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Parameter-Dependent Lyapunov Functions for Exact Stability Analysis of Single-Parameter Dependent LTI Systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zhang, Xiping Tsiotras, Panagiotis |
| Copyright Year | 2003 |
| Abstract | In this paper, we propose a class of parameterdependent Lyapunov functions which can be used to assess the stability properties of linear, time-invariant, single-parameter dependent (LTIPD) systems in a non-conservative manner. It is shown that stability of LTIPD systems is equivalent to the existence of a Lyapunov function of a polynomial type (in terms of the parameter) of known, bounded degree satisfying two matrix inequalities. It is also shown that checking the feasibility of these matrix inequalities over a compact set can be cast as a convex optimization problem. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://dcsl.gatech.edu/papers/cdc03a.pdf |
| Alternate Webpage(s) | http://soliton.ae.gatech.edu/labs/dcsl/papers/cdc03a.pdf |
| Alternate Webpage(s) | http://www.ae.gatech.edu/people/tsiotras/Papers/cdc03a.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Checking (action) Convex optimization Linear time-invariant theory Lyapunov fractal Mathematical optimization Optimization problem Polynomial Population Parameter Time-invariant system |
| Content Type | Text |
| Resource Type | Article |
