This chapter is dedicated to the stability analysis of sampled-data linear time invariant systems with asynchronous sensors and aperiodic sampling. The study is performed using an input/output interconnection modelling, and tools from the robust control theory. Two approaches are presented. One is ...
Time delays are present in control systems (sensing, actuation and decision-making) or they are inherent parts of dynamical systems (chatter in metal machining, heredity in biology). Delays are known to cause detrimental effects to system behavior, but they also favor system performance, assist co...
In this chapter, the stability of linear time-invariant (LTI) systems is studied. Herein, Routh-Hurwitz table is applied to determine the stability status of the closed-loop system. In this chapter, the problems are categorized in different levels based on their difficulty levels (easy, normal...
Paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems are derived. .关键词: linear analysis stability criteria time ...
A kind of new linear matrix inequality (LMI)-based formulation is presented for multi-objective H∞/α-stability controller synthesis of linear time invariant (LTI) systems. New LMI-based conditions enable to parameterise controllers without involving the Lyapunov variables in the formulation. With th...
In particular, we are interested in switched linear systems, the subsystems of which are continuous-time linear time-invariant (LTI) systems (1) or a collection of discrete-time LTI systems (2) where the state and for all . Note that the origin is an equilibrium (maybe unstable) for the...
Therefore, for a causal LTI discrete-time system, all the poles of H(z) must lie inside the unit circle in the z-plane, i.e., the ROC of the system transfer function must include the unit circle. Time Domain Condition for the Stability of LTI Discrete-Time Systems For a system, when...
This work presents results on the stability of time-delay systems under reset control. The case of delay-dependent stability is addressed, by developing a generalization of previous stability results for reset systems without delay, and also a generalization of the delay-independent case. The stabili...
Robust stabilizing control laws for a class of second-order switched systems For a class of second-order switched systems consisting of two linear time-invariant (LTI) subsystems, we show that the so-called conic switching law propo...
This paper deals with the exponential stability analysis of decentralized, sampled-data, Linear Time Invariant (LTI) control systems with asynchronous sensors and actuators. We consider the case where each controller in the decentralized setting has its own sampling and actuation frequency, which ...