Loading...
Please wait, while we are loading the content...
Similar Documents
Lyapunov stability of two-dimensional digital filters with overflow nonlinearities (1998).
| Content Provider | CiteSeerX |
|---|---|
| Author | Liu, Derong |
| Abstract | In the present paper, the Second Method of Lyapunov is utilized to establish sufficient conditions for the global asymptotic stability of the trivial solution of zeroinput 2--D (two-dimensional) Fornasini-Marchesini statespace digital filters which are endowed with a general class of overflow nonlinearities. Results for the global asymptotic stability of the null solution of the 2--D Fornasini-Marchesini second model with overflow nonlinearities are established. Several classes of Lyapunov functions are used in establishing the present results including vector norms and the quadratic form. When the quadratic form Lyapunov functions are considered, the present results involve necessary and sufficient conditions under which positive definite matrices can be used to generate Lyapunov functions for 2--D digital filters with overflow nonlinearities. I. Introduction C ONSIDER zero-input 2--D (two-dimensional) nonlinear digital filters described by x(k + 1; l + 1) = f [A 1 x(k; l + 1) + A ... |
| File Format | |
| Publisher Date | 1998-01-01 |
| Access Restriction | Open |
| Subject Keyword | Overflow Nonlinearities Two-dimensional Digital Filter Lyapunov Stability Lyapunov Function Sufficient Condition Digital Filter Present Result Global Asymptotic Stability Second Method Present Paper Fornasini-marchesini Statespace Digital Filter Quadratic Form Lyapunov Function Introduction Onsider Zero-input Null Solution Several Class Trivial Solution Vector Norm Quadratic Form Fornasini-marchesini Second Model General Class Positive Definite Matrix |
| Content Type | Text |
