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"This book aims to help the reader understand the linear continuous-time time-invariant dynamical systems theory and its importance for systems analysis and design of the systems operating in real conditions, i.e., in forced regimes under arbitrary initial conditions. It introduces the concept of the system full matrix P(s) in the complex domain and establishes its link with the system full transfer function matrix F(s). The text also establishes the full block diagram technique based on the use of F(s), which incorporates the Laplace transform of the input vector and the vector of all initial conditions. It explores the direct relationship between the system full transfer function matrix F(s) and the Lyapunov stability concept, definitions and conditions, as well as with the BI stability concept, definitions, and conditions. The goal of the book is to unify the study and applications of all three classes of the of the linear continuous-time time-invariant systems, for short systems"-- "This book aims to help the reader understand the linear continuous-time time-invariant dynamical systems theory and its importance for systems analysis and design of the systems operating in real conditions, i.e., in forced regimes under arbitrary initial conditions. The text completely covers IO, ISO and IIO systems. It introduces the concept of the system full matrix P(s) in the complex domain and establishes its link with the also newly introduced system full transfer function matrix F(s). The text establishes the full block diagram technique based on the use of F(s), which incorporates the Laplace transform of the input vector and the vector of all initial conditions. It explores the direct relationship between the system full transfer function matrix F(s) and the Lyapunov stability concept, definitions and conditions, as well as with the BI stability concept, definitions, and conditions. The goal of the book is to unify the study and applications of all three classes of the of the linear continuous-time time-invariant systems, for short systems."--Provided by publisher.

Linear control systems. --- Invariant manifolds. --- Time-domain analysis.

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Differential geometry. Global analysis --- Differentiable dynamical systems --- Hyperbolic spaces --- Invariant manifolds

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Differentiable dynamical systems. --- Invariant manifolds. --- Flows (Differentiable dynamical systems). --- Mappings (Mathematics).

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Ergodic theory. Information theory --- Ordinary differential equations --- 51 --- Mathematics --- Differentiable dynamical systems. --- Entropy. --- Ergodic theory. --- Global analysis (Mathematics) --- Invariant manifolds. --- Global analysis (Mathematics). --- 51 Mathematics

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Operator theory --- Differentiable dynamical systems --- Flows (Differentiable dynamical systems) --- Hyperbolic spaces --- Invariant manifolds --- Invariants --- Manifolds (Mathematics) --- Hyperbolic complex manifolds --- Manifolds, Hyperbolic complex --- Spaces, Hyperbolic --- Geometry, Non-Euclidean --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Differentiable dynamical systems. --- Systèmes dynamiques. --- Hyperbolic spaces. --- Espaces hyperboliques. --- Invariant manifolds. --- Variétés invariantes. --- Flows (Differentiable dynamical systems).