyapunov function method. The conditions on robust ellipsoidal attractor for uncertain Lur’e systems are presented in terms of LMIs, which simultaneously ensure absolute stability and disturbance rejection of Lur’e systems. An estimate of the maximum set include...

We present a new stabilization approach for nonlinear plants with a long input delay. The stabilization problem is complicated by the influence of an uncertain biased sinusoidal disturbance. The problem of control design is solved with using measurable state variables. The adaptive scheme allows to identify the frequency and other parameters of the external disturbance that are used in a reject...

Using Lyapunov stability theory, an adaptive backstepping controller is presented in this paper for optimal descent tracking. Unlike the traditional approach, the proposed control law can cope with input saturation and failure which enables the embedded autonomy of lander system. In addition, this control law can also restrain the unknown bounded terms (i.e., disturbance). To show the controlle...

The high resolution and low measurement uncertainty goals for next generation atmospheric sounders will require FTSbased spectrometers which exhibit improved velocity stability and disturbance rejection over previous systems. This paper documents the characterization of and improvements made to existing SDL FTS systems as part of an internal study to meet the demands of future missions. Improve...

In this paper, we propose a new robustness notion that is applicable for certifying systems’ safety with respect to external disturbance signals. The proposed input-to-state safety (ISSf) notion allows us to certify systems’ safety in the presence of the disturbances which is analogous to the notion of input-to-state stability (ISS) for analyzing systems’ stability.

The energy-Casimir method is applied to the problem of symmetric stability in the context of a compressible, hydrostatic planetary atmosphere with a general equation of state. Formal stability criteria for symmetric disturbances to a zonally symmetric baroclinic flow are obtained. In the special case of a perfect gas the results of Stevens (1983) are recovered. Finite-amplitude stability condit...

This paper proposes a robust adaptive control method for synchronization of uncertain chaotic neural networks with mixed delays. Uncertainty and disturbance in the networks are estimated by fuzzy disturbance observer without any prior information about them. The proposed control scheme with adaptive laws is derived based on Lyapunov–Krasovskii stability theory to guarantee the globally asymptot...

A power system is considered to be transiently stable if it can regain and maintain synchronism after a sudden disturbance. Circuit breakers play a pivotal role in maintaining transient stability of power systems. Using high speed circuit breakers, transient stability can be achieved efficiently in power systems. The project has aimed at the improvement of the transient stability using high spe...