Abstract
In this paper, we study the state convergence of Lp-stable systems and input-to-state stable (ISS) systems given any Lp input signal where p in [1, infinity). Under some conditions on the system equations, it is shown that if the system is dissipative with a proper storage function H and supply rate s(y, u) = |u|^p - k|y|^p, k > 0 and it is zero-state detectable then the state x of the system converges to zero for any LP input. This implies also that the system is also Lp-stable. Using the same technique, if the system is ISS, under some conditions on the system equations and on the smooth ISS Lyapunov function, then the state x of the system converges to zero for any Lp input
| Original language | English |
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| Title of host publication | 45th IEEE Conference on Decision and Control |
| Publisher | IEEE (The Institute of Electrical and Electronics Engineers) |
| Pages | 995-1000 |
| Number of pages | 6 |
| ISBN (Print) | 1424401712 |
| DOIs | |
| Publication status | Published - 2006 |
| Event | IEEE Conference on Decision and Control - Duration: 16-Dec-2009 → 18-Dec-2009 |
Conference
| Conference | IEEE Conference on Decision and Control |
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| Period | 16/12/2009 → 18/12/2009 |