Stability analysis of systems with impulse effects

Ye, H.; Michel, Anthony N.; Hou, Linlin

doi:10.1109/cdc.1996.574281

Cited by 21 publications

(3 citation statements)

References 4 publications

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“…(9) and (10), we have (11) Then the origin of system (1) is asymptotically stable. Case 1 When there are no actuator failures (i. e. all actuators are normal), the system trajectories are shown in Fig.…”

Section: ~V(x) (Lo)mentioning

confidence: 96%

Robust reliable control for a class of time-varying uncertain impulsive systems

Cheng

Gui

Gan

2005

J Cent. South Univ. Technol.

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The problem of robust and reliable control design for linear uncertain impulsive systems with both timevarying norm-bounded parameter uncertainty and actuator failures was studied. The actuators are classified into two groups. One set of actuators susceptible to failures is possible to fail, the other set of actuators robust to failures is assumed never to fail. The outputs of the actuator failures are regarded as zero. The purpose is to design the state feedback controller such that, for all admissible uncertainties as well as actuator failures occurring among a prespecifled subset of actuators, the plant remains asymptotically stable. A modified algebraic Riccati equation approach was developed to solve the problem addressed and a robust reliable control law was obtained. An numerical example was also offered to prove the effectiveness of the proposed method.

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Section: ~V(x) (Lo)mentioning

confidence: 96%

Robust reliable control for a class of time-varying uncertain impulsive systems

Cheng

Gui

Gan

2005

J Cent. South Univ. Technol.

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“…An important special class of finite-dimensional DDS determined by (8) includes impulsive dynamical systems [2]- [5]. For such systems we have in (8),…”

Section: Discontinuous Dynamical Systemsmentioning

confidence: 99%

“…DDS arise in the modeling process of a variety of systems, including impulsive dynamical systems [2]- [5], switched systems [4], [6]- [8], dynamical systems endowed with logic elements [9], [10], discrete-event systems [1], [9], [10], systems with unilateral constraints [11], and motion control systems [12]. Many of these, but not all, constitute special cases of HDS [3], [6], [9], [10], [12]- [16].…”

Section: Introductionmentioning

confidence: 99%

Stability of Dynamical Systems with Discontinuous Motions:

Michel¹,

Hou

2008

SICE Journal of Control, Measurement, and System Integration

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In this paper we present a stability theory for discontinuous dynamical systems (DDS): continuous-time systems whose motions are not necessarily continuous with respect to time. We show that this theory is not only applicable in the analysis of DDS, but also in the analysis of continuous dynamical systems (continuous-time systems whose motions are continuous with respect to time), discrete-time dynamical systems (systems whose motions are defined at discrete points in time) and hybrid dynamical systems (HDS) (systems whose descriptions involve simultaneously continuoustime and discrete-time). We show that the stability results for DDS are in general less conservative than the corresponding well-known classical Lyapunov results for continuous dynamical systems and discrete-time dynamical systems. Although the DDS stability results are applicable to general dynamical systems defined on metric spaces (divorced from any kind of description by differential equations, or any other kinds of equations), we confine ourselves to finite-dimensional dynamical systems defined by ordinary differential equations and difference equations, to make this paper as widely accessible as possible. We present only sample results, namely, results for uniform asymptotic stability in the large.

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