Concepedia

Stability of 2-D systems described by the fornasini-marchesini first model

IEEE Transactions on Signal Processing · 2003 · 76 citations · 10 references

Concepts

EngineeringPhysicsDiscrete Dynamical SystemNumerical SimulationSufficient ConditionSystem StabilityFirst ModelGeometric Singular Perturbation TheoryBifurcation TheoryLyapunov Analysis2-D SystemsStability AnalysisStability

Abstract

A sufficient condition for the stability of linear two-dimensional (2-D) systems described by the Fornasini-Marchesini (1976) first model is presented. The condition is compared with previously reported conditions.

References

10

Doubly-indexed dynamical systems: State-space models and structural properties

Ettore Fornasini, G. Marchesini · Theory of Computing Systems · 1978 · 1K citations

Deterministic Dynamical System, Discrete Dynamical System, Doubly-indexed Dynamical Systems +2

The LMI control toolbox

P. Gahinet, Alan J. Laub, M. Chilali · 2002 · 840 citations

Engineering, Industrial Control System, Intelligent Systems +19

State-space realization theory of two-dimensional filters

Ettore Fornasini, G. Marchesini · IEEE Transactions on Automatic Control · 1976 · 675 citations

Power Series, Realization Problem, State-space Realization Theory +9

2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model

Takao Hinamoto · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1993 · 186 citations

Nonlinear Control, Lyapunov Analysis, Filter (Signal Processing) +11

Stability of 2-D discrete systems described by the Fornasini-Marchesini second model

Takao Hinamoto · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1997 · 142 citations

Saturation Arithmetic, Physics, Discrete Dynamical System +10