Results 121 to 130 of about 243,636 (166)
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On the Input-to-State Stability Property
European Journal of Control, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New characterizations of input-to-state stability
IEEE Transactions on Automatic Control, 1996This 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
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Singular perturbations and input-to-state stability
IEEE Transactions on Automatic Control, 1996This 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 +1 more
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On differential input-to-state stability
2016 IEEE 55th Conference on Decision and Control (CDC), 2016Recently, 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.
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A note on the robustness of input-to-state stability
Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002Develops 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 +2 more
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A characterization of integral input-to-state stability
IEEE Transactions on Automatic Control, 2000The 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
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Stabilization of cascades using integral input-to-state stability
Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002We 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 +2 more
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Stability and input-to-state stability for stochastic systems and applications
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamad S. Alwan, Xinzhi Liu
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Input-to-state stability for a class of Lurie systems
Automatica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Murat Arcak, Andrew R. Teel
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Input-to-state stability of switched nonlinear systems
Science in China Series F: Information Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Feng, Jifeng Zhang
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