Small Gain Theorems for General Networks of Heterogeneous Infinite-Dimensional Systems

SIAM Journal on Control and Optimization ◽

10.1137/19m1238502 ◽

2021 ◽

Vol 59 (2) ◽

pp. 1393-1419

Author(s):

Andrii Mironchenko

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

General Networks

Download Full-text

Circle criteria, small-gain conditions and internal stability for infinite-dimensional systems

10.1016/0005-1098(91)90058-a ◽

1991 ◽

Vol 27 (4) ◽

pp. 677-690 ◽

Author(s):

Hartmut Logemann

Keyword(s):

Internal Stability ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Download Full-text

A Nonlinear Small-Gain Theorem for Large-Scale Infinite-Dimensional Systems

Journal of Systems Science and Complexity ◽

10.1007/s11424-018-7376-5 ◽

2018 ◽

Vol 31 (1) ◽

pp. 188-199 ◽

Author(s):

Adiya Bao ◽

Tengfei Liu ◽

Zhong-Ping Jiang ◽

Lina Zhang

Keyword(s):

Large Scale ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Small Gain Theorem ◽

Download Full-text

The Nehari problem for discrete-time infinite-dimensional systems

2007 European Control Conference (ECC) ◽

10.23919/ecc.2007.7068467 ◽

2007 ◽

Author(s):

Ruth F. Curtain ◽

Mark R. Opmeer

Keyword(s):

Discrete Time ◽

Nehari Problem ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

Dynamics of Infinite Dimensional Systems

10.1007/978-3-642-86458-2 ◽

1987 ◽

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

Lyapunov functions for input-to-state stability of infinite-dimensional systems with integrable inputs

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.1222 ◽

2020 ◽

Vol 53 (2) ◽

pp. 5336-5341

Author(s):

Andrii Mironchenko

Keyword(s):

Lyapunov Functions ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

Solution of H∞ control problem for hybrid periodic infinite dimensional systems and general quadratic forms I

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272669 ◽

2004 ◽

Author(s):

N.E. Barabanov

Keyword(s):

Control Problem ◽

Quadratic Forms ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

Inference over heterogeneous finite-/infinite-dimensional systems using factor graphs and Gaussian processes

2014 IEEE International Conference on Robotics and Automation (ICRA) ◽

10.1109/icra.2014.6907015 ◽

2014 ◽

Author(s):

David M. Rosen ◽

Guoquan Huang ◽

John J. Leonard

Keyword(s):

Gaussian Processes ◽

Factor Graphs ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

Hankel operators for non-exponentially stabilizable infinite dimensional systems

Systems & Control Letters ◽

10.1016/0167-6911(90)90115-b ◽

1990 ◽

Vol 15 (3) ◽

pp. 221-226 ◽

Author(s):

Bert van Keulen

Keyword(s):

Hankel Operators ◽

Infinite Dimensional ◽

Infinite Dimensional Systems

Download Full-text

The Optimal Projection Equations for Finite-Dimensional Fixed-Order Dynamic Compensation of Infinite-Dimensional Systems

SIAM Journal on Control and Optimization ◽

10.1137/0324006 ◽

1986 ◽

Vol 24 (1) ◽

pp. 122-151 ◽

Author(s):

Dennis S. Bernstein ◽

David C. Hyland

Keyword(s):

Dynamic Compensation ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Finite Dimensional ◽

Optimal Projection ◽

Fixed Order ◽

Projection Equations

Download Full-text

Feedback invariance of SISO infinite-dimensional systems

Mathematics of Control Signals and Systems ◽

10.1007/s00498-007-0021-9 ◽

2007 ◽

Vol 19 (4) ◽

pp. 313-335 ◽

Author(s):

Kirsten Morris ◽

Richard Rebarber

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Feedback Invariance

Download Full-text