Results 21 to 30 of about 1,347,569 (186)
A generalization of Input-to-State Stability
Input-to-State Stability (ISS) and its many derivatives have proved to be extremely useful in the analysis and design of robustly stable nonlinear systems. In this paper, we present a generalization of ISS that subsumes several ISS-type properties and discuss cases where this generalization may fail.
Christopher M. Kellett, Peter M. Dower
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In this article, input-to-state stability (ISS) and stabilization are examined for sampled-data systems under deterministic aperiodic sampling and random sampling, respectively.
Ping Zhao, Ben Niu, Wei Feng, Zhiguo Yan
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On continuity of solutions for parabolic control systems and input-to-state stability [PDF]
We study minimal conditions under which mild solutions of linear evolutionary control systems are continuous for arbitrary bounded input functions.
Jacob, Birgit +2 more
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On Input-to-State Stability of Impulsive Systems [PDF]
This paper introduces appropriate concepts of input-to-state stability (ISS) and integral-ISS for systems with impulsive effects. We provide a set of Lyapunov-based sufficient conditions to establish these properties. When the continuous dynamics are stabilizing but the impulsive effects are destabilizing, the impulses should not occur too frequently ...
João P. Hespanha 0001 +2 more
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Stability of limit regimes in general reaction-diffusion type systems
In this paper, we consider the stability of limit regimes for a general class of nonlinear distributed mathematical models named Reaction-Diffusion models. RD systems naturally arise in many applications.
О. В. Капустян +1 more
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A graph-theoretic approach to global input-to-state stability for coupled control systems
In this paper, the input-to-state stability for coupled control systems is investigated. A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method ...
Yu Qiao, Yue Huang, Minghao Chen
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Mean-square exponential input-to-state stability of stochastic inertial neural networks
By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state ...
Wentao Wang, Wei Chen
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Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes [PDF]
In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.
Grüne, Lars +2 more
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This paper proposes a gradient-descent-based learning (GL) gain for backstepping controller and disturbance observer (DOB) of nonlinear system. The proposed method consists of the GL gain update law, controller, and DOB.
Sesun You +3 more
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Input-to-State Stability of Fractional Order Recurrent Neural Networks with Delays
This paper discusses the input-to-state stability of delayed fractional-order recurrent neural networks. In order to ensure that the proposed system is input-to-state stable, the feedback controllers are designed.
XU Guoxiong;BAO Haibo
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