Results 141 to 150 of about 1,347,569 (186)

Remarks on input to state stabilization

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
We announce a new construction of a stabilizing feedback law for nonlinear globally asymptotically controllable (GAC) systems. Given a control affine GAC system, our feedback renders the closed loop system input to state stable with respect to actuator errors and small observation noise.
Michael Malisoff, Ludovic Rifford, Eduardo D. Sontag   +2 more
openaire   +1 more source

Input-to-State Stability, Integral Input-to-State Stability, and Unbounded Level Sets

IFAC Proceedings Volumes, 2013
Abstract We provide partial Lyapunov characterizations for a recently proposed generalization of input-to-state and integral input-to-state stability (ISS and iISS, respectively). This generalization relies on the notion of stability with respect to two measures originally introduced by Movchan [1960].
Christopher M. Kellett, Fabian R. Wirth, Peter M. Dower   +2 more
openaire   +1 more source

On the Input-to-State Stability Property

European Journal of Control, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Singular perturbations and input-to-state stability

IEEE Transactions on Automatic Control, 1996
This paper establishes a type of total stability for the input-to-state stability property with respect to singular perturbations. In particular, if the boundary layer system is uniformly globally asymptotically stable and the reduced system is input-to-state stable with respect to disturbances, then these properties continue to hold, up to an ...
Panagiotis D. Christofides, Andrew R. Teel   +1 more
openaire   +1 more source

New characterizations of input-to-state stability

IEEE Transactions on Automatic Control, 1996
This paper studies some stability properties of the state response with respect to inputs of smooth nonlinear systems of the form \[ \dot x=f(x,u). \] The starting point is the so-called ISS property. This means that the norm of the solution is majorized at each future time \(t\) by an expression \(\beta(|\xi|,t)+\gamma(|u|)\), where \(\xi\) is the ...
Eduardo D. Sontag, Yuan Wang 0005
openaire   +1 more source

On differential input-to-state stability

2016 IEEE 55th Conference on Decision and Control (CDC), 2016
Recently, a Finsler-Lyapunov function is provided for incremental stability analysis in the contraction framework. In this paper, by using this Finsler-Lyapunov function, we study differential input-to-state stability (ISS). Especially, we give sufficient conditions for differential ISS and differential integral ISS.
openaire   +1 more source

A note on the robustness of input-to-state stability

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
Develops a unified framework for studying robustness of the input-to-state stability (ISS) property and presents new results on robustness of ISS to slowly varying parameters, to rapidly varying signals, and to generalized singular perturbations.
Andrew R. Teel, Luc Moreau 0002, Dragan Nesic   +2 more
openaire   +1 more source

A characterization of integral input-to-state stability

IEEE Transactions on Automatic Control, 2000
The authors present several necessary and sufficient Lyapunov-like characterizations of the integral input-to-state stability property in terms of dissipation inequalities and a zero-detectability condition allowing the application of the LaSalle invariance principle.
ANGELI, DAVID, E. Sontag, Y. Wang
openaire   +3 more sources

Stabilization of cascades using integral input-to-state stability

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
We analyze nonlinear cascades in which the driven subsystem is integral ISS, and characterize the admissible integral ISS gains for stability. This characterization makes use of the convergence speed of the driving subsystem, and allows a larger class of gain functions when the convergence is faster.
Murat Arcak, David Angeli, Eduardo D. Sontag   +2 more
openaire   +1 more source

Stability and input-to-state stability for stochastic systems and applications

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamad S. Alwan, Xinzhi Liu
openaire   +1 more source