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Further Results on Incremental Input-to-State Stability
IEEE Transactions on Automatic Control, 2009Incremental stability notions defined by means of comparison functions in a state-space framework are further investigated. In particular, we provide a continuous converse Lyapunov theorem for incremental integral ISS and show that the incremental integral property is at least as strong as incremental ISS.
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Local input-to-state stability: Characterizations and counterexamples
Systems & Control Letters, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On integral-input-to-state stabilization
Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), 1999Continues the investigation of the integral version of input-to-state stability (iISS). We study the problem of designing control laws that achieve iISS disturbance attenuation. The main contribution is a concept of control Lyapunov function whose existence leads to an explicit construction of such a control law.
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Input-to-State Stabilization with Quantized Output Feedback
2008We study control systems where the output subspace is covered by a finite set of quantization regions, and the only information available to a controller is which of the quantization regions currently contains the system's output. We assume the dimension of the output subspace is strictly less than the dimension of the state space.
Yoav Sharon, Daniel Liberzon
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Input-to-State Stability of Nonlinear Functional Systems
IFAC Proceedings Volumes, 2013Abstract The notion of input-to-state stability, given by Sontag in 1989, has had a great impact in the analysis and control of finite dimensional systems described by ordinary differential equations. In the last ten years, the same notion has been investigated for nonlinear functional systems, that is for systems described by retarded functional ...
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Input-to-State Stability for Stochastic Delay Neural Networks with Markovian Switching
Neural Processing Letters, 2021Huabin Chen, Chen Huabin
exaly
Input-to-state stability of nonlinear systems with hybrid inputs and delayed impulses
Nonlinear Analysis: Hybrid Systems, 2022ｙｕａｎｙｕａｎ Ｌｉ +1 more
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Effect of delayed impulses on input-to-state stability of nonlinear systems
Automatica, 2017Xiaodi Li, Shiji Song
exaly