Journal ArticleDOI
Brief paper: Non-conservative matrix inequality conditions for stability/stabilizability of linear differential inclusions
Tingshu Hu,Franco Blanchini +1 more
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It is established that the existing stability/stabilizability conditions by means of polyhedral functions and based on matrix equalities are equivalent to the matrix inequality conditions, which implies that the composite quadratic functions are universal for robust, possibly constrained, stabilization problems of linear differential inclusions.About:
This article is published in Automatica.The article was published on 2010-01-01. It has received 75 citations till now. The article focuses on the topics: Lyapunov function & Differential inclusion.read more
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Recent developments on the stability of systems with aperiodic sampling: An overview
Laurentiu Hetel,Christophe Fiter,Hassan Omran,Alexandre Seuret,Emilia Fridman,Jean-Pierre Richard,Silviu-Iulian Niculescu +6 more
TL;DR: This article presents basic concepts and recent research directions about the stability of sampled-data systems with aperiodic sampling, and indicates the sources of conservatism, the problems that remain open and the possible directions of improvement.
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Fuzzy control turns 50
TL;DR: A quick recap of the history of fuzzy control: from model-free design, based on human reasoning to quasi-LPV (Linear Parameter Varying) model-based control design via some milestones, and key applications, and a last part devoted to discussion and possible future research topics.
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Discrete and Intersample Analysis of Systems With Aperiodic Sampling
TL;DR: Adopting a difference inclusion formalism, it is shown that necessary and sufficient stability conditions are given by the existence of discrete-time quasi-quadratic Lyapunov functions, which leads to sufficient stability criteria under LMI form.
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Polytopic LPV approaches for intelligent automotive systems: State of the art and future challenges
TL;DR: Different polytopic LPV control designs are summarized taking various settings on time-varying parameters into account, including the applications in internal combustion engines, electric vehicles and aftertreatment systems.
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A predictive control scheme for systems with variable time-delay
TL;DR: The starting point is the construction of a predictive control law which guarantees the existence of a nonempty robust positive invariant set with respect to the closed-loop dynamics, and an iterative algorithm is proposed in order to obtain an approximation of the maximal RPI set.
References
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Survey paper: Set invariance in control
TL;DR: An overview of the literature concerning positively invariant sets and their application to the analysis and synthesis of control systems is provided.
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Computation of piecewise quadratic Lyapunov functions for hybrid systems
Mikael Johansson,Anders Rantzer +1 more
TL;DR: The search for a piecewise quadratic Lyapunov function is formulated as a convex optimization problem in terms of linear matrix inequalities and the relation to frequency domain methods such as the circle and Popov criteria is explained.
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A Converse Lyapunov Theorem for a Class of Dynamical Systems which Undergo Switching
W.P. Dayawansa,Clyde F. Martin +1 more
TL;DR: The focus of this paper is to prove a converse Lyapunov theorem for this class of systems in which the dynamics at any instant in time will follow one of a fixed set of vector fields.
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Criteria of asymptotic stability of differential and difference inclusions encountered in control theory
TL;DR: For a class of differential inclusions, to which many of the practically important control systems can be reduced, necessary and sufficient conditions for asymptotic stability of the zero solution are established by the method of Lyapunov functions.