Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems

被引：0
|
作者：
Haddad, WM [1 ]
Chellaboina, V [1 ]
机构：
[1] Georgia Inst Technol, Sch Aerosp Engn, Atlanta, GA 30332 USA
来源：
PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2000年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper ne develop a unified framework for a general class of dynamical systems possessing left-continuous hows; that is, left-continuous dynamical systems. These systems are shown to generalize virtually all existing notions of dynamical systems and include hybrid and impulsive dynamical systems as special cases. Furthermore, we generalize dissipativity theory to left-continuous dynamical systems. Finally, the generalized dissipativity notions are used to develop general stability criteria for feedback interconnections of left-continuous systems. These results generalize the positivity and small gain theorems to the case of left-continuous, hybrid, and impulsive dynamical systems.
引用
收藏
页码：2688 / 2694
页数：7
相关论文
共 50 条
  • [41] From Dissipativity Theory to Compositional Abstractions of Interconnected Stochastic Hybrid Systems
    Awan, Asad Ullah
    Zamani, Majid
    IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2020, 7 (01): : 433 - 445
  • [42] Adaptive control of unactuated dynamical systems through interconnections: Stability and performance guarantees
    Gruenwald, Benjamin C.
    Yucelen, Tansel
    Chakravarthy, Animesh
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2020, 34 (04) : 484 - 502
  • [43] Non-linear impulsive dynamical systems. Part I: Stability and dissipativity
    Haddad, WM
    Chellaboina, V
    Kablar, NA
    INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (17) : 1631 - 1658
  • [44] On Adaptive Control of Unactuated Dynamical Systems through Interconnections with Stability and Performance Guarantees
    Gruenwald, Benjamin C.
    Yucelen, Tansel
    Chakravarthy, Animesh
    2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 595 - 600
  • [45] Robust dissipativity for uncertain impulsive dynamical systems
    Liu, B
    Liu, X
    Liao, X
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2003, (3-4) : 119 - 128
  • [46] Hybrid dynamical systems and digital implementation of feedback laws
    Aguilar, JLM
    García, RA
    Troparevsky, MI
    LATIN AMERICAN APPLIED RESEARCH, 2000, 30 (03) : 193 - 200
  • [47] Dissipativity of Multistep Methods for Delay Dynamical Systems
    Chengming HUANG (Graduate School of China Academy of Engineering Physics
    Communications in Nonlinear Science & Numerical Simulation, 1999, (01) : 72 - 75
  • [48] Dissipativity Theory for Nonlinear Stochastic Dynamical Systems: Input-Output and State Properties
    Rajpurohit, Tanmay
    Haddad, Wassim M.
    2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 2965 - 2970
  • [49] Issues on stability of ADP feedback controllers for dynamical systems
    Balakrishnan, S. N.
    Ding, Jie
    Lewis, Frank L.
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (04): : 913 - 917
  • [50] Stability of a certain class of hybrid dynamical systems
    Aguilar, JLM
    García, RA
    Troparevsky, MI
    INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (15) : 1362 - 1374
12345