Solution in large of control problem
Solution properties of linear descriptor (singular) matrix differential systems of higher order with (non-) consistent initial conditions.
Some properties of sheaf-solutions of sheaf fuzzy control problems.
Stability analysis and intermittent control synthesis of a class of uncertain nonlinear systems.
Stability analysis of a three-dimensional energy demand-supply system under delayed feedback control
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...
Stability analysis of sliding-mode feedback control
Stability analysis of the five-dimensional energy demand-supply system
In this paper, a five-dimensional energy demand-supply system has been considered. On the one hand, we analyze the stability for all of the equilibrium points of the system. For each of equilibrium point, by analyzing the characteristic equation, we show the conditions for the stability or instability using Routh-Hurwitz criterion. Then numerical simulations have been given to illustrate all of cases for the theoretical results. On the other hand, by introducing the phenomenon of time delay, we...
Stability and boundedness of controllable continuous flows
In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.
Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case
This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov...
Stability results for switched linear systems with constant discrete delays.
Stabilizability and disturbance rejection with state-derivative feedback.
Stabilizing the chaotic dynamics of the Lü system.
Strong decoupling of descriptor systems via proportional state feedback
Suboptimal performance criterion sensitivity of large-scale decentralized control systems
Switchings of optimal controls and the equation ,
Synchronization of chaotic fractional-order WINDMI systems via linear state error feedback control.
Synthesis of chaotic systems
Synthesis of optimal control for nonlinear third order systems [Book]
The algebraic Riccati equation with Toeplitz matrices as coefficients.
The boundary crossing theorem and the maximal stability interval.