Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 74 for “"Asymptotic Stability"”.
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Some asymptotic stability results for the Boussinesq equation
We prove that the solution of the Boussinesq equation with relatively small initial data exists globally and decays exponentially under some boundary conditions.
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Asymptotic stability and completeness in 2D nonlinear Schrodinger equation
In this thesis we obtained new results on the asymptotic stability of ground states of the nonlinear Schrödinger equation in space dimension two. Under our hypotheses, the result actually shows asymptotic completeness in the regime of small initial data, i.e. any small initial data evolves into a …
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Asymptotic Stability of the Ground States of the Nonlinear Schrodinger Equation
… (in L2( RN )) nonlinearities. We study the asymptotic stability of the nonlinear bound states, i.e. periodic in time localized in space solutions. Our result shows that all solutions with small initial data, converge to a nonlinear bound state. Therefore, the nonlinear bound states are …
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Stability of linear autonomous systems under regular switching sequences
In this work, we discuss the stability of a discrete-time linear autonomous system under regular switching sequences, whose switching sequences are generated by a Muller automaton. This system arises in various engineering problems such as distributed communication and automotive engine control. …
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Bergman kernel and stability of holomorphic vector bundles with sections
In this thesis, we introduce a notion of asymptotic stability for a holomorphic vector bundle with a global holomorphic section on a projective manifold. We prove that the special metric on the bundle studied by Bradlow is the limit of a sequence of balanced metrics that are induced from the …
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Geometric Invariant Theory Quotient of the Hilbert Scheme of Six Points on the Projective Plane
We provide an asymptotic stability portrait for the Hilbert scheme of six points on the complex projective plane, and provide a description of its geometric invariant theory (GIT) quotient.
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Some New Results on Difference Equations of Convolution Type
… to obtain easily verified conditions for asymptotic stability of the zero solution, in terms of the coefficient sequence. Explicit bounds and rates of convergence are considered. We use these results to provide some new bounds for inverses of positive triangular matrices with monotonic …
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INVESTIGATIVE STUDY OF CONTROL DESIGN FOR A CLASS OF NONLINEAR SYSTEMS USING MODIFIED STATE-DEPENDENT DIFFERENTIAL RICCATI EQUATION
… (SDC), SDRE-based controllers guarantee local asymptotic stability of the closed-loop system, under pointwise stabilizability and detectability conditions. Moreover, the optimal control for a quadratic cost function, when it exists, corresponds to an SDRE-based control design for a specific SDC …
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ΑΣΥΜΠΤΩΤΙΚΗ ΘΕΩΡΙΑ ΜΗ ΟΜΟΓΕΝΩΝ ΜΑΡΚΟΒΙΑΝΩΝ ΣΥΣΤΗΜΑΤΩΝ
… CONTRIBUTION OF THE THESIS IS CONCERNED WITH THE ASYMPTOTIC BEHAVIOUROF VARIANCES AND COVARIANCES IN A MARKOV SYSTEM AND A THEOREM IS PROVIDED WHICH SOLVES THE PROBLEM IN THE MOST GENERAL CASE. IN THE NEXT CHAPTER THE CONCEPT OF CONTINUOUS TIME NON-HOMOGENEOUS MARKOV SYSTEM IS INTRODUCED AND THE …
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QUALITATIVE AND QUANTITATIVE ANALYSIS OF STOCHASTIC MODELS IN MATHEMATICAL EPIDEMIOLOGY
… a unique strong solution and discuss stochastic asymptotic stability of disease free and endemic equilibria. We also investigate numerical properties of these models and prove the convergence of the Balanced Implicit Method approximation to the analytic solution. We simulate the models with …
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Stochastic stability and global bifurcations in gyroscopic mechanical systems
The stability and bifurcation behavior of mechanical systems parametrically excited by small periodic or stochastic perturbations is studied. In the case of random excitation, the almost-sure and moment asymptotic stability of two- and four-dimensional dynamical systems subject to small intensity …
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Dynamic Neural Network-based Adaptive Inverse Optimal Control Design
… variables are determined posterior. All the stability of the closed loop system is ensured using the Lyapunov-based analysis. In addition to structure stability, uncertainty/ disturbance presents a problem to a DNN in that it could degrade the system performance. Therefore, the DNN needs a …
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Environmental Tracking and Formation Control for an Autonomous Underwater Vehicle Platoon with Limited Communication
… but whose time-averaged system is connected. The stability and input-output properties of the switched system are related to those of the corresponding average system. Under sufficiently fast switching, asymptotic stability of the average system implies asymptotic stability of the switched system …
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A Two-Dimensional Systems Stability Analysis of Vehicle Platoons
… of this dissertation are in the field of stability analysis of linear and nonlinear two-dimensional systems. The study of stability of such systems is motivated by the “string stability” or “platooning” problem: In order to achieve tighter spacing between vehicles travelling one after the …
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Optimal feedback control for nonlinear discrete systems and applications to optimal control of nonlinear periodic ordinary differential equations
… improved performance and larger regions of asymptotic stability in the nonlinear system context. The main work of this thesis is carried out in two parts; the first involves development of nonlinear, nonquadratic theory for nonlinear recursion equations and formulation, proof and application …
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Analysis and control of kinematic error in harmonic gear drive mechanisms
… variable to the desired position. Additionally, asymptotic stability result reveals that in case of PD control, sensors should be placed to measure at the load end.
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A Lyapunov-based small-gain theorem for interconnected switched systems
Stability of an interconnected system consisting of two switched systems is investigated in the scenario where in both switched systems there may exist some subsystems that are not input-to-state stable (non-ISS). We have shown that, providing the switching signals neither switch too frequently nor …
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Análise de estabilidade em dinâmica industrial
… a contribution to the study and analysis of the stability of systems described by models for "Industrial Dynamics”. To this end, the models are placed under a mathematical formulation suitable for the application of known results about stability; specifically, the second method of Liapunov. Based …
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Stochastic Stability and Nonlinear Control in Mechanical Systems
Almost-sure asymptotic stability of 3 and 4 dimensional co-dimension two dynamical systems under small intensity stochastic excitations is investigated. The method of stochastic averaging is used to derive a set of approximate Ito equations which are then examined to obtain the almost-sure …
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A distributed local Kalman consensus filter for traffic estimation: design, analysis and validation
… of the proposed DLKCF is shown to be globally asymptotically stable (GAS) when all freeway sections switch between observable modes. For an unobservable section, the estimates given by the DLKCF are proved to be ultimately bounded. We also show that under some frequently encountered conditions, …
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