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This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, among other techniques. Features of the book include: study of the stability problem for SMJSs with general transition rate matrices (TRMs); stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints; mode-dependent and mode-independent H∞ control solutions with development of a type of disordered controller; observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent; consideration of robust H∞ filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corresponding closed-loop system states applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays. Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course. .
Engineering. --- Control. --- Systems Theory, Control. --- Probability Theory and Stochastic Processes. --- Systems theory. --- Distribution (Probability theory). --- Ingénierie --- Distribution (Théorie des probabilités) --- Distribution (Probability theory. --- Jump processes. --- Queuing theory. --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Processes, Jump --- System theory. --- Probabilities. --- Control engineering. --- Markov processes --- Control and Systems Theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy
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This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, among other techniques. Features of the book include: study of the stability problem for SMJSs with general transition rate matrices (TRMs); stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints; mode-dependent and mode-independent H∞ control solutions with development of a type of disordered controller; observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent; consideration of robust H∞ filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corresponding closed-loop system states applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays. Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course. .
Operational research. Game theory --- Probability theory --- Electrical engineering --- Engineering sciences. Technology --- waarschijnlijkheidstheorie --- stochastische analyse --- automatisering --- systeemtheorie --- systeembeheer --- kansrekening --- automatische regeltechniek
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This book is the proceedings of the 2023 2nd International Conference on Public Service, Economic Management, and Sustainable Development (PESD 2023) held virtually in Xiamen, China. It compiles research and presentations on various topics including economic management, sustainable development, digitizing public safety, innovation management, finance, investment, and the information economy. With contributions from over 100 delegates worldwide, the book highlights key discussions such as ecological economy, low-carbon strategies, smart cities, social ecosystems, and human development. Intended for academics and professionals in economics and management, the volume provides insights into current theories and methods in these fields, emphasizing sustainability and innovation.
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