- Title
- On the robust stability of 2D mixed continuous-discrete-time systems with uncertainty
- Creator
- Chesi, Graziano; Middleton, Richard H.
- Relation
- 2014 American Control Conference (ACC). Proceedings of 2014 American Control Conference ACC (Portland, Oregon 04-06 June, 2014) p. 4967-4972
- Publisher Link
- http://dx.doi.org/10.1109/ACC.2014.6858695
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2014
- Description
- This paper addresses the problem of establishing robust exponential stability of 2D mixed continuous-discrete-time systems affected by uncertainty. Specifically, it is supposed that the matrices of the system are polynomial functions of an uncertain vector constrained over a semialgebraic set. First, it is shown that robust exponential stability is equivalent to the existence of a complex Lyapunov functions depending polynomially on the uncertain vector and an additional parameter of degree not greater than a known quantity. Second, a condition for establishing robust exponential stability is proposed via convex optimization by exploiting sums-of-squares (SOS) matrix polynomials. This condition is sufficient for any chosen degree of the complex Lyapunov function candidate, and is also necessary for degrees sufficiently large.
- Subject
- linear systems; uncertain systems; Lyapunov methods; asymptotic stability
- Identifier
- http://hdl.handle.net/1959.13/1294850
- Identifier
- uon:18883
- Identifier
- ISBN:9781479932740
- Language
- eng
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