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- Debasish Chatterjee, Daniel Liberzon
- SIAM J. Control and Optimization
- 2006

This paper presents a general framework for analyzing stability of nonlinear switched systems, by combining the method of multiple Lyapunov functions with a suitably adapted comparison principle in the context of stability in terms of two measures. For deterministic switched systems, this leads to a unification of representative existing results and an… (More)

- Linh Vu, Debasish Chatterjee, Daniel Liberzon
- Automatica
- 2007

In this paper we prove that a switched nonlinear system has several useful input-to-state stable (ISS)-type properties under average dwell-time switching signals if each constituent dynamical system is ISS. This extends available results for switched linear systems. We apply our result to stabilization of uncertain nonlinear systems via switching… (More)

- Peter Hokayem, Eugenio Cinquemani, Debasish Chatterjee, Federico Ramponi, John Lygeros
- Automatica
- 2012

Stochastic receding horizon control with output feedback and bounded controls. HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.… (More)

Probabilistic Computation Tree Logic (PCTL) is a well-known modal logic which has become a standard for expressing temporal properties of finite-state Markov chains in the context of automated model checking. In this paper, we consider PCTL for noncountable-space Markov chains, and we show that there is a substantial affinity between certain of its… (More)

We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost over a finite horizon. Hard constraints are introduced first, and then reformu-lated in terms of probabilistic constraints. It is shown that, for a suitable parametrization of the control… (More)

- Peter Hokayem, Debasish Chatterjee, John Lygeros
- CDC
- 2009

- Eugenio Cinquemani, Mayank Agarwal, Debasish Chatterjee, John Lygeros
- Automatica
- 2011

We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost subject to probabilistic constraints. We study the convexity of a finite-horizon optimization problem in the case where the control policies are affine functions of the disturbance input.… (More)

- Debasish Chatterjee, Peter Hokayem, John Lygeros
- IEEE Trans. Automat. Contr.
- 2011

- Debasish Chatterjee, Daniel Liberzon
- IEEE Trans. Automat. Contr.
- 2007

This article is concerned with stability analysis and stabilization of randomly switched nonlinear systems. These systems may be regarded as piecewise deterministic stochastic systems: the discrete switches are triggered by a stochastic process which is independent of the state of the system, and between two consecutive switching instants the dynamics are… (More)

- Debasish Chatterjee, Amit Patra, Harish K. Joglekar
- Systems & Control Letters
- 2002

This paper describes the swing-up and stabilization of a cart–pendulum system with a restricted cart track length and restricted control force using generalized energy control methods. Starting from a pendant position, the pendulum is swung up to the upright unstable equilibrium conÿguration using energy control principles. An " energy well " is built… (More)