| Description |
1 online resource (528 pages) |
| Series |
Systems Engineering |
|
Systems Engineering
|
| Contents |
Cover; Title Page; Copyright Page; Table of Contents; Authors; Preface; Introduction; 1: Mathematical Background; 1.1 Introduction; 1.2 Metric Spaces and Contraction Mapping Theory; 1.2.1 Nletric Spaces; 1.2.2 Nlappings in Nletric Spaces; 1.2.3 Contraction 1vlappings and Fixed Points; 1.3 Some Properties of Vectors and Matrices; 1.3.1 Norms of Vectors and 1viatrices; 1.3.2 Special Matrix Forms; 1.3.3 Matrix functions; Problems; 2: Mathematics of Dynamic Processes; 2.1 Solution of Ordinary Differential Equations; 2.1.1 Existence and Uniqueness Theorems |
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2.1.2 Solution of Linear Differential Equations2.1.3 Laplace Transform; 2.2 Solution of Difference Equations; 2.2.1 General Solutions; 2.2.2 Solution of Linear Difference Equations; 2.2.3 Z-transform; Problems; 3: Characterization of Systems; 3.1 The Concept of Dynamic Systems; 3.2 Equilibrium and Linearization; 3.3 Continuous Linear Systems; 3.3.1 State-Space Approach; 3.3.2 Transfer Functions; 3.3.3 Equations in Input-Output Form; 3.3.4 Combinations; 3.3.5 Adjoint and Dual Systems; 3.4 Discrete Systems; 3.5 Applications; 3.5.1 Dynamic Systems in Engineering |
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3.5.2 Dynamic Systems in Social SciencesProblems; 4: Stability Analysis; 4.1 The Elements of the Lyapunov Stability Theory; 4.1.1 Lyapunov Functions; 4.1.2 The stability of time-variant linear systems; 4.1.3 The Stability of Time-Invariant Linear Systems; 4.2 BIBO Stability; 4.3 Applications; 4.3.1 Applications in Engineering; 4.3.2 Applications in the Social Sciences; Problems; 5: Controllability; 5.1 Continuous Systems; 5.1.1 General Conditions; 5.1.2 Time-Invariant Systems; 5.1.3 Output and Trajectory ContraHability; 5.2 Discrete Systems; 5.3 Applications |
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5.3.1 Dynamic Systems in Engineering5.3.2 Applications in the Social Sciences; Problems; 6: Observability; 6.1 Continuous Systems; 6.1.1 General Conditions; 6.1.2 Time-Invariant Systems; 6.2 Discrete Systems; 6.3 Duality; 6.4 Applications; 6.4.1 Dynamic Systems in Engineering; 6.4.2 Applications in the Social Sciences; Problems; 7: Canonical Forms; 7.1 Diagonal and Jordan Forms; 7.2 ContraHability Canonical Forms; 7.3 Observability Canonical Forms; 7.4 Applications; 7.4.1 Dynamic Systems in Engineering; 7.4.2 Applications in the Social Sciences and Economics; Problems; 8: Realization |
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8.1 Realizability of Weighting Patterns8.1.1 Realizability Conditions; 8.1.2 Minimal Realizations; 8.1.3 Time-Invariant Realizations; 8.2 Realizability of 'fransfer Functions; 8.2.1 Realizability Conditions; 8.2.2 Minimal Realizations; 8.3 Applications; 8.3.1 Dynamic Systems in Engineering; 8.3.2 Applications in the Social Sciences and Economics; Problems; 9: Estimatian and Design; 9.1 The Eigenvalue Placement Theorem; 9.2 Observers; 9.3 Reduced-Order Observers; 9.4 The Eigenvalue Separation Theorem; 9.5 Applications; 9.5.1 Dynamic Systems in Engineering |
| Notes |
9.5.2 Applications in the Social Sciences and Economics |
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Print version record |
| Form |
Electronic book
|
| Author |
Bahill, Terry.
|
| ISBN |
1351435191 |
|
9781351435192 |
|
