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- Mikhail Krichman, Eduardo D. Sontag, Yuan Wang
- SIAM J. Control and Optimization
- 2001

This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the IOSS property and the existence… (More)

We show that any globally asymptotically controllable system on any smooth manifold can be globally stabilized by a state feedback. Since we allow discontinuous feedbacks, we interpret the solutions of our systems in the “sample and hold” sense introduced by Clarke-Ledyaev-Sontag-Subbotin (CLSS). Our work generalizes the CLSS Theorem which is the special… (More)

- Eduardo D. Sontag, Mikhail Krichman
- IEEE Trans. Automat. Contr.
- 2003

A construction of a globally asymptotically stable time-invariant system which can be destabilized by some integrable perturbation is given. Besides its intrinsic interest, this serves to provide counterexamples to an open question regarding Lyapunov functions.

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- J. Luis Guasch, Abhijit Banerjee, Tarun Khanna, Mikhail Krichman, Michael Kremer, Ananth Raman
- 2003

We find that raw materials inventories in the manufacturing sector in the 1970s and 1980s were two to three times higher in developing countries than in the United States, despite the fact than in most developing countries real interest rates are at least twice as high. Those significantly high levels of inventories are a burden and an obstacle to country… (More)

We show that any globally asymptotically controllable system on any smooth manifold can be globally stabilized by a state feedback. Since we allow discontinuous feedbacks, we interpret the solutions of our systems in the “sample and hold” sense introduced by Clarke-Ledyaev-Sontag-Subbotin (CLSS). Our work generalizes the CLSS Theorem which is the special… (More)

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