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 18 of 18 for “"Exponential stability"”.
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Exponential Stability for a Diffusion Equation in Polymer Kinetic Theory
In this paper we present an exponential stability result for a diffusion equation arising from dumbbell models for polymer flow. Using the methods of semigroup theory, we show that the semigroup U(t) associated with the diffusion equation is well defined and that all solutions converge …
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Design of Time-Varying Hybrid Zero Dynamics Controllers for Exponential Stabilization of Agile Quadrupedal Locomotion
… by these properties, we investigate the stability guarantees that can be provided by the time-varying approach. More specifically, we systematically establish necessary and sufficient conditions that guarantee exponential stability of periodic orbits for time-varying hybrid dynamical …
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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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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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Stochastic Wave Equations With Cubic Nonlinearities in Two Dimensions
… appropriate Hilbert space. Also, I studied the stability of N-dimensional truncations and give conclusions in three cases: stability in probability, estimates of L^p-growth, and almost sure exponential stability. The main tool is the study of related Lyapunov-type functionals which admits to …
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Control and stabilization of kdv-kdv and kp type systems
… mechanisms and delay terms, demonstrating the exponential decay of the energy associated with the system, given small initial data. For this purpose, we use the Lyapunov method and fixed-point arguments. In the context of the KP equation, we explore the critical length phenomenon, deriving …
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Compensator design for a system of two connected beams
… interested in the analysis of the uniformly exponential stability of the corresponding closed - loop systems resulting from the finite dimensional compensators. A specific multiple component flexible structure is used to focus the analysis and to test problem in numerical simulations. An …
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Nonlinear control and synchronization of multiple Lagrangian systems with application to tethered formation flight spacecraft
… of biological systems, contraction nonlinear stability theory provides a systematic method to reduce arbitrarily complex systems into simpler elements. One application of oscillation synchronization is a fully decentralized nonlinear control law, which eliminates the need for any …
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Nonlinear Adaptive Estimation Andits Application To Synchronization Of Lorenz System
… and persistent excitation analysis that exponential stability of state and parameter estimation is guaranteed. Simulation results are included to demonstrate properties of the algorithm. In a practical communication system, the received signals presented at the receiver part differ from …
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Some tracking problems for aerospace models with input constraints
… not be available, the uniform global asymptotic stability and uniform local exponential stability of our closed loop tracking dynamics, the generality of our class of trackable reference trajectories, and the input-to-state stability of the controller performance under actuator errors of …
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A Continuous-Time Nonlinear Observer for Estimating Structure from Motion from Omnidirectional Optic Flow
… utilizes an omni-directional optic flow field. Exponential stability of the observer is assured provided the persistency of excitation condition is met. Persistency of excitation is assured by altering the direction of motion sufficiently quickly. An equal convergence rate on the entire viewable …
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Stability results for constrained dynamical systems
… purpose of this dissertation is to investigate stability properties of two important classes of DAEs. We consider some special cases of Linear Time Invariant (LTI) DAEs with control inputs and outputs, and also a special class of Linear switched DAEs. In the first part of the thesis, we consider …
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NONLINEAR OBSERVER/CONTROLLER DESIGNS FOR SPACECRAFT ATTITUDE CONTROL SYSTEMS WITH UNCALIBRATED GYROS
… separately developed, then combined. Lyapunov stability analysis is used to demonstrate the stability and convergence properties of each design. First, an observer to estimate gyro bias is developed, both with and without added noise effects. The observer is shown to be exponentially stable …
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Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education
… the existence of equilibrium points and their stability. Original contributions of this dissertation are the modifications on the model of Cai et al. [1], which enables us to use optimal control theory to identify optimal roll-out of strategies to control the HIV/AIDS. Furthermore, we introduce …
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Stability And Controls For Stochastic Dynamic Systems
<p>This dissertation focuses on stability analysis and optimal controls for stochastic dynamic systems. It encompasses two parts. One part of our work gives an in-depth study of stability of linear jump diffusion, linear Markovian jump diffusion, multi-dimensional jump diffusion and</p> …
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Topics in Cooperative Control
… contribute a number of technical results to the stability theory of switched positive systems, and present a new cooperative control paradigm that leads to several cooperative control schemes which allow multi-agent systems to achieve a common goal while, at the same time, satisfying certain …
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Time-delay systems : stability, sliding mode control and state estimation
… control systems and it is often a source of instability or oscillation. This thesis is concerned with the stability, sliding mode control and state estimation problems of time-delay systems. Throughout the thesis, the Lyapunov-Krasovskii (L-K) method, in conjunction with the Linear Matrix …
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A convex solution to receding horizon control of switched linear systems
The uniform stabilization of discrete-time switched linear systems subject to a strongly connected switching constraint is exactly solved for finite-path-dependent controllers with finite horizon knowledge of future switching modes. Conditions for the existence of both a full-information …