Results 31 to 40 of about 12,108,737 (322)
Stabilization of Nonlinear Control-Affine Systems With Multiple State Constraints
IEEE Access, 2020 This paper considers the synthesis of stabilizing controllers for nonlinear control-affine systems under multiple state constraints. A new control Lyapunov-barrier function approach is introduced for solving the considered problem.
Jia-Yao Jhang +2 more
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Gap Functions and Lyapunov Functions
Journal of Global Optimization, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO +1 more
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Feedback Stabilization and Lyapunov Functions [PDF]
SIAM Journal on Control and Optimization, 2000 The authors consider the problem of finding a feedback stabilizing law \(x \to k(x)\) associated with a control system \(x'(t) = f(x(t),u(t))\). Using the concept of positional strategies introduced in the framework of differential games by Krasovskii and Subbotin in 1988, assuming the existence of a Lyapunov Lipschitz function \(V\) defined on the ...
Francis H. Clarke +3 more
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IEEE Open Journal of Industry Applications, 2023 Single-phase grid-forming inverters are commonly used in uninterruptible power supply (UPS) systems that feed single-phase critical loads in homes, data centers, and hospitals.
Udoka C. Nwaneto +2 more
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Computation and Verification of Lyapunov Functions [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Summary: Lyapunov functions are an important tool to determine the basin of attraction of equilibria in Dynamical Systems through their sublevel sets. Recently, several numerical construction methods for Lyapunov functions have been proposed, among them the RBF (Radial Basis Function) and CPA (Continuous Piecewise Affine) methods.
Peter Giesl, Sigurdur F. Hafstein
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A discrete logarithmic function and Lyapunov function
JSIAM Letters, 2022 Summary: The Lyapunov function plays an important role in the stability theory of dynamical systems. Its counterpart for discrete dynamical systems is not studied so much, though importance of such systems is increasing. In this letter, an attempt is made to construct a discrete analog of the Lyapunov function for the competitive Lotka-Volterra ...
Isojima, Shin, Suzuki, Seiichiro
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A Generalized Nonuniform Contraction and Lyapunov Function
Abstract and Applied Analysis, 2012 For nonautonomous linear equations x′=A(t)x, we give a complete characterization of general nonuniform contractions in terms of Lyapunov functions. We consider the general case of nonuniform contractions, which corresponds to the existence of what we ...
Fang-fang Liao +2 more
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A Control Lyapunov Function Approach to Feedback Stabilization of Logical Control Networks
SIAM Journal of Control and Optimization, 2019 This paper studies the feedback stabilization problem of $k$-valued logical control networks (KVLCNs), and proposes a control Lyapunov function (CLF) approach for this problem.
Haitao Li, Xueying Ding
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On Vector Lyapunov Functions [PDF]
Proceedings of the American Mathematical Society, 1971 It has been proved that the use of a vector Lyapunov function is more advantageous in certain situations rather than a scalar function. Moreover, each function needs to satisfy less rigid requirements. In this paper a new situation has been considered where vector Lyapunov functions play a further useful role. For this purpose, a new type of stability,
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Lyapunov Functionals in Integral Equations
Axioms, 2023 Lyapunov functions/functionals have found their footing in Volterra integro-differential equations. This is not the case for integral equations, and it is therefore further explored in this paper. In this manuscript, we utilize Lyapunov functionals combined with Laplace transform to qualitatively analyze the solutions of the integral equation In ...
Youssef N. Raffoul, Joseph Raffoul
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