Uniform stability of large-scale delay discrete impulsive systems

2009 ◽  
Vol 82 (2) ◽  
pp. 228-240 ◽  
Author(s):  
Bin Liu ◽  
David J. Hill
Keyword(s):  
Large Scale ◽  
Uniform Stability ◽  
Impulsive Systems

scholarly journals Vector dissipativity theory for large-scale impulsive dynamical systems

2004 ◽  
Vol 2004 (3) ◽  
pp. 225-262 ◽  
Author(s):  
Wassim M. Haddad ◽  
VijaySekhar Chellaboina ◽  
Qing Hui ◽  
Sergey Nersesov
Keyword(s):  
Dynamical Systems ◽  
Large Scale ◽  
Impulsive System ◽  
Vector System ◽  
Solution Properties ◽  
Impulsive Systems ◽  
Large Scale Systems ◽  
Vector Lyapunov Functions ◽  
The Individual ◽  
Stability Results

Modern complex large-scale impulsive systems involve multiple modes of operation placing stringent demands on controller analysis of increasing complexity. In analyzing these large-scale systems, it is often desirable to treat the overall impulsive system as a collection of interconnected impulsive subsystems. Solution properties of the large-scale impulsive system are then deduced from the solution properties of the individual impulsive subsystems and the nature of the impulsive system interconnections. In this paper, we develop vector dissipativity theory for large-scale impulsive dynamical systems. Specifically, using vector storage functions and vector hybrid supply rates, dissipativity properties of the composite large-scale impulsive systems are shown to be determined from the dissipativity properties of the impulsive subsystems and their interconnections. Furthermore, extended Kalman-Yakubovich-Popov conditions, in terms of the impulsive subsystem dynamics and interconnection constraints, characterizing vector dissipativeness via vector system storage functions, are derived. Finally, these results are used to develop feedback interconnection stability results for large-scale impulsive dynamical systems using vector Lyapunov functions.

Input-to-state stability for large-scale stochastic impulsive systems with state delay

2021 ◽  
pp. 1-32
Author(s):  
Mohamad S. Alwan ◽  
Xinzhi Liu ◽  
Taghreed G. Sugati ◽  
Humeyra Kiyak
Keyword(s):  
Large Scale ◽  
Impulsive Systems ◽  
State Delay

scholarly journals Review of Some Control Theory Results on Uniform Stability of Impulsive Systems

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1186 ◽  
Author(s):  
Bin Liu ◽  
Bo Xu ◽  
Guohua Zhang ◽  
Lisheng Tong
Keyword(s):  
Asymptotic Stability ◽  
Control Theory ◽  
Hybrid Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Uniform Stability ◽  
Impulsive Systems ◽  
Uniform Asymptotic Stability ◽  
Stability Results ◽  
Stability Concepts

This paper aims to review some uniform stability results for impulsive systems. For the review, we classify the models of impulsive systems into time-based impulsive systems and state-based ones, including continuous-time impulsive systems, discrete-time impulsive systems, stochastic impulsive systems, and impulsive hybrid systems. According to these models, we review, respectively, the related stability concepts and some representative results focused on uniform stability, including the results on uniform asymptotic stability, input-to-state stability (ISS), KLL -stability (uniform stability expressed by KLL -functions), event-stability, and event-ISS. And we formulate some questions for those not fully developed aspects on uniform stability at each subsection.

Design of distributed functional interval observers for large-scale networks impulsive systems

2021 ◽  
pp. 014233122110226
Author(s):  
Dinh Cong Huong ◽  
Dao Thi Hai Yen ◽  
Mai Viet Thuan
Keyword(s):  
State Vector ◽  
Large Scale ◽  
Design Method ◽  
Linear Functions ◽  
Effective Algorithm ◽  
Impulsive Systems ◽  
Simulation Results ◽  
Large Scale Networks ◽  
Interval Observers ◽  
Bounded Uncertainties

In this paper, we consider the problem of designing distributed functional interval observers (IOs) for a class of large-scale networks impulsive systems with bounded uncertainties. We first design IOs for linear functions of the state vector of each system of the considered system. We then provide conditions for the existence of such IOs and an effective algorithm for computing unknown observer matrices. Finally, two examples and simulation results are given to illustrate the effectiveness of the proposed design method.

Sign in / Sign up

Export Citation Format

Share Document