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  • A Variational Approach to Nonsmooth Dynamics

    Applications in Unilateral Mechanics and Electronics

    by Samir Adly ...
    Series series Mathematics and Statistics (R0)
    This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process.The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present ... Read more

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    In Honor of Alexander S. Poznyak

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    Series series Engineering (R0)
    This edited monograph contains research contributions on a wide range of topics such as stochastic control systems, adaptive control, sliding mode control and parameter identification methods. The book also covers applications of robust and adaptice control to chemical and biotechnological systems. This collection of papers commemorates the 70th birthday of Dr. Alexander S. Poznyak. ... Read more

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  • Feedback Stabilization of Controlled Dynamical Systems

    In Honor of Laurent Praly

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    This book is a tribute to Professor Laurent Praly and follows on from a workshop celebrating the occasion of his 60th birthday.It presents new and unified visions of the numerous problems that Laurent Praly has worked on in his prolific career: adaptive control, output feedback and observers, stability and stabilization. His main contributions are the central topic of this book.The book collects ... Read more

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    This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler–Lagrange equations to include fractional derivatives.The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems ... Read more

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  • Event-Triggered Sliding Mode Control

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    This edited monograph provides a comprehensive and in-depth analysis of sliding mode control, focusing on event-triggered implementation. The technique allows to prefix the steady-state bounds of the system, and this is independent of any boundary disturbances. The idea of event-triggered SMC is developed for both single input / single output and multi-input / multi-output linear systems. Moreover ... Read more

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  • Limits of Stability and Stabilization of Time-Delay Systems

    A Small-Gain Approach

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    This authored monograph presents a study on fundamental limits and robustness of stability and stabilization of time-delay systems, with an emphasis on time-varying delay, robust stabilization, and newly emerged areas such as networked control and multi-agent systems. The authors systematically develop an operator-theoretic approach that departs from both the traditional algebraic approach and the ... Read more

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  • The Robust Maximum Principle

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    Both refining and extending previous publications by the authors, the material in this monograph has been class-tested in mathematical institutions throughout the world. Covering some of the key areas of optimal control theory (OCT)—a rapidly expanding field that has developed to analyze the optimal behavior of a constrained process over time—the authors use new methods to set out a version of OCT ... Read more

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  • Robust Output LQ Optimal Control via Integral Sliding Modes

    Series series Mathematics and Statistics (R0)
    Featuring original research from well-known experts in the field of sliding mode control, this monograph presents new design schemes for implementing LQ control solutions in situations where the output system is the only information provided about the state of the plant. This new design works under the restrictions of matched disturbances without losing its desirable features. On the cutting-edge ... Read more

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    This book offers a concise and in-depth exposition of specific algorithmic solutions for distributed optimization based control of multi-agent networks and their performance analysis. It synthesizes and analyzes distributed strategies for three collaborative tasks: distributed cooperative optimization, mobile sensor deployment and multi-vehicle formation control. The book integrates miscellaneous ... Read more

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  • Model-Free Stabilization by Extremum Seeking

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    With this brief, the authors present algorithms for model-free stabilization of unstable dynamic systems. An extremum-seeking algorithm assigns the role of a cost function to the dynamic system’s control Lyapunov function (clf) aiming at its minimization. The minimization of the clf drives the clf to zero and achieves asymptotic stabilization. This approach does not rely on, or require knowledge ... Read more

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  • Periodic Feedback Stabilization for Linear Periodic Evolution Equations

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    This book introduces a number of recent advances regarding periodic feedback stabilization for linear and time periodic evolution equations. First, it presents selected connections between linear quadratic optimal control theory and feedback stabilization theory for linear periodic evolution equations. Secondly, it identifies several criteria for the periodic feedback stabilization from the ... Read more

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  • Constrained Control of Uncertain, Time-Varying, Discrete-Time Systems

    An Interpolation-Based Approach

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    A comprehensive development of interpolating control, this monograph demonstrates the reduced computational complexity of a ground-breaking technique compared with the established model predictive control. The text deals with the regulation problem for linear, time-invariant, discrete-time uncertain dynamical systems having polyhedral state and control constraints, with and without disturbances, ... Read more

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