Description
Mathematical Methods in Robust Control of Linear Stochastic Systems is a comprehensive treatment of control theory for systems subject to stochastic perturbations. This volume addresses the fundamental challenges of designing controllers that maintain stability and performance despite uncertainties and random disturbances.
The book explores advanced mathematical frameworks including linear matrix inequalities, Riccati equations, and H-infinity control methodologies. It provides rigorous proofs and practical algorithms for synthesizing robust controllers in uncertain environments. Key topics include state-space representations, feedback design, observer construction, and multi-objective control problems.
Intended for researchers, engineers, and graduate students, this work bridges pure mathematics with practical control engineering. The theoretical development is complemented by illustrative examples demonstrating real-world applications in aerospace, industrial processes, and signal processing systems.
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