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Multifractal Analysis for Lyapunov Exponents on Nonconformal Repellers
Communications in Mathematical Physics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barreira, L., Gelfert, K.
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Lyapunov Functions in the Global Analysis of Chaotic Systems
Ukrainian Mathematical Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lyapunov-Based Robustness Analysis Techniques for Clearance
2012This chapter considers different techniques for robustness analysis of uncertain systems modeled by linear fractional representations, based on the use of parameter-dependent Lyapunov functions and multipliers. Several sufficient conditions for robust stability, relying on the choice of simplified structures for the Lyapunov function and the multiplier
Garulli, Andrea +3 more
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Lyapunov-Based Stability Analysis
2014This chapter presents generalizations of the direct Lyapunov method to TDSs. In the first section, for general TDSs, the stability notions are defined, and Lyapunov–Krasovskii and Lyapunov–Razumikhin stability theorems are stated. The second section gives a short introduction to linear matrix inequalities. Sections 3.3–3.7 and 3.10 are devoted to delay-
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Lyapunov-based stability analysis automated by genetic programming
2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006This contribution describes an automatic technique for detecting maximal domains of attraction for nonlinear systems using genetic programming (GP). The theoretical basis for the work is Lyapunov's Direct Method, which provides sufficient conditions for the existence of a region of attraction of a stable focus.
Benyamin Grosman, Daniel R. Lewin
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Applications of Lyapunov-Based Analysis Techniques for Clearance
2012This chapter presents results obtained by applying the Lyapunov-based robustness analysis techniques developed in Chapter 9 to two clearance problems: aeroelastic stability and un-piloted stability. The considered techniques have been employed to certify robust stability of a number of LFR models, derived from the physical models of a benchmark civil ...
Garulli, Andrea +3 more
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Linear Programming, Lyapunov Functions, and Performance Analysis
2008 Fifth International Conference on Quantitative Evaluation of Systems, 2008Many of the stochastic models that are used in the performance engineering context can be viewed as Markov processes, evolving in either discrete time or continuous time. In this talk, we will discuss the use of Lyapunov functions in computing steady-state performance bounds for such Markov processes. We will further discuss how such bounds can be used
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On absolute stability analysis by polyhedral Lyapunov functions
Automatica, 2000This paper presents a numerically efficient algorithm to compute a polyhedral Lyapunov function for a linear differential inclusion. A numerical example is given to illustrate the efficiency of the algorithm.
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Dual Lyapunov stability analysis in behavioral approach
2008 47th IEEE Conference on Decision and Control, 2008This paper considers a Lyapunov stability analysis for continuous-time systems described by high order difference-algebraic equation from the viewpoint of the semidefinite programming (SDP) duality. In the behavioral system theory, a Lyapunov function is described by a quadratic differential form (QDF) and equivalently characterized by a two-variable ...
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A Fuzzy Lyapunov Function Method to Stability Analysis of Fractional-Order T–S Fuzzy Systems
IEEE Transactions on Fuzzy Systems, 2022Zhanshan Wang, Xiaofei Fan
exaly