Name
Title | ||
|---|---|---|
Stability analysis of two-dimensional systems by means of finitely constructed bilateral quadratic forms |
Abstract | ||
|---|---|---|
Asymptotic stability of two-dimensional (2-D) systems in the state-space representation is studied. The concept of finitely constructed bilateral quadratic forms is introduced for the set of bilateral sequences of vectors, and the positivity of a bilateral quadratic form is characterized in terms of the solvability of an algebraic Riccati matrix inequality. A Lyapunov-like stability analysis of 2-D systems is conducted by resorting to positivity tests for a sequence of bilateral quadratic forms generated by a recurrence formula. The effectiveness is proved in an illustrative example. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1109/TAC.2004.837532 | Automatic Control, IEEE Transactions |
Keywords | Field | DocType |
Riccati equations,asymptotic stability,linear matrix inequalities,multidimensional systems,state-space methods,algebraic Riccati matrix inequality,asymptotic stability,bilateral quadratic form,state-space representation,two-dimensional system,65,Algebraic Riccati matrix inequalities,positive bilateral quadratic forms,stability robustness analysis,state-space stability,two-dimensional systems | ε-quadratic form,Isotropic quadratic form,Lyapunov function,Mathematical optimization,Quadratic form,Matrix (mathematics),Control theory,Exponential stability,Riccati equation,Quadratic field,Mathematics | Journal |
Volume | Issue | ISSN |
49 | 11 | 0018-9286 |
Citations | PageRank | References |
4 | 0.69 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ooba, T. | 1 | 5 | 1.07 |
| Yasuyuki Funahashi | 2 | 42 | 11.27 |