STRUCTURED ROBUST STABILITY AND BOUNDEDNESS OF NONLINEAR HYBRID DELAY SYSTEMS

被引：39

作者：

Fei, Weiyin ^{[1
]}

Hu, Liangjian ^{[2
]}

Mao, Xuerong ^{[3
]}

Shen, Mingxuan ^{[1
,4
]}

机构：

[1] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Anhui, Peoples R China

[2] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

[3] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland

[4] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2018年 / 56卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

hybrid SDDEs; robust stability; robust boundedness; Brownian motion; Markov chain; JUMP LINEAR-SYSTEMS; FEEDBACK-CONTROL; EQUATIONS; RADII;

D O I：

10.1137/17M1146981

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Taking different structures in different modes into account, the paper has developed a new theory on the structured robust stability and boundedness for nonlinear hybrid stochastic differential delay equations (SDDEs) without the linear growth condition. A new Lyapunov function is designed in order to deal with the effects of different structures as well as those of different parameters within the same modes. Moreover, a lot of effort is put into showing the almost sure asymptotic stability in the absence of the linear growth condition.

引用

页码：2662 / 2689

页数：28

共 28 条

[1] PARAMETER SPACE DESIGN OF ROBUST CONTROL-SYSTEMS
ACKERMANN, J
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (06) : 1058 - 1072
[2] [Anonymous], 2007, STOCHASTIC DIFFERENT
[3] Bahar A., 2008, J APPL PROBAB STAT, V3, P37
[4] Stability of a random diffusion with linear drift
Basak, GK
Bisi, A
Ghosh, MK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (02) : 604 - 622
[5] BERMAN A., 1994, CLASSICS APPL MATH S, V9, DOI [10.1137/1.9781611971262, DOI 10.1137/1.9781611971262]
[6] Constrained quadratic state feedback control of discrete-time Markovian jump linear systems
Costa, OLV
Assumpcao, EO
Boukas, EK
Marques, RP
[J]. AUTOMATICA, 1999, 35 (04) : 617 - 626
[7] ASYMPTOTIC STABILITY OF LINEAR ITO EQUATION IN INFINITE DIMENSIONS
HAUSSMANN, UG
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 65 (01) : 219 - 235
[8] A NOTE ON SOME DIFFERENCES BETWEEN REAL AND COMPLEX STABILITY RADII
HINRICHSEN, D
PRITCHARD, AJ
[J]. SYSTEMS & CONTROL LETTERS, 1990, 14 (05) : 401 - 408
[9] STABILITY RADII OF LINEAR-SYSTEMS
HINRICHSEN, D
PRITCHARD, AJ
[J]. SYSTEMS & CONTROL LETTERS, 1986, 7 (01) : 1 - 10
[10] Robust Stability and Boundedness of Nonlinear Hybrid Stochastic Differential Delay Equations
Hu, Liangjian
Mao, Xuerong
Zhang, Liguo
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (09) : 2319 - 2332

← 1 2 3 →