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Engineering Stability Evaluations
This chapter discusses some common engineering approaches to stability problems, of which at least a few should be well-known to a reader. The...
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Stability
This chapter is devoted to the study of the stability for singular systems in both the continuous and discrete contexts. The definitions of...
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Stability of Multivariable Systems
The chapter collects definitions of some stability notions such as stability in the sense of Lyapunov, asymptotic stability, internal stability, or...
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MQ quasi-interpolation-based level set method for structural topology optimization
Parametric level set method (PLSM) using interpolation method, such as radial basis function (RBF) interpolation, exposes high computational cost and...
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Invariant set theorems for non-autonomous time-fractional systems
Though the commonly used fractional Lyapunov stability and LaSalle theorems have been beneficial in the development of the theory and applications of...
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3. Stability of Linear Switched and Impulsive Systems
In the previous chapter, we have set up the basic framework for the stability analysis of switched and impulsive systems. The framework provides the...
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Direct Lyapunov Method in the Problem of Ensuring the Stability of a Compact Minimum Set of a Dynamic System and the Formation of a Halo-Orbit Near the Lagrange Point L2
AbstractThe efficiency of using the direct Lyapunov method for ensuring the stability of motion in compact invariant sets of finite-dimensional...
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Lyapunov Stability of Motion
TheLyapunov stabilityof motion main intent of this chapter is to introduce the essential mathematical tools for stability analysis of continuous...
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Water Stability of UHDMC
The exceptional qualities of magnesium phosphate cement-based ultra-high ductile composites (UHDMC) for repair and reinforcement are fully utilized....
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Limit Cycles and Stability Criteria
Chapter 2 of the book Nonlinear Systems and Controls deals with the stability theory of dynamic systems. At the beginning, the determination of limit...
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Molecular set representation learning
Computational representation of molecules can take many forms, including graphs, string encodings of graphs, binary vectors or learned embeddings in...
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Stability (Buckling)
The term stability is used in many different ways in everyday and technical language. Here we restrict ourselves to the static stability of elastic...
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Stochastic Stability Analysis and Stabilization
This chapter focuses on the stochastic stability analysis and the stabilizing controller design problem for discrete-time Markov jump singularly...
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Global Stability Approach
This chapter introduces the global stability approach and the need for such an approach to study the stability of non-parallel flows. We first...
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2. Fuzzy Systems and Stability Analysis
Stability analysis of fuzzy systems is a very important research .eld in fuzzy systems practically from the pioneer work of E.H. Mamdani on fuzzy...
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6 Stability, Told by Its Developers
Lyapunov stability theory is probably the most useful qualitative method to study the behaviour of dynamical systems; it benefits from at least 75...
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Stability of Feature Selection Algorithms
Feature selection is in great demand as it is a crucial phase in classification, clustering, and prediction tasks all around the different sectors....
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Stability and Stabilization
In this chapter, the problems of mean stability analysis and control synthesis are studied for stochastic jump systems subject to positive...
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State Feedback Set Stabilization for a Class of Nonlinear Systems
A controller for a class of multiple input systems is proposed, with a subset of nonlinear positive systems as a special case. The controller is...
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Buckling optimization of curvilinear fiber-reinforced composite structures using a parametric level set method
Owing to their excellent performance and large design space, curvilinear fiber-reinforced composite structures have gained considerable attention in...
