Stability of a shift-variant 2-D state-space digital filter

被引:1
|
作者
Mabey, GW [1 ]
Bose, T [1 ]
Chen, M [1 ]
机构
[1] Utah State Univ, Ctr High Speed Informat Proc, Dept Elect & Comp Engn, Logan, UT 84322 USA
来源
2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS | 2005年
关键词
D O I
10.1109/ISCAS.2005.1464648
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Sufficient conditions for stability of time-varying 1-D systems are already well established. This work treats the 2-D case in an approach that parallels that of the 1-D, yet at the same time reveals the heightened complexity of the extension. When "double exponential stability" is guaranteed for a certain set of homogeneous equations, the 2-D system is BIBO stable. The result applies to a generalized form of the Givone-Roesser state-space equations.
引用
收藏
页码:556 / 559
页数:4
相关论文
共 50 条
  • [1] Robust asymptotic stability of 2-D shift-variant discrete state-space systems
    Yost, SA
    Bauer, PH
    38TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, PROCEEDINGS, VOLS 1 AND 2, 1996, : 482 - 485
  • [2] Analysis of 2-D state-space periodically shift-variant discrete systems
    Rajan, S
    Joo, KS
    Bose, T
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1996, 15 (03) : 395 - 413
  • [3] Stability of Shift-Varying 2-D State-Space Digital Filters
    Mabey, Glen W.
    Bose, Tamal
    Chen, Mei-Qin
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2012, 59 (07) : 1431 - 1444
  • [4] Exponential stability of 2-D slowly shift-variant systems
    Fan, HJ
    Wen, CY
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 3637 - 3642
  • [5] Stability analysis of 2-D state-space digital filters with overflow nonlinearities
    Kar, H
    Singh, V
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04): : 598 - 601
  • [6] STABILITY AND OVERFLOW OSCILLATIONS IN 2-D STATE-SPACE DIGITAL-FILTERS
    LODGE, JH
    FAHMY, MM
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1981, 29 (06): : 1161 - 1171
  • [7] Stability of 2-D periodic state-space filters
    Thamvichai, R
    Bose, T
    2002 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I-IV, PROCEEDINGS, 2002, : 3549 - 3552
  • [8] Stability of 2-D periodically shift variant digital filters
    Bose, T
    Chen, MQ
    Joo, KS
    Xu, GF
    ISCAS '97 - PROCEEDINGS OF 1997 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS I - IV: CIRCUITS AND SYSTEMS IN THE INFORMATION AGE, 1997, : 2449 - 2452
  • [9] New results on saturation overflow stability of 2-D state-space digital filters
    Agarwal, Neha
    Kar, Haranath
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (12): : 2743 - 2760
  • [10] Global Asymptotic Stability of 2-D Digital Filters With a Saturation Operator on the State-Space
    Kandanvli, V. Krishna Rao
    Kar, Haranath
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2020, 67 (11) : 2742 - 2746